Dynamical systems and differential equations, Edited by
Wei Feng, Shouchuan Hu and Xin Lu. Proceedings of the AIMS' 4th International
Conference held at the University of North Carolina at Wilmington, Wilmington,
NC, May 24--27, 2002. American Institute of Mathematical Sciences, Springfield,
MO (2003).
Research Articles in Refereed Media (student names in boldface)
Wei Feng, “Coupled System of Reaction-diffusion Equations and Applications
in Carrier Facilitated Diffusions”, Nonlinear Analysis, Theory, Method,
and Application, Volume.17, 285-311(1991).
Wei Feng, “Coexistence, Stability, and Limiting Behavior in a One-Predator-Two-Prey
Model”, Journal of Mathematical Analysis and Applications, Vol.179,
No.2, 592-609(1993).
Wei Feng, “Global Existence and Boundedness of the Solution for a
Blood Oxygenation Model”, Journal of Mathematical Analysis and Applications,
Vol.181, No.2, 462-472(1994).
Wei Feng, “Stability and Asymptotic Behavior in a Reaction-diffusion
System”, Mathematical Methods in Applied Sciences, Vol. 17, 155-169(1994).
Xin Lu and Wei Feng, “Dynamics and Numerical Simulations of Food-Chain
Populations”, Applied Mathematics and Computations, Vol.65, No.1, 335-344(1994).
Wei Feng, “Permanence Effect in a Three-species Food Chain Model”,
Applicable Analysis, Vol.54, 195-209(1994).
Weihua Ruan and Wei Feng, “On the Fixed Point Index and Multiple
Steady-state Solutions of Reaction-diffusion Systems”, Differential
and Integral Equations, Vol.8, No.2, 371-392(1995).
Wei Feng and Xin Lu, “Some Coexistence and Extinction Results for
a 3-species Ecological System”, Differential and Integral Equations,
Vol.8, No.3, 617-626(1995).
Joseph Yan, Wei Feng and Xin Lu “Stability and Pattern of Bifurcation
Steady States in Systems with Double Involution”, Journal of Mathematical
Analysis and Applications, Vol.190, No.2, 101-128(1995).
Jonathan Rowell and Wei Feng, “Coexistence and Permanence in a Four-species
Food Chain Model”, Nonlinear Times and Digest, Vol. 2, 191-212(1995).
Wei Feng and Xin Lu, “Asymptotic Periodicity in Diffusive Logistic
Equations with Discrete Delays”, Nonlinear Analysis, Theory, Methods
& Applications, Vol. 26, No. 2, 171-178(1996).
Xin Lu and Wei Feng, “Periodic Solution and Oscillation in a Competition
Model with Diffusion and Distributed Delay Effects”, Nonlinear Analysis,
Theory, Methods & Applications, Vol. 27, No.6, 599-609(1996).
Wei Feng and Xin Lu, “Asymptotic Behavior in a Class of Periodic-delay
Differential Equations”, Proceedings of Dynamic Systems and Applications,
Vol.2, 167-174(1996).
Jonathan Rowell and Wei Feng, “Population Dynamics in Complex Predator-prey
Interactions", Proceedings of Dynamic Systems and Applications, Vol.
2, 493-500(1996).
Wei Feng and Weihua Ruan, “Coexistence, Permanence, and stability
in a three species competition model”, Acta. Math. Appl. Sinica (English
Ser.) Vol. 12, No. 4, 443-446(1996).
Wei Feng and Xin Lu, “Harmless Delays for Permanence in a Class of
Population Models with Diffusion Effects”, Journal of Mathematical Analysis
and Applications, Vol.206, No.2, 547-566(1997).
Wei Feng, “Competitive Exclusion and Persistence in Models of Resource
and Sexual Competition”, Journal of Mathematical Biology, Vol. 35, 683-694(1997).
Chenhong Lu, Wei Feng and Xin Lu, “Long-term Survival in a 3-species
Ecological System” Dynamics of Continuous, Discrete and Impulsive Systems,
Vol. 3 No.2, 199-213(1997).
Wei Feng, Xin Lu and Wei Liu, “Comparison and Numerical Simulations
in Diffusive Models of Resource and Sexual Competition”, Nonlinear Analysis,
Theory, Methods & Applications, Vol.30, No.5, 2765-2774(1997).
Wei Feng and Xin Lu, “Global Stability in a Class of Reaction-diffusion
Systems with Time-varying Delays”, Discrete and Continuous Dynamical
Systems, 253-261(1998).
Wei Feng, Xin Lu and Qunjie Cheng, ''Asymptotic Stability in a Predator-prey
System with Diffusion and Distributed Time Delays", Journal of Shanghai
Jiaotong University, Vol. E-3, 108-115(1998).
Wei Feng and Fan Wang, “Asymptotic periodicity and permanence in
a competition-diffusion system with discrete delays”, Differential equations
and computational simulations II, Applied Mathematics and Computations 89,
99—110 (1998).
Xin Lu and Wei Feng, ''Stability, Permanence, and Periodicity in a Class
of Population Models with Time Delays", Advanced Topics in Biomathematics,
1999.
Wei Feng and Xin Lu, ''On Diffusive population Models with Toxicants and
Time Delays", Journal of Mathematical Analysis and Applications, Vol.
233, 373-386 (1999).
Wei Feng, Xin Lu and Richard J. Donavan, “Population Dynamics in
a Model for Territory Acquisition” Discrete and Continuous Dynamical
Systems, Suppl., 156-165 (2001).
Wei Feng and Xin Lu, “Global Periodicity in a Class of Reaction-diffusion
Systems with Time Delays”, Discrete and Continuous Dynamical Systems-Series
B, 69-78 (2003).
Wei Feng and Jody Hinson, “Stability and Pattern in Two-patch Predator-prey
Population Dynamics” Discrete and Continuous Dynamical Systems, Suppl.,
268-278 (2005).
Wei Feng, “Dynamics in 3-species Predator-prey Systems with Time
Delays”, Discrete and Continuous Dynamical Systems, suppl., 354—363
(2007).
Xiaojie Hou, Wei Feng and Xin Lu, “A Mathematical Analysis for a
Model Arising from Public Goods Games” (Journal of Nonlinear Analysis
– B: Real World Applications, Volume 10, Issue 4, 2207-2224 (2009).
Wei Feng, C.V. Pao and Xin Lu, “Global Attractors of Reaction-diffusion
Systems Modeling Food Chain Populations with Delays”, Discrete and Continuous
Dynamical Systems-Series S, accepted for publication in 2010, to appear.
Xiaojie Hou and Wei Feng, “Traveling Waves and Their Stability for
a Public Goods game Model”, Communications on Pure and Applied Analysis,
accepted for publication in March 2010, to appear.
Anthony Leung, Xiaojie Hou and Wei Feng, “Traveling Wave Solutions
for Lotka-Volterra System Re-visited”, Submitted in January 2010, under
review.
CONFERENCE PRESENTATIONS AND INVITED TALKS
“Coupled System of Reaction-diffusion Equations and Applications",
AMS-MAA Annual Meeting, January 6, 1988, Atlanta, Georgia.
“Mathematical Analysis on a Blood Oxygenation Model", 10th Annual
Southeastern-Atlantic Regional Conference on Differential Equations, November
17, 1990, Blacksburg, Virginia.
“Mathematical Analysis on a Blood Oxygenation Model", 2nd International
Conference on Industrial and Applied Mathematics, July 8, 1991, Washington
DC.
“Coexistence, Stability, and Limiting Behavior in a One-Predator-Two-Prey
Model", Midwest and Southeastern Atlantic Second Joint Conference on
Differential Equations, November 13, 1992, University of Kentucky.
“Co-existence and Permanence in Three-Species Ecological Models",
Departmental Seminar of the Biological Sciences, UNCW, January 22, 1993.
“Dynamics and Numerical Simulations in a Three-species Food-chain
Model" (with Xin Lu), Mississippi State Annual Conference on Differential
Equations and Computational Simulations, March 19, 1993, Mississippi State
University.
“Harmless Delays for Permanence in a Class of Population Models with
Diffusion and Delay Effects" (with Xin Lu). The 13th Southeastern-Atlantic
Regional Conference of Differential Equations, October 15, 1993.
“Stability, Permanence and Periodicity in Diffusive Population Models",
Differential Equations Seminar, Mathematics Department, North Carolina State
University, March 5, 1994.
“Periodic Solution and Oscillation in a Competition Model with Diffusion
and Delay Effects" (with Xin Lu), Annual Meeting of Southeastern-Atlantic
Section of SIAM, March 25, 1994, Wake Forest University.
“Global Asymptotic Stability in Population Models with Diffusion and
Delay Effects. AMS-MAA Annual Meeting, January 12, 1994, Cincinnati, Ohio.
“Asymptotic Periodicity and Permanence in a Competition-diffusion
System with Discrete Delays" (with Fan Wang). The 2nd Mississippi State
Conference on Differential Equations and Computational Simulations, April
7, 1995, Mississippi State University.
“Coexistence and Permanence in a Four-species Food-chain Model"
(with Jonathan Rowell). The 2nd International Conference on Dynamic Systems
and Applications, May 24 1995, Atlanta, Georgia.
“Harmless Delays for Stability, Periodicity, and Permanence in a Class
of Population Models “(with Xin Lu). The 2nd International Conference
on Dynamic Systems and Applications, May 25, 1995, Atlanta, Georgia.
“Some Persistence Results in a Diffusive Food-Chain Model" (with
Chenhong Lu). AMS-MAA Annual Meeting, January 13, 1996, Orlando, Florida.
“Mathematical Analysis and Numerical Simulation for Population Models
with Time Delays"(with Xin Lu). International Conference on Dynamical
Systems and Differential Equations, May 29, 1996, Springfield, Missouri.
“Reaction-diffusion Models in Ecology", 2nd World Congress of
Nonlinear Analysts, July 10, 1996, Athens, Greece.
“Competitive Exclusion and Persistence in Models of Resource and Sexual
Competition". Southeastern Section of the American Mathematical Society,
March 21-22, 1997, Memphis, Tennessee.
“Population Dynamics in Diffusive Models of Resource and Sexual Competition".
The International Conference on Mathematical Biology, May 26-29, 1997, Hangzhou,
China.
“Reaction-diffusion Models of Population Dynamics with Time Delays".
International Conference on Partial Differential Equations and Numerical Analysis,
June 15-19, 1998, Beijing, China.
''On Diffusive population Models with Toxicants and Time Delays".
The 20th Annual Meeting of the Canadian Applied and Industrial Mathematics
Society (CAIMS), June 11-13, 1999, Quebec City, Canada.
“On Various Diffusive Population Models with Time Delays”, the
International Conference on Dynamical Systems and Differential Equations,
May 18-21, 2000, Kennesaw, GA.
“Food-Limited Population Models with Diffusion and delays”,
International Conference on Nonlinear Evolutionary Partial Differential Equations,
June 10-15, 2001, the City of Yellow Mountain, China.
“Dynamics of a Three-Species Food-chain model with Time Delays”,
International Conference on Nonlinear Evolutionary Partial Differential Equations,
June 10-15, 2001, the City of Yellow Mountain, China.
“On Reaction-diffusion Systems with Time Delays”, at Special
Session of Delay Differential Equations, Fourth International Conference on
Dynamical Systems and Differential Equations, May 24-27, 2002, Wilmington,
NC.
“Stability, Periodicity, and Numerical Solutions in Reaction-diffusion
Systems with time delays”, at Special Session of Delay Differential
Equations, the Joint Mathematics Meeting, January 7-10, 2004, Phoenix, AZ.
“Dynamics of a 3-species Ecological System with Delay Effects”,
AIMS’ Sixth International Conference on Dynamical Systems, Differential
Equations and Applications at University of Poitiers, France, June 25-28,
2006.
“Mathematical Analysis for a Model Arising from Public Goods Games”,
at the Special Session on Qualitative Analysis and Computations for Nonlinear
Differential Equations and Non-Convex Dynamical Systems, AIMS’ Seventh
International Conference on Dynamical Systems, Differential Equations and
Applications at University of Texas at Arlington, May 18-22, 2008.
“Global Attractors of Reaction-diffusion Systems Modeling Food Chain
Populations with Delays”, at the Special Session on Reaction Diffusion,
Wave Propagation, and Mathematical Biology, the Fifth World Congress of Nonlinear
Analysts (WCNA-2008), Orlando, Florida, July 2-9, 2008.
“Traveling Waves and Stability in a Model for Public Goods Games”,
at the Special Session on Dynamical Systems Arising in Ecology and Biology,
AMS Joint International Meeting, Shanghai, P. R. China, December 17-21, 2008.
“Traveling Wave solutions and Stability in Reaction-diffusion Systems”,
Department of Mathematics, Shanghai Normal University, China, December 20,
2008.
“Traveling Wave Solutions, Asymptotic Rates, and Stability in Population
Models”, Special Session on Nonlinear Systems of Mixed Type and Applications,
the 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications,
Dresden University of Technology
Dresden , Germany, May 25 - 28, 2010 .
GRANTS AND FELLOWSHIPS
$25,000, National Science Foundation (DMS-1020977), “The AIMS' Eighth
International Conference on Dynamical Systems and Differential Equations”,
2010, funded.
$4500, Council of Graduate Schools, “Developing an Applied Statistics
Track and Enhancing the Master of Science in Mathematics (a professional science
master’s degree program), 2004.
$15,000, National Science Foundation (DMS-0139710), “4th International
Conference on Dynamical Systems and Differential Equations”, 2002, funded.
Summer Initiative Research Award, College of Arts and Sciences, UNCW, 1992,
1997.
Faculty Reassignment Award, UNCW, Spring 1996.
Research Reassignment, UNCW, Fall 2007.
Computing time on CRAY-MP by North Carolina Supercomputing Center, May
1995.
Graduate Faculty, UNCW, since Spring 1993.
DIRECTION OF STUDENT RESEARCH PROJECTS
Advisor of 13 Master's Thesis, one Honors thesis, one Master’s project,
5 summer research projects, and 4 senior seminar projects in Mathematics at
UNCW, numerous DIS works and thesis committee memberships.
Two of the students won the Graduate Student Achievement Award from UNCW.
5 student research projects funded by Summer Research Grant, UNCW Graduate
School.
Advisor of an undergraduate Honors Work in Mathematics in 1995. This work
won the UNCW Undergraduate Research Award and a Special Award at the Student
Paper Competition by the Society of Industrial and Applied Mathematics.
10 joint publications on refereed media, resulting from directed graduate
and undergraduate research projects.