LIST OF PUBLICATIONS Edited Books (Conference Proceedings):

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1 LIST OF PUBLICATIONS Edited Books (Conference Proceedings): Dynamical Systems and Differential Equations, Edited by David Costa, Wei Feng, Zhaosheng Feng, Xin Lu, Xingping Sun, Masaharu Taniguchi, Antonio Vitolo; ISBN-10: Proceedings of the AIMS' 9th International Conference held at Orlando Florida, July 1-5, American Institute of Mathematical Sciences, Springfield, MO (2013). Dynamical Systems, Differential Equations and Applications Volume I, Edited by Wei Feng, Zhaosheng Feng, Maurizio Grasselli, Xin Lu, Stefan Siegmund and Jürgen Voigt; ISBN-10: Proceedings of the AIMS' 8th International Conference held at the Dresden University of Technology, Dresden, Germany, May 25-28, 2010.American Institute of Mathematical Sciences, Springfield, MO(2011). Dynamical Systems, Differential Equations and Applications Volume II, Edited by Wei Feng, Zhaosheng Feng, Maurizio Grasselli, Xin Lu, Stefan Siegmund and Jürgen Voigt; ISBN-10: Proceedings of the AIMS' 8th International Conference held at the Dresden University of Technology, Dresden, Germany, May 25-28, 2010.American Institute of Mathematical Sciences, Springfield, MO(2011). 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 , American Institute of Mathematical Sciences, Springfield, MO(2003). Research Articles in Refereed Media (UNCW student names in boldface): 1. Wei Feng and Xin Lu, Traveling Waves and Competitive Exclusion in Models of Resource Competition and Mating Interference, Journal of Mathematical Analysis and Applications, Accepted in November Yaw Chang, Wei Feng, Michael Freeze and Xin Lu, Permanence and Coexistence in a Diffusive Complex Ratio-dependent Food Chain, International Journal of Dynamics and Control, accepted September 2014, online first October Wei Feng, Nicole Rocco, Michael Freezeand Xin Lu, Mathematical Analysis on an Extended Rosenzwig-MaCarthur Model of Tri-trophic Food Chain, Discrete and Continuous Dynamical Systems Series S, Volume 7, No. 6, (2014). 4. Wei Feng, Michael T. Cowen and Xin Lu, Coexistence and Asymptotic Stability in Stage-structured Predator-prey Models, Mathematical Biosciences and Engineering, Volume 11, Issue 4, (2014). 5. Michael Freeze, Yaw Chang and Wei Feng, Analysis of Dynamics in a Complex Food Chain with Ratio Dependent Functional Response, Journal of Applied Analysis and Computation, Volume 4, No. 2, (2014).

2 6. Wei Feng, Brevin Rock and Jody Hinson, On a New Model of Two-Patch Predator- Prey System with Migration of Both Species, Journal of Applied Analysis and computation, Volume 1, No. 2, (2011). 7. Wei Feng, C.V. Pao and Xin Lu, Global Attractors of Reaction-diffusion Systems Modeling Food Chain Populations with Delays, Communications on Pure and Applied Analysis, Vol. 10, No. 5, (2011). 8. Anthony Leung, Xiaojie Hou and Wei Feng, Traveling Wave Solutions for Lotka- Volterra System Re-visited, Discrete and Continuous Dynamical Systems-Series B, Vol. 15, No. 1, (2011). 9. Xiaojie Hou and Wei Feng, Traveling Waves and Their Stability for a Public Goods game Model, Communications on Pure and Applied Analysis, Volume 10, No. 1, (2011). 10. 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, (2009). 11. Wei Feng, Dynamics in 3-species Predator-prey Systems with Time Delays, Discrete and Continuous Dynamical Systems, suppl., (2007). 12. Wei Feng and Jody Hinson, Stability and Pattern in Two-patch Predator-prey Population Dynamics,Discrete and Continuous Dynamical Systems, Suppl., (2005). 13. Wei Feng and Xin Lu, Global Periodicity in a Class of Reaction-diffusion Systems with Time Delays, Discrete and Continuous Dynamical Systems-Series B, Vol.3, No.1, (2003). 14. Wei Feng, Xin Lu and Richard J. Donavan, Population Dynamics in a Model for Territory Acquisition,Discrete and Continuous Dynamical Systems, Suppl., (2001). 15. Wei Feng and Xin Lu, ''On Diffusive population Models with Toxicants and Time Delays", Journal of Mathematical Analysis and Applications, Vol. 233, (1999). 16. Xin Lu and Wei Feng, ''Stability, Permanence, and Periodicity in a Class of Population Models with Time Delays", Advanced Topics in Biomathematics (Hangzhou, 1997), , World Sci. Publ., River Edge, NJ, Wei Feng and Fan Wang, Asymptotic periodicity and permanence in a competitiondiffusion system with discrete delays, Differential equations and computational simulations II, Applied Mathematics and Computations 89, (1998). 18. 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, (1998).

3 19. Wei Feng and Xin Lu, Global Stability in a Class of Reaction-diffusion Systems with Time-varying Delays, Discrete and Continuous Dynamical Systems, Suppl., (1998). 20. 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, (1997). 21. 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, (1997). 22. Wei Feng, Competitive Exclusion and Persistence in Models of Resource and Sexual Competition, Journal of Mathematical Biology, Vol. 35, (1997). 23. 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, (1997). 24. Wei Feng and WeihuaRuan, Coexistence, Permanence, and stability in a three species competition model, Acta. Math. Appl. Sinica (English Ser.) Vol. 12, No. 4, (1996). 25. Jonathan Rowell and Wei Feng, Population Dynamics in Complex Predator-prey Interactions", Proceedings of Dynamic Systems and Applications, Vol. 2, (1996). 26. Wei Feng and Xin Lu, Asymptotic Behavior in a Class of Periodic-delay Differential Equations, Proceedings of Dynamic Systems and Applications, Vol.2, (1996). 27. 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, (1996). 28. Wei Feng and Xin Lu, Asymptotic Periodicity in Diffusive Logistic Equations with Discrete Delays, Nonlinear Analysis, Theory, Methods & Applications, Vol. 26, No. 2, (1996). 29. Jonathan Rowell and Wei Feng, Coexistence and Permanence in a Four-species Food Chain Model, Nonlinear Times and Digest, Vol. 2, (1995). 30. 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, (1995). 31. Wei Feng and Xin Lu, Some Coexistence and Extinction Results for a 3-species Ecological System, Differential and Integral Equations, Vol.8, No.3, (1995). 32. WeihuaRuan 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, (1995).

4 33. Wei Feng, Permanence Effect in a Three-species Food Chain Model, Applicable Analysis, Vol.54, (1994). 34. Xin Lu and Wei Feng, Dynamics and Numerical Simulations of Food-Chain Populations, Applied Mathematics and Computations, Vol.65, No.1, (1994). 35. Wei Feng, Stability and Asymptotic Behavior in a Reaction-diffusion System, Mathematical Methods in Applied Sciences, Vol. 17, (1994). 36. Wei Feng, Global Existence and Boundedness of the Solution for a Blood Oxygenation Model, Journal of Mathematical Analysis and Applications, Vol.181, No.2, (1994). 37. Wei Feng, Coexistence, Stability, and Limiting Behavior in a One-Predator-Two-Prey Model, Journal of Mathematical Analysis and Applications, Vol.179, No.2, (1993). 38. Wei Feng, Coupled System of Reaction-diffusion Equations and Applications in Carrier Facilitated Diffusions, Nonlinear Analysis, Theory, Method, and Application, Volume.17, (1991). CONFERENCE PRESENTATIONS AND INVITED TALKS (UNCW student names in boldface): 1. Competitive Exclusion in Time-delayed Models of Resource Competition and Mating Interference, Special Session on Movement in Mathematical Biology, 1105 th Meeting of American Mathematical Society, UNC Greensboro, November 8-9, Traveling Waves and Competitive Exclusion in Models of Resource Competition and Mating Interference, Special Session on Qualitative Theory of Differential Equations and Applications, the 10th AIMS International Conference on Dynamical Systems and Differential Equations, Madrid, Spain, July 7-11, Traveling Wave Solutions in Lotka-Volterra Competition Models with Non-local Delays, Special Session on Traveling Waves in Population Biology, the Fourth Conference on Computational and Mathematical Population Dynamics (CMPD4), held in North University of China, Taiyuan, China, May 29 June 2, Hierarchal Inductive Process Modeling and Analysis (with Youri Nelson and Stuart Borrett), Contributed Session on Modelling and Math Biology, the 9th AIMS International Conference on Dynamical Systems and Differential Equations, held in Orlando, Florida, July 1-5, The Stability Analysis and Impact of Predator Mortality Rate on Age-structured Models (with Michael Cowen and Shana Johnson), Contributed Session on Modelling and Math Biology, the 9th AIMS International Conference on Dynamical Systems and Differential Equations, held in Orlando, Florida, July 1-5, 2012.

5 6. On Reaction-diffusion Models of Resource and Sexual Competitions, invited speech (40 minutes) presented at the 8th East China Partial Differential Equations Conference &The 2 nd International Workshop on Reaction-Diffusion Models and Mathematical Biology, Xi an, China, July 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, Traveling Wave solutions and Stability in Reaction-diffusion Systems, Department of Mathematics, Shanghai Normal University, China, December 20, 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, 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, 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, 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, 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. 14. 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. 15. Dynamics of a Three-Species Food-chain model with Time Delays (with Wenjie Wang), International Conference on Nonlinear Evolutionary Partial Differential Equations, June 10-15, 2001, the City of Yellow Mountain, China. 16. Food-Limited Population Models with Diffusion and delays (with Xin Lu), International Conference on Nonlinear Evolutionary Partial Differential Equations, June 10-15, 2001, the City of Yellow Mountain, China.

6 17. On Various Diffusive Population Models with Time Delays, the International Conference on Dynamical Systems and Differential Equations, May 18-21, 2000, Kennesaw, GA. 18. ''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. 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. Population Dynamics in Diffusive Models of Resource and Sexual Competition (with Wei Liu and Xin Lu),The International Conference on Mathematical Biology, May 26-29, 1997, Hangzhou, China. 21. Competitive Exclusion and Persistence in Models of Resource and Sexual Competition, Southeastern Section of the American Mathematical Society, March 21-22, 1997, Memphis, Tennessee. 22. Reaction-diffusion Models in Ecology, 2nd World Congress of Nonlinear Analysts, July 10, 1996, Athens, Greece. 23. Some Persistence Results in a Diffusive Food-Chain Model (with Chenhong Lu). AMS- MAA Annual Meeting, January 13, 1996, Orlando, Florida. 24. 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. 25. 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. 26. Coexistence and Permanence in a Four-species Food-chain Model (with Jonathan Rowell). The 2nd International Conference on Dynamic Systems and Applications, May , Atlanta, Georgia. 27. 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. 28. Global Asymptotic Stability in Population Models with Diffusion and Delay Effects, AMS-MAA Annual Meeting, January 12, 1994, Cincinnati, Ohio. 29. 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.

7 30. Stability, Permanence and Periodicity in Diffusive Population Models, Differential Equations Seminar, Mathematics Department, North Carolina State University, March 5, 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, 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. 33. Co-existence and Permanence in Three-Species Ecological Models, Departmental Seminar of the Biological Sciences, UNCW, January 22, 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. 35. Mathematical Analysis on a Blood Oxygenation Model, 2nd International Conference on Industrial and Applied Mathematics, July 8, 1991, Washington DC. 36. Mathematical Analysis on a Blood Oxygenation Model, 10th Annual Southeastern- Atlantic Regional Conference on Differential Equations, November 17, 1990, Blacksburg, Virginia. 37. Coupled System of Reaction-diffusion Equations and Applications, AMS-MAA Annual Meeting, January 6, 1988, Atlanta, Georgia. GRANTS AND FELLOWSHIPS $30,000, National Science Foundation (DMS ), Tenth AIMS International Conference on Dynamical Systems and Differential Equations, Yaw Chang (PI), Wei Feng (Co-PI), Michael Freeze (Co-PI), Xin Lu (Co-PI), funded in February $25,000, National Science Foundation (DMS ), Ninth AIMS International Conference on Dynamical Systems and Differential Equations,Yaw Chang (PI), Wei Feng (Co-PI), Zhaosheng Feng (Co-PI), Xin Lu (Co-PI), submitted in October 2011, funded in February $25,000, National Science Foundation (DMS ), The AIMS' Eighth International Conference on Dynamical Systems and Differential Equations,Yaw Chang (PI), Wei Feng (Co-PI), Xin Lu (Co-PI), funded in January $15,000, National Science Foundation (DMS ), 4 th International Conference on Dynamical Systems and Differential Equations, Wei Feng (PI), Xin Lu (Co-PI), funded in February 2002.

8 UNCW International Programs Travel Fund, summer $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), Summer Initiative Research Award, College of Arts and Sciences, UNCW, 1992, Faculty Reassignment Award, UNCW, Spring Research Reassignment, UNCW, Fall Computing time on CRAY-MP by North Carolina Supercomputing Center, Graduate Faculty, UNCW, since spring 1993.

Dat Tien Cao. B.S. in Mathematics, University of Science, Vietnam National University of Ho Chi Minh City, Ho Chi Minh City, Vietnam

Dat Tien Cao. B.S. in Mathematics, University of Science, Vietnam National University of Ho Chi Minh City, Ho Chi Minh City, Vietnam Dat Tien Cao Department of Mathematics and Statistics Texas Tech University, Box 41042 Lubbock, TX 79409-1042 Email: dat.cao@ttu.edu http: // www. math. ttu. edu/ ~ dacao/ Education 07.2015 07.2008 06.2006