[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2003.40.5.869

THE EXISTENCE OF PERIODIC SOLUTION OF A TWO-PATCHES PREDATOR-PREY DISPERSION DELAY MODELS WITH FUNCTIONAL RESPONSE

Zhang, Zhengqiu (Department of Applied Mathematics Hunan University)
Wang, Zhicheng (Department of Applied Mathematics Hunan University)

Publication Information

Journal of the Korean Mathematical Society / v.40, no.5, 2003 , pp. 869-881 More about this Journal

Abstract

In this paper, a nonautonomous predator-prey dispersion delay models with functional response is studied. By using the continuation theorem of coincidence degree theory, the existence of a positive periodic solution for above models is established.

Keywords

positive periodic solution; predator-prey dispersion delay model; functional response; the continuation theorem of coincidence degree theory;

Citations & Related Records

Times Cited By Web Of Science : 1 (Related Records In Web of Science)
Times Cited By SCOPUS : 1

Reference
Cited By SCOPUS

1	Predator-prey dynamics in modelf of prey dispersal in two-patch environments / [ Y.Kuang;Y.Takeuchi ] / Math. Biosci. DOI ScienceOn
2	Periodic solution of a periodic delay predator-prey system / [ Y.Li ] / Proc. Amer. Mateh. Soc. DOI ScienceOn
3	/ [ Y.Kuang ] / Delay Differential Equations with Applications in Population Dynamics
4	The effect of dispersal in population stability in one-species, discrete space population growth models / [ P.R.Vance ] / Amer. Naturalist DOI ScienceOn
5	Mathematical model of population interactions with destersal Ⅱ : Differential survival in a change of gabitat / [ H.I.Freedman;B.Rai;P.Waltman ] / J. Math. Anal. Appl. DOI
6	Persistence, extinction, and critical patch number for island popusations / [ L.J.S.Allen ] / J. Math. Biol. DOI ScienceOn
7	/ [ J.K.Hale;S.M.Lunel ] / Introduction to Functional Differential Equations
8	Dynamics of a single species in a spatially varying environment : The stabilizing role of high dispersal rates / [ A.Hastings ] / J. Math. Biol. DOI ScienceOn
9	/ [ R.E.Gaines;J.L.Mawhin ] / Coincidence Degree and Nonlinear Differential Equations
10	Dispersion and population interaction / [ S.A.Levin ] / Amer. Naturalist DOI ScienceOn
11	Random dispersal in theorelical population / [ J.D.Skellem ] / Biometrika DOI
12	Global asymptotic stability of Lotka-Volterra diffusion models with continuous time delays / [ E.Beretta;Y.Takeuchi ] / SIAM J. Appl. Math.
13	Persistence and periodic orbits for two-species predatorprey system with diffusion / [ X.Song;L.Chen ] / Canad. Appl. Math. Quart.
14	Population dynamics in two-patch environment : Some anamalous consequences of an optimal habitat distribution / [ R.D.Holt ] / Theoret. Population Biol. DOI
15	On a periodic neutral delay Lotka-Volterra system / [ Y.Li ] / Nonlinear Anal DOI ScienceOn
16	Persistence and global stability for nonautonomous predator-prey system wity diffusion and time delay / [ X.Song;L.Chen ] / Comput. Math. Appl. DOI ScienceOn
17	Topological Degree Methods in Nonlinear Boundary Value problems / [ J.L.Mawhin ] / CBMS Regional Conf.Ser.in Math
18	Global stability and periodic orbits for two patch predator-prey diffusion delay model / [ E.Beretta;F.Solimano ] / Math. Biosci. DOI ScienceOn
19	/ [ C.Lansun;C.Jian ] / Nonlinear Dynamical System in Biology