LIST OF PUBLICATIONS

Book

  1. 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)

  1. 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).
  2. 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).
  3. 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).
  4. Wei Feng, “Stability and Asymptotic Behavior in a Reaction-diffusion System”, Mathematical Methods in Applied Sciences, Vol. 17, 155-169(1994).
  5. Xin Lu and Wei Feng, “Dynamics and Numerical Simulations of Food-Chain Populations”, Applied Mathematics and Computations, Vol.65, No.1, 335-344(1994).
  6. Wei Feng, “Permanence Effect in a Three-species Food Chain Model”, Applicable Analysis, Vol.54, 195-209(1994).
  7. 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).
  8. 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).
  9. 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).
  10. Jonathan Rowell and Wei Feng, “Coexistence and Permanence in a Four-species Food Chain Model”, Nonlinear Times and Digest, Vol. 2, 191-212(1995).
  11. 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).
  12. 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).
  13. 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).
  14. Jonathan Rowell and Wei Feng, “Population Dynamics in Complex Predator-prey Interactions", Proceedings of Dynamic Systems and Applications, Vol. 2, 493-500(1996).
  15. 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).
  16. 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).
  17. Wei Feng, “Competitive Exclusion and Persistence in Models of Resource and Sexual Competition”, Journal of Mathematical Biology, Vol. 35, 683-694(1997).
  18. 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).
  19. 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).
  20. 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).
  21. 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).
  22. 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).
  23. Xin Lu and Wei Feng, ''Stability, Permanence, and Periodicity in a Class of Population Models with Time Delays", Advanced Topics in Biomathematics, 1999.
  24. 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).
  25. 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).
  26. 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).
  27. Wei Feng and Jody Hinson, “Stability and Pattern in Two-patch Predator-prey Population Dynamics” Discrete and Continuous Dynamical Systems, Suppl., 268-278 (2005).
  28. Wei Feng, “Dynamics in 3-species Predator-prey Systems with Time Delays”, Discrete and Continuous Dynamical Systems, suppl., 354—363 (2007).
  29. 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).
  30. 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.
  31. 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.
  32. 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

  1. “Coupled System of Reaction-diffusion Equations and Applications", AMS-MAA Annual Meeting, January 6, 1988, Atlanta, Georgia.
  2. “Mathematical Analysis on a Blood Oxygenation Model", 10th Annual Southeastern-Atlantic Regional Conference on Differential Equations, November 17, 1990, Blacksburg, Virginia.
  3. “Mathematical Analysis on a Blood Oxygenation Model", 2nd International Conference on Industrial and Applied Mathematics, July 8, 1991, Washington DC.
  4. “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.
  5. “Co-existence and Permanence in Three-Species Ecological Models", Departmental Seminar of the Biological Sciences, UNCW, January 22, 1993.
  6. “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.
  7. “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.
  8. “Stability, Permanence and Periodicity in Diffusive Population Models", Differential Equations Seminar, Mathematics Department, North Carolina State University, March 5, 1994.
  9. “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.
  10. “Global Asymptotic Stability in Population Models with Diffusion and Delay Effects. AMS-MAA Annual Meeting, January 12, 1994, Cincinnati, Ohio.
  11. “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.
  12. “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.
  13. “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.
  14. “Some Persistence Results in a Diffusive Food-Chain Model" (with Chenhong Lu). AMS-MAA Annual Meeting, January 13, 1996, Orlando, Florida.
  15. “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.
  16. “Reaction-diffusion Models in Ecology", 2nd World Congress of Nonlinear Analysts, July 10, 1996, Athens, Greece.
  17. “Competitive Exclusion and Persistence in Models of Resource and Sexual Competition". Southeastern Section of the American Mathematical Society, March 21-22, 1997, Memphis, Tennessee.
  18. “Population Dynamics in Diffusive Models of Resource and Sexual Competition". The International Conference on Mathematical Biology, May 26-29, 1997, Hangzhou, China.
  19. “Reaction-diffusion Models of Population Dynamics with Time Delays". International Conference on Partial Differential Equations and Numerical Analysis, June 15-19, 1998, Beijing, China.
  20. ''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.
  21. “On Various Diffusive Population Models with Time Delays”, the International Conference on Dynamical Systems and Differential Equations, May 18-21, 2000, Kennesaw, GA.
  22. “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.
  23. “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.
  24. “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.
  25. “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.
  26. “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.
  27. “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.
  28. “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.
  29. “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.
  30. “Traveling Wave solutions and Stability in Reaction-diffusion Systems”, Department of Mathematics, Shanghai Normal University, China, December 20, 2008.
  31. “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

  1. $25,000, National Science Foundation (DMS-1020977), “The AIMS' Eighth International Conference on Dynamical Systems and Differential Equations”, 2010, funded.
  2. $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.
  3. $15,000, National Science Foundation (DMS-0139710), “4th International Conference on Dynamical Systems and Differential Equations”, 2002, funded.
  4. Summer Initiative Research Award, College of Arts and Sciences, UNCW, 1992, 1997.
  5. Faculty Reassignment Award, UNCW, Spring 1996.
  6. Research Reassignment, UNCW, Fall 2007.
  7. Computing time on CRAY-MP by North Carolina Supercomputing Center, May 1995.
  8. Graduate Faculty, UNCW, since Spring 1993.

DIRECTION OF STUDENT RESEARCH PROJECTS