Publication List of Junping Shi (Google scholar page)

Books or edited volume



DCDS A, Special Issue on Variational Problems and Applications, Volume: 19, Number: 2, October 2007, edited by Chjan C. Lim, Mitsuharu Otani, Junping Shi

DCDS A, Special Issue for Peter Bates’ 60th birthday, Volume: 24, Number: 3, July 2009, edited by Jibin Li, Kening Lu, Junping Shi and Chongchun Zeng

Applicable Analysis, Special issue on Analysis and Applications of PDE in Biomathematics, Volume 89, Number 7, July 2010, edited by Junping Shi, Xingfu Zou

 

DCDS S, Special issue on nonlinear elliptic & parabolic equations with applications, in honor of professor Yihong Du's 60th birthday, Volume 17, Number 2 (Part I) and Number 4 (Part II), 2024, edited by Daniel Hauer, Rui Peng, Junping Shi.

Published articles (in English)

2025

 

1.     Tao, Yiwen; Shi, Junping; On a Reaction-Diffusion-Advection Glucose Metabolism Model. SIAM J. Appl. Math. 85 (2025), no. 2, 711--729.

2.     Liu, Xuanyu; Shi, Junping; Wang, Chuncheng; Fan, Dejun, Global boundedness of solutions to a class of partial differential equations with time delay. J. Differential Equations 435 (2025), Article 113232.

 

2024

 

1.     Zhang, Jimin; Yan, Yawen; Shi, Junping, Modelling phytoplankton-virus interactions: phytoplankton blooms and lytic virus transmission. J. Math. Biol. 88 (2024), no. 6, Paper No. 77, 35 pp.

2.     Shi, Junping; Shi, Qingyan, Spatial movement with temporally distributed memory and Dirichlet boundary condition. J. Differential Equations 389 (2024), 305--337.

 

2023

  1. Chen, Shanshan; Shi Junping; Shuai Zhisheng; Wu Yixiang, Evolution of dispersal in advective patchy environments. Journal of Nonlinear Science 33 (2023), no. 3, Paper No. 40, 35 pp.
  2. Wang, Jun; Shi, Junping, Standing Waves of Coupled Schrödinger Equations with Quadratic Interactions from Raman Amplification in a Plasma. Ann. Henri Poincaré 24 (2023), no. 6, 1923--1970.

2022

  1. Song, Yongli; Shi, Junping; Wang, Hao, Spatiotemporal dynamics of a diffusive consumer-resource model with explicit spatial memory. Stud. Appl. Math. 148 (2022) 737--395.
  2. Chen, Shanshan; Shi Junping; Shuai Zhisheng; Wu Yixiang, Global dynamics of a Lotka-Volterra competition patch model. Nonlinearity 35 (2022) 817--842.
  3. Ping Liu, Junping Shi, A degenerate bifurcation from simple eigenvalue theorem. Electronic Research Archive. 30 (2022) 116--125.
  4. Zaytseva, Sofya; Shaw, Leah; Shi, Junping; Kirwan, Matthew; Lipcius, Rom, Pattern formation in marsh ecosystems modeled through the interaction of marsh vegetation, mussels and sediment. J. Theor. Biol. 543, (2022),111102.
  5. Chen, Shanshan; Shi Junping; Shuai Zhisheng; Wu Yixiang, Two Novel proofs of Spectral Monotonicity of Perturbed Essentially Nonnegative Matrices with Applications in Population Dynamics. SIAM J. Appl. Math. 82 (2022), no. 2, 654--676.
  6. Chang, Xiaoyuan, Shi, Junping, Bistable and oscillatory dynamics of Nicholson's blowflies equation with Allee effect. Discrete Contin. Dyn. Syst. Ser. B. 27 (2022), no. 8, 4551--4572.
  7. Hambric, Christopher; Li, Chi-Kwong; Pelejo, Diane Christine; Shi, Junping, Minimum number of non-zero-entries in a stable matrix exhibiting Turing instability. Discrete Contin. Dyn. Syst. Ser. S. 15 (2022) no.9, 2497-2511.
  8. Fang, Jian; Shao, Penglong;Shi, Junping, Bistable traveling waves for time periodic reaction-diffusion equations in strip with Dirichlet boundary condition. J. Differential Equations. 339 (2022) 350--371.
  9. Shi, Qingyan; Shi, Junping; Song, Yongli, Effect of spatial average on the spatiotemporal pattern formation of reaction-diffusion systems. J. Dynam. Differential Equations. 34 (2022) 2123--2156.
  10. Wang, Xiaoli; Shi, Junping; Zhang, Guohong, Bifurcation and pattern formation in an activator-inhibitor model with non-local dispersal. Bull. Math. Biol. 84 (2022), no. 12, Paper No. 140.

 

2021

  1. Chang, Xiaoyuan; Shi, Junping; Wang, Hao, Spatial modeling and dynamics of organic matter biodegradation in the absence or presence of bacterivorous grazing. Math. Biosci. 331 (2021) 108501, 17 pp.
  2. Wang, Xiaoli; Shi, Junping;  Zhang, Guohong, Bifurcation and pattern formation in diffusive Klausmeier-Gray-Scott model of water-plant interaction.  J. Math. Anal. Appl. 497 (2021) 124860, 27 pp.
  3. Wang, Jinfeng; Wu, Sainan; Shi, Junping, Pattern formations in diffusive predator-prey systems with predator-taxis and prey-taxis. Discrete Contin. Dyn. Syst. Ser. B. 26 (2021), no. 3, 1273--1289.
  4. Chen, Shanshan; Shi, Junping; Zhang, Guohong, Spatial pattern formation in activator-inhibitor models with nonlocal dispersal. Discrete Contin. Dyn. Syst. Ser. B. 26 (2021), no. 4, 1843--1866.
  5. Zuo, Wenjie; Shi Junping, Existence and stability of steady state solutions of reaction-diffusion equations with nonlocal delay effect. Zeitschrift fuer Angewandte Mathematik und Physik (ZAMP).  72 (2021), no. 2, Paper No. 43, 26 pp.
  6. Zhang, Jimin; Kong, Jude; Shi, Junping; Wang, Hao, Phytoplankton competition for nutrients and light in a stratified lake: a mathematical model connecting epilimnion and hypolimnion. Journal of Nonlinear Science. 31 (2021), no. 2, Paper No. 35, 42 pp.
  7. Shi, Qingyan; Shi, Junping; Wang, Hao, Spatial Movement with distributed memory. J. Math. Biol.  82 (2021), no. 4, Paper No. 33, 32 pp.
  8. Jordan-Cooley, William C.; Lipcius, Romuald N.; Shaw, Leah B.; Shen, Jian; Shi, Junping, Corrigendum to "Bistability in a differential equation model of oyster reef height and sediment accumulation'' [J. Theor. Biol. 289 (2011) 1-11]. J. Theoret. Biol. 525 (2021), 110735.
  9. Ni, Wenjie; Shi, Junping; Wang, Mingxin, Global stability of spatially nonhomogeneous steady state solution in a diffusive Holling-Tanner predator-prey model. Proc. Amer. Math. Soc. 149 (2021), no. 9, 3781--3794.
  10. Zhang, Jimin; Shi, Junping; Chang, Xiaoyuan, Model of Algal Growth Depending on Nutrients and Inorganic Carbon in a Poorly Mixed Water Column. J. Math. Biol. 83 (2021), no. 2, Paper No. 15, 30 pp.

11.  Lipcius, Romuald N.; Zhang, Yi; Zhou, Jingyi; Shaw, Leah B.; Shi, Junping, Modeling Oyster Reef Restoration: Larval Supply and Reef Geometry Jointly Determine Population Resilience and Performance. Frontiers in Marine Science, 8:677640 (2021).

12.  Junping Shi, Chuncheng Wang, Hao Wang, Spatial movement with diffusion and memory-based self-diffusion and cross-diffusion. J. Differential Equations. 305 (2021), 242--269.

 

2020

  1. Jiang, Weihua; An, Qi;  Shi, Junping, Formulation of the normal forms of Turing-Hopf bifurcation in reaction-diffusion systems with time delay. J. Differential Equations. 268 (2020), 6067--6102.
  2. Zaytseva, Sofya;  Shi, Junping; Shaw, Leah, Model of pattern formation in marsh ecosystems with nonlocal interactions.  J. Math. Biol. 80 (2020), 655--686.
  3. Chen, Shanshan; Shi, Junping, Global dynamics of the diffusive Lotka-Volterra competition model with stage structure. Calc. Variations and Part. Differential Equations (2020) 59:33.
  4. Huang Yongyan, Li Fuyi, Shi Junping, Stability of Synchronized Steady State Solution of Diffusive Lotka-Volterra Predator-Prey Model.  Appl. Math. Lett. 105 (2020), 106331.
  5. Shi, Junping; Wang, Chuncheng; Wang, Hao; Yan, Xiangping, Diffusive spatial movement with memory. J. Dynam. Differential Equations 32 (2020), no. 2, 979--1002.
  6. Shi, Junping; Wu, Yixiang; Zou, Xingfu, Coexistence of competing species for intermediate dispersal rates in a reaction-diffusion chemostat model. J. Dynam. Differential Equations 32 (2020), no. 2, 1085--1112.
  7. Chen, Shanshan; Shi, Junping, Asymptotic Profiles of Basic Reproduction Number for Epidemic Spreading in Heterogeneous Environment. SIAM J. Appl. Math. 80 (2020), no. 3, 1247--1271.
  8. Chen, Shanshan; Shi, Junping; Erratum: Asymptotic Profiles of Basic Reproduction Number for Epidemic Spreading in Heterogeneous Environment. SIAM J. Appl. Math. 80 (2020), no. 4, 1999--2000. 
  9. Chen, Shanshan; Shi Junping; Shuai Zhisheng; Wu Yixiang, Asymptotic profiles of the steady states for an SIS epidemic patch model with asymmetric connectivity matrix. J. Math. Biol. 80 (2020), no. 7, 2327--2361.
  10. Wang, Yan; Shi, Junping, Dynamics of a Reaction-Diffusion Benthic-Drift Model with Strong Allee Effect Growth. J. Differential Equations. 269 (2020), 7605--7642.
  11. Ni, Wenjie; Shi, Junping; Wang, Mingxin, Global stability of nonhomogeneous equilibrium solution for the diffusive competition model. Calc. Variations and Part. Differential Equations (2020) 59:132.

 

2019

  1. Shi, Qingyan; Shi, Junping; Song, Yongli, Hopf bifurcation and pattern formation in a diffusive delayed logistic model with spatial heterogeneity. Disc. Cont. Dyna. Syst. B. 24 (2019), no. 2, 467--486.
  2. Chen, Shanshan; Liu, Zonghao; Shi, Junping, Nonexistence of nonconstant positive steady states of a diffusive predator-prey model with fear effect. Nonlinear Modeling and Analysis. 1 (2019), no.1, 47--56.
  3. Hambric, Christopher; Li, Chi-Kwong; Pelejo, Diane Christine; Shi, Junping, Minimum number of non-zero-entries in a 7×7 stable matrix. Linear Algebra Appl. 572, (2019), 135--152.
  4. Shi, Junping; Zhang, Jimin; Zhang, Xiaoyan,  Dynamical analysis of an algae growth model in a pelagic-benthic coupled shallow aquatic ecosystem. Comm. Pure Appl. Anal. 18, (2019), 2325--2347.
  5. Wang, Xiaoli;  Shi, Junping; Zhang, Guohong, Bifurcation analysis of a model on wild and sterile mosquito interaction. Math. Bios. Engi. (MBE) (2019) 16(5): 3215--3234.
  6. Chen, Shanshan; Shi, Junping, Threshold dynamics of a diffusive nonlocal phytoplankton model with age structure. Nonlinear Anal. Real World Appl. (2019) 50: 55--66.
  7. Wang, Yan; Shi, Junping; Wang, Jinfeng, Persistence and extinction of population in reaction–diffusion–advection model with strong Allee effect growth. J. Math. Biol. 78 (2019), no. 7, 2093--2140.
  8. Li, Yuhua; Hao, Xiaocui; Shi, Junping, Existence of constrained minimizers for a class of functional with Kirchhoff terms and double critical exponents. Nonlinear Anal. 186 (2019), 99--112.
  9. Wang, Yan; Shi, Junping, Persistence and extinction of population in reaction-diffusion-advection model with weak Allee effect growth. SIAM J. Appl. Math. 79 (2019), 1293--1313.
  10. Chen, Sitong; Shi, Junping; Tang, Xianhua, Ground state solutions of Nehari-Pohozaev type for the planar Schrodinger-Poisson system with general nonlinearity. Disc. Cont. Dyna. Syst. A. 39 (2019), 5867--5889.
  11. Shi, Junping; Wang, Chuncheng; Wang, Hao, Diffusive spatial movement with memory and maturation delays. Nonlinearity 32 (2019), 3188--3208.
  12. Tian, Chenwei; Shi, Qingyan; Cui, Xinping; Guo, Jingzhe; Yang, Zhenbiao; Shi, Junping, Spatiotemporal dynamics of a reaction-diffusion model of pollen tube tip growth. J. Math. Biol. 79 (2019), 1319--1355.
  13. Jin, Yu; Peng, Rui; Shi, Junping, Population dynamics in river networks. Journal of Nonlinear Science. 29 (2019), 2501--2545.

 

2018

  1. An, Yulian; Chern, Jann-Long; Shi, Junping, Uniqueness of positive solution to a coupled cooperative variational elliptic system on an interval. Trans. Amer. Math. Soc. 370 (2018), no. 7, 5209--5243.
  2. Ni, Wenjie; Shi, Junping; Wang, Mingxin, Global stability and pattern formation in a nonlocal diffusive Lotka-Volterra competition model. J. Differential Equations. 264 (2018), no. 11, 6891--6932.
  3. Zhang, Jimin; Shi, Junping; Chang, Xiaoyuan, A mathematical model of algae growth in a pelagic-benthic coupled shallow aquatic ecosystem. J. Math. Biol. 76 (2018), no. 5, 1159--1193.
  4. Chen, Mayee, Shi, Junping, Effect of rotational grazing on plant and animal production. Math. Bios. Engi. (MBE) 15 (2018), no. 2, 393--406.
  5. Liu, Ping; Shi, Junping, Bifurcation of Positive Solutions to Scalar Reaction-Diffusion Equations with Nonlinear Boundary Condition. J. Differential Equations. 264 (2018), no. 1, 425--454.
  6. Li, Yuhua; Li, Fuyi; Shi, Junping, Ground states of nonlinear Schrodinger equation on star metric graphs. J. Math. Anal. Appl. 459 (2018), no. 2, 661--685.
  7. Zuo, Wenjie; Shi, Junping, Traveling wave solutions of a diffusive ratio-dependent Holling-Tanner system with distributed delay. Comm. Pure Appl. Anal. 17 (2018), no. 3, 1179--1200.
  8. Gourley, Stephen A.; Lai, Xiulan; Shi, Jungping; Wang, Wendi; Xiao, Yanyu; Zou, Xingfu, Role of white-tailed deer in geographic spread of the black-legged tick Ixodes scapularis : analysis of a spatially nonlocal model. Math. Bios. Engi. (MBE) 15 (2018), no. 4, 1033--1054.
  9. Wu, Sainan; Shi, Junping; Wang, Jinfeng, Dynamics and Pattern Formation of a Diffusive Predator-Prey Model with Predator-Taxis. Math. Models Meth. Appl. Sci. 28 (2018), no. 1, 2275--2312.
  10. Li, Fuyi; Gao, Chunjuan; Liang, Zhanping; Shi, Junping, Existence and concentration of nontrivial nonnegative ground state solutions to Kirchhoff-type system with Hartree-type nonlinearity. Zeitschrift fuer Angewandte Mathematik und Physik (ZAMP). 69 (2018) 148.
  11. Chang Xiaoyuan;  Shi Junping; Zhang Jimin, Dynamics of a scalar population model with delayed Allee effect. Internat. J. Bifur. Chaos Appl. Sci. Engrg.  28 (2018), no. 12, 1850153, 15 pp.

 

2017

  1. Yan, Xiangping; Shi, Junping, Stability Switches in a Logistic Population Model with Mixed Instantaneous and Delayed Density Dependence. J. Dyn. Diff. Equat. 29 (2017), no. 1, 113--130.
  2. Cui, Renhao; Li, Haomiao; Mei, Linfeng; Shi, Junping, Effect of harvesting quota and protection zone in a reaction-diffusion model arising from fishery management. Disc. Cont. Dyna. Syst. B. 22 (2017), no. 3, 791--807.
  3. Wu, Sainan; Shi, Junping; Wu, Boying, Global existence of solutions to a quasilinear attraction-repulsion chemotaxis model with growth. Comm. Pure Appl. Anal. 16 (2017), no. 3, 1037-1058.
  4. Ding, Deqiong; Shi, Junping; Wang, Yan, Bistability in a model of grassland and forest transition. J. Math. Anal. Appl. 451 (2017), no.2, 1165--1178.
  5. Wang, Xiaoli; Shi, Junping; Zhang, Guohong, Interaction of water and plants: rich dynamics in a simple model. Disc. Cont. Dyna. Syst. B. 22 (2017) no. 7, 2971--3006.
  6. Liang, Zhanping; Li, Fuyi; Shi, Junping, Positive solutions of Kirchhoff type nonlocal elliptic equation: a bifurcation approach. Proc. Roy. Soc. Edinburgh Sect. A. 147 (2017), no. 4, 875--894.
  7. Li, Yuhua; Li, Fuyi; Shi, Junping, Existence and multiplicity of positive solutions to Schrodinger-Poisson type systems with critical nonlocal term. Calc. Variations and Part. Differential Equations. 56 (2017) 134 (page 1--17).
  8. Shi, Qingyan; Shi, Junping; Song, Yongli, Hopf bifurcation in a reaction-diffusion equation with distributed delay and Dirichlet boundary condition. J. Differential Equations. 263 (2017), no. 10, 6537--6575.
  9. Wang, Jun; Shi, Junping, Standing waves for a coupled nonlinear Hartree equations with nonlocal interaction. Calc. Variations and Part. Differential Equations. 56 (2017) 168 (page 1--36).

 

2016

  1. Jiang, Fangfang; Shi, Junping; Wang, Qing-Guo; Sun, Jitao, On the existence and uniqueness of limit cycle for a Lienard system with a discontinuity line. Comm. Pure Appl. Anal. 15 (2016), no. 6, 2509 -- 2526.
  2. Shi, Junping; Shivaji, Ratnasinham, Uniqueness of positive solutions to cooperative Hamiltonian elliptic systems. Electron. J. Differ. Equ. Conf. 23 (2016), pp. 155--173.
  3. Wu, Sainan, Shi, Junping, Wu, Boying, Global existence of solutions to a diffusive predator-prey model with prey-taxis. J. Differential Equations. 260 (2016), no. 7, 5847--5874.
  4. Wang, Jinfeng; Wei, Junjie; Shi, Junping, Global bifurcation analysis and pattern formation in homogeneous diffusive predator–prey systems. J. Differential Equations. 260 (2016), no. 4, 3495--3523.
  5. An, Yulian; Kim, Chan-Gyun; Shi, Junping, Exact multiplicity of positive solutions for a p-Laplacian equation with positive convex nonlinearity.  J. Differential Equations. 260 (2016), no. 3, 2091--2118.
  6. Wang, Jun; Shi, Junping, Standing waves of a weakly coupled Schrodinger system with distinct potential functions. J. Differential Equations. 260 (2016), no. 2, 1830--1864.



2015

  1. Kim, Chan-Gyun; Liang, Zhanping; Shi, Junping, Existence of positive solutions to a Laplace equation with nonlinear boundary condition. Zeitschrift fuer Angewandte Mathematik und Physik (ZAMP) 66 (2015), no. 6, 3061-3083.
  2. Zhao, Leiga; Zhao, Fukun; Shi, Junping, Higher Dimensional Solitary Waves Generated by Second-Harmonic Generation in Quadratic Media. Calc. Variations and Part. Differential Equations. 54 (2015), no. 3, 2657--2691.
  3. Tian, Jianjun Paul; Shi, Junping; Cui, Jingan, A mathematical model for high pathogenicity avian influenza viruses emerging from outbreaks with low pathogenicity avian influenza viruses. Dyna. Cont. Disc. and Impu. Syst. Series B: Applications & Algorithms. 22 (2015), no. 5, 359--379.
  4. Zhou, Jun; Shi, Junping, Pattern formation in a general glycolysis reaction-diffusion system. IMA Journal of Applied Mathematics. 80 (2015), no. 6, 1703--1738.
  5. Wang, Feng-Bin; Shi, Junping; Zou, Xingfu, Dynamics of a host-pathogen system on a bounded spatial domain. Comm. Pure Appl. Anal.14 (2015), no. 6, 2535--2560.
  6. Wang, Chuncheng; Liu, Rongsong; Shi, Junping; Carlos Martinez del Rio, Traveling waves of a mutualistic model of mistletoes and birds. Disc. Cont. Dyna. Syst. A. 35 (2015), no. 4, 1743--1765.
  7. Jiang, Fangfang; Shi, Junping; Sun, Jitao, On the number of limit cycles for discontinuous generalized Lienard polynomial differential systems.  Internat. J. Bifur. Chaos Appl. Sci. Engrg. 25 (2015), no. 10, 1550131 (10 pages).


2014

  1. Li, Fuyi, Li, Yuhua; Shi, Junping, Existence of positive solutions to Schrodinger-Poisson type systems with critical exponent.  Commun. Contemp. Math. 16 (2014), no. 6, 1450036 (28 pages).
  2. Hsu, Sze-Bi; Shi, Junping; Wang, Feng-Bin, Further studies of a reaction-diffusion system for an unstirred chemostat with internal storage. Disc. Cont. Dyna. Syst. B. 19 (2014), no. 10, 3169--3189.
  3. Wang, Jinfeng; Zhang Xin; Shi, Junping; Wang, Yuwen, Properties of limit cycle in a class of general predator-prey systems. Appl. Math. Comput. 242 (2014), no. 1, 397--406.
  4. Liu, Ping; Shi, Junping; Wang, Rui; Wang, Yuwen, Bifurcation Analysis of a Generic Reaction-Diffusion Turing model. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 24 (2014), no. 4, 1450042 (12 pages).
  5. Chen, Shanshan; Shi, Junping; Wei, Junjie, Bifurcation analysis of the Gierer–Meinhardt system with a saturation in the activator production. Appl. Anal. 93 (2014), no. 6, 111--1134.
  6. Zhou, Jun; Kim, Chan-Gyun; Shi, Junping, Positive steady state solutions of a diffusive Leslie-Gower predator-prey model with Holling type II functional response and cross-diffusion. Discrete Contin. Dyn. Syst. 34 (2014), no. 9, 3875–3899.
  7. Wang, Chuncheng; Liu, Rongsong; Shi, Junping; del Rio, Carlos Martinez, Spatiotemporal mutualistic model of mistletoes and birds. J. Math. Biol. 68 (2014), no. 6, 1479--1520.
  8. Zhou, Jun; Shi, Junping, Qualitative analysis of an autocatalytic chemical reaction model with decay. Proc. Roy. Soc. Edinburgh Sect. A 144 (2014), no. 2, 427--446.
  9. Liang, Zhanping; Li, Fuyi; Shi, Junping, Positive solutions to Kirchhoff type equations with nonlinearity having prescribed asymptotic behavior. Annales de l'Institut Henri Poincare / Analyse non lineaire 31 (2014)  no. 1, 155--167.
  10. Li, Fuyi; Li, Yuhua; Shi, Junping, Existence of positive solutions to Kirchhoff type problems with zero mass. J. Math. Anal. Appl. 410 (2014) no. 1, 361--374.
  11. Cui, Renhao; Shi, Junping; Wu, Boying, Strong Allee effect in a diffusive predator-prey system with a protection zone. J. Differential Equations. 256 (2014), no. 1, 108--129.


2013

  1. Liu, Ping; Shi, Junping; Wang, Zhian, Pattern formation of the attraction-repulsion Keller-Segel system. Disc. Cont. Dyna. Syst. B. 18 (2013), No. 10, 2597--2625.
  2. Jin, Jiayin; Shi, Junping; Wei, Junjie; Yi, Fengqi, Bifurcations of Patterned Solutions in Diffusive Lengyel-Epstein System of CIMA Chemical Reaction. Rocky Moun. J. Math. 43 (2013), No. 5, 1637--1674.
  3. Cui, Renhao; Li, Ping; Shi, Junping; Wang, Yuwen, Existence, uniqueness and stability of positive solutions for a class of semilinear elliptic systems. Topol. Methods Nonlinear Anal. 42 (2013), No. 1, 91--104.
  4. Kim, Chan-Gyun; Shi, Junping, Existence and Multiplicity of Positive Solutions to a Quasilinear Elliptic Equation with Strong Allee Effect Growth Rate. Results Math. 64 (2013), No.1-2, 165--173.
  5. Liu, Ping; Shi, Junping; Wang, Yuwen; Feng, Xiuhong, Bifurcation Analysis of Reaction-Diffusion Schnakenberg Model. Jour. Math. Chem. 51 (2013), no. 8, 2001--2019.
  6. Sun, Linan; Shi, Junping; Wang, Yuwen, Existence and Uniqueness of Steady State Solutions of a Nonlocal Diffusive Logistic Equation. Zeitschrift fuer Angewandte Mathematik und Physik (ZAMP), 64 (2013), no. 4, 1267--1278. (Erratum, 64 (2013), no. 4, 1279--1281).
  7. Wang, Jinfeng; Shi, Junping; Wei, Junjie, Nonexistence of periodic orbits for predator-prey system with strong Allee effect in prey populations, Electron. J. Diff. Equ., 2013 (2013), no. 164, 1--14.
  8. Zhou, Jun; Shi, Junping, Uniqueness of the positive solution for a non-cooperative model of nuclear reactors. Appl. Math. Lett. 26 (2013), no. 10, 1005--1007.
  9. Kim, Chan-Gyun; Shi, Junping, Multiple positive solutions with p-Laplacian equation with weak Allee effect growth rate, Diff. Int. Eqs, 26 (2013), 707--720.
  10. Zhou, Jun; Shi, Junping, The existence, bifurcation and stability of positive stationary solutions of a diffusive Leslie-Gower predator-prey model with Holling-type II functional responses. J. Math. Anal. Appl. 405 (2013), no. 2, 618--630.
  11. Junping Shi, Absolute Stability and Conditional Stability in General Delayed Differential Equations. In Advances in Interdisciplinary Mathematical Research, Springer Proceedings in Mathematics & Statistics, Volume 37, 2013, 117--131.
  12. Liu, Ping; Shi, Junping; Wang, Yuwen, A double saddle-node bifurcation theorem. Comm. Pure Appl. Anal. 12 (2013), no. 6, 2923--2933.
  13. Liu, Ping; Shi, Junping; Wang, Yuwen, Bifurcation from a Degenerate Simple Eigenvalue. J. Funct. Anal. 264 (2013), no. 10, 2269--2299.
  14. Li, Xin; Jiang, Weihua; Shi, Junping, Hopf bifurcation and Turing instability in the reaction–diffusion Holling–Tanner predator–prey model. IMA Journal of Applied Mathematics. 78 (2013), no. 2, 287--306.
  15. Chen, Shanshan; Shi, Junping, Global Attractivity of Equilibrium in Gierer-Meinhardt System with Activator Production Saturation and Gene Expression Time Delays. Nonlinear Anal. Real World Appl. 14 (2013), no. 4, 1871--1886.
  16. Chen, Shanshan; Shi, Junping; Wei, Junjie, Time delay induced instabilities and Hopf bifurcations in general reaction-diffusion systems. Journal of Nonlinear Science. 23 (2013), no. 1, 1--38.
  17. Chen, Shanshan; Shi, Junping; Wei, Junjie, The effect of delay on a diffusive predator-prey system with Holling type-II predator functional response. Comm. Pure Appl. Anal. 12 (2013), no. 1, 481--501.


2012

  1. Su, Ying; Wei, Junjie; Shi, Junping, Hopf bifurcation in a diffusive Logistic equation with mixed delayed and instantaneous density dependence. J. Dyn. Diff. Equat. 24 (2012), no. 4, 897--925.
  2. Essman, Michael; Shi, Junping, Bifurcation diagrams of coupled Schrödinger equations. Appl. Math. Comput. 219 (2012), no. 8, 3646--3654.
  3. Chen, Shanshan; Shi, Junping, Stability and Hopf bifurcation in a diffusive logistic population model with nonlocal delay effect. J. Differential Equations 253 (2012), no. 12, 3440--3470.
  4. Kim, Chan-Gyun; Shi, Junping, Global continuum and multiple positive solutions to a p-Laplacian boundary-value problem. Electron. J. Differential Equations (2012) No. 106, 12 pp.
  5. Li, Yuhua; Li, Fuyi; Shi, Junping, Existence of a positive solution to Kirchhoff type problems without compactness conditions. J. Differential Equations 253 (2012), no. 7, 2285--2294.
  6. Chen, Shanshan; Shi, Junping; Wei, Junjie, Global stability and Hopf bifurcation in a delayed diffusive Leslie-Gower predator-prey system. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 22 (2012), no. 3, 1250061, 11 pp.
  7. Zhao, Yuhua; Wang, Yuwen; Shi, Junping, Steady states and dynamics of an autocatalytic chemical reaction model with decay. J. Differential Equations 253 (2012), no. 2, 533–552.
  8. Chen, Shanshan; Shi, Junping, Global stability in a diffusive Holling-Tanner predator-prey model. Appl. Math. Lett., 25, (2012), no. 3, 614--618.

 

2011

  1. Jordan-Cooley, William C.; Lipcius, Romuald N.; Shaw, Leah B. Shaw; Shen, Jian; Shi, Junping, Bistability in a differential equation model of oyster reef height and sediment accumulation. J. Theor. Biol. 289, (2011), no.1, 1–11.
  2. Chen, Shanshan; Shi, Junping; Wei, Junjie, A Note on Hopf bifurcations in a delayed diffusive Lotka-Volterra predator-prey system. Comput. Math. Appl. 62, (2011), no.5, 2240–2245.
  3. Sun, Ruoyan; Shi, Junping Shi, Global stability of multigroup epidemic model with group mixing and nonlinear incidence rates. Appl. Math. Comput. 218, (2011), no. 2, 280–286.
  4. Wang, Jinfeng; Shi, Junping; Wei, Junjie, Dynamics and pattern formation in a diffusive predator–prey system with strong Allee effect in prey. J. Differential Equations 251, (2011), no. 4-5, 1276–1304.
  5. Cui, Renhao; Shi, Junping; Wang, Yuwen, Existence and Uniqueness of positive solutions for a class of semilinear elliptic systems. Acta Math. Sinica, 27, (2011), 6, 1079–1090.
  6. Li, Chunxiang; Shi, Junping; Sun, Jitao, Stability of impulsive stochastic differential delay systems and its application to impulsive stochastic neural networks. Nonlinear Anal. 74 (2011), no. 10, 3099–3111.
  7. Shi, Junping; Xie, Zhifu; Little, Kristina, Cross-diffusion induced instability and stability in reaction-diffusion systems, J. Appl. Anal. Comput. 1 (2011), no. 1, 95–119.
  8. Chern, Jann-Long; Tang, Yong-Li; Lin, Chang-Shou; Shi, Junping, Existence, uniqueness and stability of positive solutions to sublinear elliptic systems. Proc. Roy. Soc. Edinburgh Sect. A 141 (2011), no. 1, 45–64, 
  9. Wang, Jinfeng; Shi, Junping; Wei, Junjie, Predator-prey system with strong Allee effect in prey. J. Math. Biol. 62 (2011), no. 3, 291–331.

2010

  1. Chen, Zhi-You; Chern, Jann-Long; Shi, Junping; Tang, Yong-Li, On the uniqueness and structure of solutions to a coupled elliptic system. J. Differential Equations 249 (2010), no. 12, 3419–3442.
  2. Liu, Ping; Shi, Junping; Wang, Yuwen, Periodic solutions of a logistic type population model with harvesting. J. Math. Anal. Appl. 369 (2010), no. 2, 730–735.
  3. Shen, Lijuan; Shi, Junping; Sun, Jitao,   Complete controllability of impulsive stochastic integro-differential systems. Automatica, 46, (2010), no. 6, 1068–1073.
  4. Su, Ying; Wei, Junjie; Shi, Junping, Bifurcation analysis in a delayed diffusive Nicholson's blowflies equation. Nonlinear Anal. Real World Appl. 11 (2010), no. 3, 1692–1703.
  5. Wang, Yanan; Wang, Yuwen; Shi, Junping, Exact multiplicity of solutions to a diffusive logistic equation with harvesting. Appl. Math. Comput. 216 (2010), no. 5, 1531–1537.
  6. Shi, Junping; Xie, Zhifu, Classification of four-body central configurations with three equal masses. J. Math. Anal. Appl. 363 (2010), no. 2, 512–524.

2009

  1. Liu, Guan-qi; Wang, Yu-wen; Shi, Jun-ping, Existence and nonexistence of positive solutions of semilinear elliptic equation with inhomogeneous strong Allee effect. Appl. Math. Mech. (English Ed.) 30 (2009), no. 11, 1461–1468.
  2. Shi, Junping, Bifurcation in infinite dimensional spaces and applications in spatiotemporal biological and chemical models. Front. Math. China 4 (2009), no. 3, 407–424.
  3. Jiang, Jifa; Shi, Junping, Bistability dynamics in some structured  ecological models. In Spatial ecology. Edited by Robert Stephen Cantrell; Chris Cosner; Shigui Ruan, Chapman & Hall/CRC (2009).
  4. Peng, Rui; Shi, Junping; Wang, Mingxin, Erratum: Stationary pattern of a ratio-dependent food chain model with diffusion [MR2341760]. SIAM J. Appl. Math. 70 (2009), no. 1, 368.
  5. Lim, Chjan C.; Shi, Junping, The role of higher vorticity moments in a variational formulation of barotropic flows on a rotating sphere. Discrete Contin. Dyn. Syst. Ser. B 11 (2009), no. 3, 717–740. 
  6. Su, Ying; Wei, Junjie; Shi, Junping, Hopf bifurcations in a reaction-diffusion population model with delay effect. J. Differential Equations 247 (2009), no. 4, 1156–1184. 
  7. Peng, Rui; Shi, Junping, Non-existence of non-constant positive steady states of two Holling type-II predator-prey systems: strong interaction case. J. Differential Equations 247 (2009), no. 3, 866–886. 
  8. Hsu, Sze-Bi; Shi, Junping, Relaxation oscillation profile of limit cycle in predator-prey system. Discrete Contin. Dyn. Syst. Ser. B 11 (2009), no. 4, 893–911. 
  9. Shi, Junping; Wang, Xuefeng, On global bifurcation for quasilinear elliptic systems on bounded domains. J. Differential Equations 246 (2009), no. 7, 2788–2812. 
  10. Yi, Fengqi; Wei, Junjie; Shi, Junping, Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system. J. Differential Equations 246 (2009), no. 5, 1944–1977. 
  11. Yi, Fengqi; Wei, Junjie; Shi, Junping, Global asymptotical behavior of the Lengyel-Epstein reaction-diffusion system. Appl. Math. Lett. 22 (2009), no. 1, 52–55.

2008

  1. Duo, Jia; Shi, Junping; Wang, Yuwen, Structure of the solution set for a class of semilinear elliptic equations with asymptotic linear nonlinearity. Nonlinear Anal. 69 (2008), no. 8, 2369–2378.
  2. Liu, Ping; Shi, JunPing; Wang, YuWen, Exact multiplicity of solutions to perturbed logistic type equations on a symmetric domain. Sci. China Ser. A 51 (2008), no. 10, 1753–1762. 
  3. Kurata, Kazuhiro; Shi, Junping, Optimal spatial harvesting strategy and symmetry-breaking. Appl. Math. Optim. 58 (2008), no. 1, 89–110.
  4. Peng, Rui; Shi, Junping; Wang, Mingxin, On stationary patterns of a reaction-diffusion model with autocatalysis and saturation law. Nonlinearity 21 (2008), no. 7, 1471–1488.
  5. Yi, Fengqi; Wei, Junjie; Shi, Junping, Diffusion-driven instability and bifurcation in the Lengyel-Epstein system. Nonlinear Anal. Real World Appl. 9 (2008), no. 3, 1038–1051.
  6. Jiang, Jifa; Shi, Junping, Dynamics of a reaction-diffusion system of autocatalytic chemical reaction. Discrete Contin. Dyn. Syst. 21 (2008), no. 1, 245–258.

2007

  1. Shi, Junping; Wang, Shin-Hwa, Exact multiplicity of boundary blow-up solutions for a bistable problem. Comput. Math. Appl. 54 (2007), no. 9-10, 1285–1292.
  2. Liu, Ping; Shi, Junping; Wang, Yuwen, Imperfect transcritical and pitchfork bifurcations. J. Funct. Anal. 251 (2007), no. 2, 573–600.
  3. Peng, Rui; Shi, Junping; Wang, Mingxin, Stationary pattern of a ratio-dependent food chain model with diffusion. SIAM J. Appl. Math. 67 (2007), no. 5, 1479–1503.
  4. Cui, Renhao; Wang, Yuwen; Shi, Junping, Uniqueness of the positive solution for a class of semilinear elliptic systems. Nonlinear Anal. 67 (2007), no. 6, 1710–1714.
  5. Du, Yihong; Shi, Junping, Allee effect and bistability in a spatially heterogeneous predator-prey model. Trans. Amer. Math. Soc. 359 (2007), no. 9, 4557–4593.
  6. Zhao, Yuhua; Wang, Yuwen; Shi, Junping, Exact multiplicity of solutions and S-shaped bifurcation curve for a class of semilinear elliptic equations. J. Math. Anal. Appl. 331 (2007), no. 1, 263–278.

2006

  1. Shi, Junping; Wang, Xuefeng, Hair-triggered instability of radial steady states, spread and extinction in semilinear heat equations. J. Differential Equations 231 (2006), no. 1, 235–251.
  2. Dancer, E. Norman; Shi, Junping, Uniqueness and nonexistence of positive solutions to semipositone problems. Bull. London Math. Soc. 38 (2006), no. 6, 1033–1044.
  3. Du, Yihong; Shi, Junping, A diffusive predator-prey model with a protection zone. J. Differential Equations 229 (2006), no. 1, 63–91.
  4. Shi, Junping; Shivaji, Ratnasingham, Persistence in reaction diffusion models with weak Allee effect. J. Math. Biol. 52 (2006), no. 6, 807–829.
  5. Lee, Young He; Sherbakov, Lena; Taber, Jackie; Shi, Junping, Bifurcation diagrams of population models with nonlinear diffusion. J. Comput. Appl. Math. 194 (2006), no. 2, 357–367.
  6. Du, Yihong; Shi, Junping, Some recent results on diffusive predator-prey models in spatially heterogeneous environment. Nonlinear dynamics and evolution equations, 95–135, Fields Inst. Commun., 48, Amer. Math. Soc., Providence, RI, 2006.

2005

  1. Shi, Junping; Shivaji, Ratnasingham, Semilinear elliptic equations with generalized cubic nonlinearities. Discrete Contin. Dyn. Syst. 2005, suppl., 798–805.
  2. Korman, Philip; Shi, Junping, On Lane-Emden type systems. Discrete Contin. Dyn. Syst. 2005, suppl., 510–517.
  3. Shi, Junping, A new proof of anti-maximum principle via a bifurcation approach. Results Math. 48 (2005), no. 1-2, 162–167.
  4. Shi, Junping; Yao, Miaoxin, Positive solutions for elliptic equations with singular nonlinearity. Electron. J. Differential Equations 2005, no. 04, 11 pp. (electronic).

2004

  1. Oruganti, Shobha; Shi, Junping; Shivaji, Ratnasingham, Logistic equation wtih the pp-Laplacian and constant yield harvesting. Abstr. Appl. Anal. 2004, no. 9, 723–727.
  2. Shi, Junping, A radially symmetric anti-maximum principle and applications to fishery management models. Electron. J. Differential Equations 2004, No. 27, 13 pp. (electronic).

2003

  1. Shi, Junping; Shivaji, Ratnasingham, Global bifurcations of concave semipositone problems. Evolution equations, 385–398, Lecture Notes in Pure and Appl. Math., 234, Dekker, New York, 2003.
  2. Shi, Junping, Multi-parameter bifurcation and applications. Topological methods, variational methods and their applications (Taiyuan, 2002), 211–221, World Sci. Publ., River Edge, NJ, 2003.
  3. Shi, Junping, Asymptotic Spatial Patterns and  Entire Solutions of Semilinear Elliptic Equations. Proceedings of the Ryukoku Workshop 2003, 2003.
  4. Shi, Junping, Exact multiplicity of positive solutions to a superlinear problem. Proceedings of the Fifth Mississippi State Conference on Differential Equations and Computational Simulations (Mississippi State, MS, 2001), 257–265 (electronic), Electron. J. Differ. Equ. Conf., 10, Southwest Texas State Univ., San Marcos, TX, 2003.

2002

  1. Bates, Peter W.; Shi, Junping, Existence and instability of spike layer solutions to singular perturbation problems. J. Funct. Anal. 196 (2002), no. 2, 211–264.
  2. Oruganti, Shobha; Shi, Junping; Shivaji, Ratnasingham, Diffusive logistic equation with constant yield harvesting. I. Steady states. Trans. Amer. Math. Soc. 354 (2002), no. 9, 3601–3619.
  3. Shi, Junping, Exact multiplicity of solutions to superlinear and sublinear problems. Nonlinear Anal. 50 (2002), no. 5, Ser. A: Theory Methods, 665–687.
  4. Shi, Junping, Semilinear Neumann boundary value problems on a rectangle. Trans. Amer. Math. Soc. 354 (2002), no. 8, 3117–3154.
  5. Shi, Junping, Saddle solutions of the balanced bistable diffusion equation. Comm. Pure Appl. Math. 55 (2002), no. 7, 815–830.

2001

  1. Korman, Philip; Shi, Junping, New exact multiplicity results with an application to a population model. Proc. Roy. Soc. Edinburgh Sect. A 131 (2001), no. 5, 1167–1182.
  2. Shi, Junping; Shivaji, Ratnasingham, Exact multiplicity of solutions for classes of semipositone problems with concave-convex nonlinearity. Discrete Contin. Dynam. Systems 7 (2001), no. 3, 559–571.

2000

  1. Korman, Philip; Shi, Junping, Instability and exact multiplicity of solutions of semilinear equations. Proceedings of the Conference on Nonlinear Differential Equations (Coral Gables, FL, 1999), 311–322 (electronic), Electron. J. Differ. Equ. Conf., 5, Southwest Texas State Univ., San Marcos, TX, 2000.
  2. Shi, Junping, Blow up points of solution curves for a semilinear problem. Topol. Methods Nonlinear Anal. 15 (2000), no. 2, 251–266.

1999

  1. Shi, Junping, Persistence and bifurcation of degenerate solutions. J. Funct. Anal. 169 (1999), no. 2, 494–531.
  2. Ouyang, Tiancheng; Shi, Junping, Exact multiplicity of positive solutions for a class of semilinear problem. II. J. Differential Equations 158 (1999), no. 1, 94–151.
  3. Shi, Junping; Wang, Junping, Morse indices and exact multiplicity of solutions to semilinear elliptic problems. Proc. Amer. Math. Soc. 127 (1999), no. 12, 3685–3695.
  4. Bates, Peter W.; Dancer, E. Norman; Shi, Junping, Multi-spike stationary solutions of the Cahn-Hilliard equation in higher-dimension and instability. Adv. Differential Equations 4 (1999), no. 1, 1–69.

1998

  1. Ouyang, Tiancheng; Shi, Junping, A bifurcation approach to the exact multiplicity of positive solutions of Δu+λf(u)=0 on the unit ball. Dynamical systems and differential equations, Vol. II (Springfield, MO, 1996). Discrete Contin. Dynam. Systems 1998, Added Volume II, 162–173.
  2. Shi, Junping; Yao, Miaoxin, On a singular nonlinear semilinear elliptic problem. Proc. Roy. Soc. Edinburgh Sect. A 128 (1998), no. 6, 1389–1401.
  3. Ouyang, Tiancheng; Shi, Junping, Exact multiplicity of positive solutions for a class of semilinear problems. J. Differential Equations 146 (1998), no. 1, 121–156.
  4. Ouyang, Tiancheng; Shi, Junping, Exact multiplicity of solutions and global bifurcation of Δu+λf(u)=0. Differential equations and applications (Hangzhou, 1996), 356–363, Int. Press, Cambridge, MA, 1998.

 

Articles to appear:

Articles submitted:

·       Tao, Yiwen; Shi, Junping, On a Reaction-Diffusion-Advection Glucose Metabolism Model.

·       Liu, Di; Salmaniw, Yurij; Potts, Jonathan; Shi, Junping; Wang, Hao, Nonlocal spatial memory with density-dependent memory dynamics.

·       Liu, Di; Jiang, Weihua; Shi, Junping, Local and global bifurcation analysis of density-suppressed motility model.