Course Information: (courses taught in previous years)
(Spring 2018) (Spring 2018 schedule)
Math 311-01 (Elementary Analysis) Syllabus
Math 442-01 (Partial Differential Equations) Syllabus course schedule Blackboard
(Fall 2017) (Fall 2017 schedule)
Math 212-02 (Intro Multivariable Calculus) Syllabus course schedule Blackboard
Math 214-04 (Foundation of Mathematics) Syllabus
Student Advising and
National Science Foundation
Research: Persistence, Stability and Control of Populations in
Heterogeneous Networks (2017-2020)
If you are a W&M math major who is interested in doing an
honor thesis or undergraduate research, or a graduate student who
is interested in doing research in applied partial differential
equations, nonlinear analysis, or mathematical biology, you are
welcomed to contact me for possible advising and collaboration. More information Here is the list
of students I am currently advising or
and Mary EXTREEMS-QED program: Computational and Statistical
theory and techniques in the study of large data sets (program
Research: Multiscale Modeling of Oyster Reef Dynamics
Studies of Spatial Bistability in Ecological Systems
and Mary NSF-CSUMS (program
Experience for Undergraduate Students in Computational
Math/Mathematical Biology (trip to China,
published papers available in pdf format)
(list from Mathematical Reviews----MathSciNet, subscription
I am on the editorial board of journals including
on Pure and Applied Analysis (CPAA)
Journal of Industrial and Applied Mathematics
of Mathematical Analysis and Applications (JMAA)
You are welcomed to submit research papers to these journals
through journal websites.
Conferences I co-organized/attended
Symposium on Application of Nonlinear Partial Differential
Equations in Life Science, August 4-7, 2015
Chern Institute of Mathematics, Nankai University, Tianjin,
List of my academic visitors
Selected Recent Work
- 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,
- 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.
- 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.
- 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.
- 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.
- 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.
- Chen, Mayee, Shi, Junping, Effect
of rotational grazing on plant and animal production. Math. Bios. Engi. (MBE) 15 (2018), no. 2, 393--406.
- An, Yulian; Chern, Jann-Long; Shi, Junping, Uniqueness of positive
solution to a coupled cooperative variational elliptic
system on an interval. To appear in Trans.
Amer. Math. Soc.
- Zhang, Jimin; Shi, Junping; Chang, Xiaoyuan, A
mathematical model of algae growth in a pelagic-benthic
coupled shallow aquatic ecosystem. To appear in J.
- Shi, Qingyan; Shi, Junping; Song, Yongli, Hopf
bifurcation in a reaction-diffusion equation with
distributed delay and Dirichlet boundary condition. To
appear in J. Differential Equations.
- Li, Yuhua; Li, Fuyi; Shi, Junping, Existence and
multiplicity of positive solutions to Schrodinger-Poisson type
systems with critical nonlocal term. To appear in Calc. Variations and Part.
My favorite links
W&M Express Links:
of the week for Math 112
of the week for Math 213(212)
of the week for Math 302
in College of William and Mary library and network
Java Applet (old)
(A Java Applet which computes bifurcation diagram of a semilinear
Any comment and question? Please send e-mail to firstname.lastname@example.org
Created by Junping Shi in August 21st,
2000, last updated in August 7, 2017.