Periodic solutions of a two-species ratio-dependent predator-prey system with time delay in a two-patch environment

ANZIAM J. 45 (2003), 233-244

Periodic solutions of a two-species ratio-dependent predator-prey system with time delay in a two-patch environment

Zhengqiu Zhang
Department of Applied Mathematics
Hunan University
Changsha
Hunan 410082
P. R. China

and

Zhicheng Wang
Department of Applied Mathematics
Hunan University
Changsha
Hunan 410082
P. R. China
zcwang@hnu.net.cn

Abstract

By using the continuation theorem of coincidence degree theory, a sufficient condition is obtained for the existence of a positive periodic solution of a predator-prey diffusion system.

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