Three Species Predator-Prey Singularly Perturbed Robin Problems for Reaction Diffusion System
(Nanjing University of Finance and Economics,Nanjing 210003,China)
Online:2005-07-15
Published:2012-09-22
About author:WANG Geng(1960-),male,was born in Tongcheng City,Anhui Province,professor of Nanjing University of Finance and Economics;research area is nonlinear differential equation.
Supported by:
The National Natural Science Foundation of China(70471071);the Ministry of Education of China(1283B01071)
[1] DE JAGER E M,JIANG Fu-ru.The Theory of Singular Perturbation [M].Amsterdam:North-Holland Publishing Co.,1996.[2] O’MALLEY JR R E.On the Asymptotic Solution of the Singularly Perturbed Boundary Value Problems Posed by Bohé [J].J. Math. Anal. Appl.,2000,242:18-38.[3] BUTUZOV V F,NEFEDOV N N,SCHNEIDER K R.Singularly Perturbed Elliptic Problems in the Case of Exchange of Stabilities [J].J. Differential Equations,2001,169:373-395.[4] KELLEY W G.A Singular Perturbation Problem of Carrier and Pearson [J].J. Math. Anal. Appl.,2001,255:678-697.[5] WANG Geng.A Class of Singularly Perturbed Robin Boundary Value Problems for Quasilinear Elliptic Equation [J].Journal of Lanzhou University,2003,38(3):5-9.[6] CHEN Lan-sun,PENG Qin-liang.Persistence in a Three Species Lotka-Volterra Periodic Predator-Prey System [J].System Science and Mathematical Science,1994,7(4):337-343.[7] MIMURA M,NISHIURA Y,YAMAGUTI M.Some Diffusive Prey and Predator Systems,Their Bifurcation Problems [M].Ann. New York:Acad. Sci.,1979,316:490-510.[8] BUTUZOV V F,SMUROV I.Initial Boundary Value Problem for a Singularly Perturbed Parabolic Equation in Case of Exchange of Stability [J].J. Math. Anal. Appl.,1999,234:183-192.