**Publication List of Junping Shi (Google
scholar page)**

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)

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

- 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. - 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

- 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. - Chen, Shanshan; Shi
Junping; Shuai Zhisheng; Wu Yixiang,
Global dynamics of a Lotka-Volterra competition patch
model.
*Nonlinearity*35 (2022) 817--842. - Ping Liu, Junping Shi, A degenerate bifurcation from simple eigenvalue theorem.
*Electronic Research Archive*. 30 (2022) 116--125. - 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. - 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. - 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.* - 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.* *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.*- 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.* - 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

- 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. - 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. - Wang, Jinfeng; Wu, Sainan; Shi, Junping
*,*Pattern formations in diffusive predator-prey systems with predator-taxis and prey-taxis*.*26 (2021), no. 3, 1273--1289.*Discrete Contin. Dyn. Syst. Ser. B.* - 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*.* - 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. - 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. - Shi, Qingyan; Shi, Junping;
Wang, Hao, Spatial Movement with
distributed memory.
*J. Math. Biol.*82 (2021), no. 4, Paper No. 33, 32 pp. - 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. - 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. - 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

- 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. - Zaytseva, Sofya; Shi, Junping; Shaw, Leah, Model of pattern formation in
marsh ecosystems with nonlocal interactions.
*J. Math. Biol.*80 (2020), 655--686. - 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. - 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. - Shi, Junping; Wang, Chuncheng;
Wang, Hao; Yan, Xiangping, Diffusive spatial movement with
memory.
*J. Dynam. Differential Equations*32 (2020), no. 2, 979--1002. - 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. - 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. - 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. - 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. - Wang, Yan; Shi, Junping, Dynamics of a Reaction-Diffusion
Benthic-Drift Model with Strong Allee Effect Growth.
*J. Differential Equations.*269 (2020), 7605--7642. - 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

- 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. - 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. - 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. - 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. - Wang, Xiaoli; Shi, Junping; Zhang, Guohong, Bifurcation
analysis of a model on wild and sterile mosquito interaction.
*Math. Bios. Engi. (MBE)*(2019) - Chen, Shanshan; Shi, Junping, Threshold dynamics of a diffusive
nonlocal phytoplankton model with age structure.
*Nonlinear Anal. Real World Appl.*(2019) 50: 55--66. - 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. - 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. - 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. - 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. - Shi, Junping; Wang, Chuncheng;
Wang, Hao,
*Nonlinearity*32*,*3188--3208. - 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. - Jin, Yu; Peng, Rui; Shi, Junping, Population dynamics in river
networks.
*Journal of Nonlinear Science*. 29 (2019), 2501--2545.

2018

- 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. - 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. - 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. - Chen, Mayee, Shi, Junping, Effect of
rotational grazing on plant and animal production.
*Math. Bios. Engi. (MBE)*15 (2018), no. 2, 393--406. - 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. - 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. - 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. - 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. - 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. - 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. - 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

- 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. - 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*.* - 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. - 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. - 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. - 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. - 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). - 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. - 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

- 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. - Shi, Junping; Shivaji, Ratnasinham,
Uniqueness
of positive solutions to cooperative Hamiltonian elliptic systems.
*Electron. J. Differ. Equ. Conf.*23 (2016), pp. 155--173. - 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. - 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. - 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. - 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

- 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. - 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. - 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. - Zhou, Jun; Shi, Junping, Pattern
formation in a general glycolysis reaction-diffusion system.
*IMA Journal of Applied Mathematics.*80 (2015), no. 6, 1703--1738. - 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. - 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. - 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

- 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). - 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. - 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. - 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). - 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. - 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. - 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. - 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. - 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. - 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. - 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

- 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. - 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. - 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. - 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. - Liu, Ping; Shi, Junping; Wang, Yuwen;
Feng, Xiuhong, Bifurcation
Analysis of Reaction-Diffusion Schnakenberg Model.
*Jour. Math. Chem.*51 (2013), no. 8, 2001--2019. - 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). - 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. - 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. - 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. - 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*.* - 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. - Liu, Ping; Shi, Junping; Wang, Yuwen,
A
double saddle-node bifurcation theorem.
*Comm. Pure Appl. Anal.*12 (2013)*,*no. 6, 2923--2933. - Liu, Ping; Shi, Junping; Wang, Yuwen,
Bifurcation
from a Degenerate Simple Eigenvalue.
*J. Funct. Anal.*264 (2013), no. 10, 2269--2299. - 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. - 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. - 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. - 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

- 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. - Essman, Michael; Shi, Junping, Bifurcation
diagrams of coupled Schrödinger equations.
*Appl. Math. Comput.*219 (2012), no. 8, 3646--3654. - 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. - Kim, Chan-Gyun; Shi, Junping, Global
continuum and multiple positive solutions to a p-Laplacian
boundary-value problem.
*Electron. J. Differential Equations***(2012)** - 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. - 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. - 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. - Chen, Shanshan; Shi, Junping, Global
stability in a diffusive Holling-Tanner predator-prey model.
*Appl. Math. Lett.,*25, (2012), no. 3, 614--618.

2011

- 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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, - 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

- 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. - 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. - Shen, Lijuan; Shi, Junping; Sun, Jitao, Complete
controllability of impulsive stochastic integro-differential
systems.
*Automatica*, 46, (2010), no. 6, 1068–1073. - 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. - 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. - 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

- 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. - Shi, Junping, Bifurcation in
infinite dimensional spaces and applications in spatiotemporal biological
and chemical models.
*Front. Math. China*4 (2009), no. 3, 407–424. - 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). - 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. - 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. - 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. - 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. - 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. - Shi, Junping; Wang, Xuefeng, On
global bifurcation for quasilinear elliptic systems on bounded domains.
*J. Differential Equations*246 (2009), no. 7, 2788–2812. - 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. - 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

- 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. - 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. - Kurata, Kazuhiro; Shi, Junping, Optimal
spatial harvesting strategy and symmetry-breaking.
*Appl. Math. Optim.*58 (2008), no. 1, 89–110. - 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. - 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. - 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

- 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. - Liu, Ping; Shi, Junping; Wang, Yuwen,
Imperfect transcritical and pitchfork bifurcations.
*J. Funct. Anal.*251 (2007), no. 2, 573–600. - 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. - 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. - 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. - 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

- 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. - Dancer, E. Norman; Shi, Junping, Uniqueness
and nonexistence of positive solutions to semipositone
problems.
*Bull. London Math. Soc.*38 (2006), no. 6, 1033–1044. - Du, Yihong; Shi, Junping, A diffusive
predator-prey model with a protection zone.
*J. Differential Equations*229 (2006), no. 1, 63–91. - Shi, Junping; Shivaji, Ratnasingham,
Persistence
in reaction diffusion models with weak Allee effect.
*J. Math. Biol.*52 (2006), no. 6, 807–829. - 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. - 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

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

2004

- Oruganti, Shobha; Shi, Junping; Shivaji, Ratnasingham, Logistic
equation wtih the p
-Laplacian and constant yield harvesting.*p**Abstr**. Appl. Anal.***2004,**no. 9, 723–727. - 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

- 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. - 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. - Shi, Junping, Asymptotic Spatial
Patterns and Entire Solutions of Semilinear
Elliptic Equations.
*Proceedings of the Ryukoku Workshop 2003*, 2003. - 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

- 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. - 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. - Shi, Junping, Exact
multiplicity of solutions to superlinear and
sublinear problems.
*Nonlinear Anal.*50 (2002), no. 5, Ser. A: Theory Methods, 665–687. - Shi, Junping, Semilinear Neumann boundary value problems on a
rectangle.
*Trans. Amer. Math. Soc.*354 (2002), no. 8, 3117–3154. - Shi, Junping, Saddle solutions of
the balanced bistable diffusion equation.
*Comm. Pure Appl. Math.*55 (2002), no. 7, 815–830.

2001

- 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. - 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

- 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. - Shi, Junping, Blow up points of
solution curves for a semilinear problem.
*Topol. Methods Nonlinear Anal.*15 (2000), no. 2, 251–266.

1999

- Shi, Junping, Persistence and
bifurcation of degenerate solutions.
*J. Funct. Anal.*169 (1999), no. 2, 494–531. - 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. - 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. - 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

- Ouyang, Tiancheng; Shi,
Junping, A bifurcation approach to the exact
multiplicity of positive solutions of
Δ *u*+*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. - Shi, Junping; Yao, Miaoxin, On a
singular nonlinear semilinear elliptic problem.
*Proc. Roy. Soc. Edinburgh Sect. A*128 (1998), no. 6, 1389–1401. - Ouyang, Tiancheng; Shi,
Junping, Exact
multiplicity of positive solutions for a class of semilinear
problems.
*J. Differential Equations*146 (1998), no. 1, 121–156. - Ouyang, Tiancheng; Shi,
Junping, Exact multiplicity of solutions and global
bifurcation of
Δ *u*+*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.