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

Published articles (in English)

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. - 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. - 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.

- 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.

- 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,
*Nonl**i**nearity*(2019)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.

- 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.

- 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).

- 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.

- 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
p -Laplacian and constant yield harvesting.*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
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. - 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
Δu+λf(u)=0 .*Differential equations and applications (Hangzhou, 1996),*356–363,*Int. Press, Cambridge, MA,*1998.

Articles to appear:

- Chen, Shanshan; Shi, Junping;
Zhang, Guohong, Spatial
pattern formation in activator-inhibitor models with
nonlocal dispersal. To appear in
*Discrete Contin. Dyn. Syst. Ser. B.* - Ni, Wenjie; Shi, Junping; Wang, Mingxin, Global stability of
spatially nonhomogeneous steady state solution in a
diffusive Holling-Tanner predator-prey model. To appear
in
*Proc. Amer. Math. Soc.*

Articles submitted:

- Wang, Jun; Shi, Junping, Standing waves of coupled Schrodinger equations with quadratic interactions from Raman amplification in a plasma.
- Zaytseva, Sofya; Shaw, Leah; Shi, Junping; Lipcius, Rom; Kirwan, Matthew, Pattern formation in marsh ecosystems modeled through the interaction of marsh vegetation, mussels and sediment.
- Zhang, Guohong; Shi, Junping; Wang, Xiaoli, Vegetation pattern formation due to density-dependent internal competition reaction in an arid flat environment.
- Shi, Qingyan; Shi, Junping; Song, Yongli, Effect of spatial average on the spatiotemporal pattern formation of reaction-diffusion systems.
- Chen Shanshan; Shi Junping; Shuai Zhisheng; Wu Yixiang, Spectral Monotonicity of Perturbed Quasi-positive Matrices with Applications in Population Dynamics
- Zuo, Wenjie; Shi Junping, Existence and stability of steady state solutions of reaction-diffusion equations with nonlocal delay effect.
- Shi, Qingyan; Shi, Junping; Wang, Hao, Spatial Movement with distributed memory.
- Zhang, Jimin; Shi, Junping; Chang, Xiaoyuan, Model of Algal Growth Depending on Nutrients and Inorganic Carbon in a Poorly Mixed Water Column.
- 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.

- Chang ,Xiaoyuan, Shi, Junping, Bistable and oscillatory dynamics of Nicholson's blowflies equation with Allee effect.
- Xu, Fangming; Shaw, Leah; Shi, Junping; Lipcius, Rom, Impacts of density-dependent predation, cannibalism and fishing in a stage-structured population model of the blue crab in Chesapeake Bay.
- Chen Shanshan; Shi Junping; Shuai Zhisheng; Wu
Yixiang, Global
dynamics of a Lotka-Volterra competition patch model.

Published Articles (in Chinese)

Citations

2013

Web
of Science citation: citation (775), h-index: (17) (May
2013) MathSciNet
citation: citation (788), h-index (15) (May 2013)

Google
Scholar citation: citation (1651), h-index: (23) (May
2013) Microsoft
Academic Page citation (770) (May 2013)

2012

Web
of Science citation: citation (572), h-index: (13)
(April 2012) MathSciNet
citation: citation (674), h-index (13) (April 2012)

Google Scholar citation: citation (1250), h-index: (19) (April 2012) Microsoft Academic Page citation (742), h-index (14) (April 2012)