Existence of Positive Periodic Solutions for a Nonautonomous Generalized Predator-Prey System with Time Delay in Two-Patch Environment

Huilan Wang, Zhengqiu Zhang and Weiping Zhou

Discrete Dynamics in Nature and Society, 2012, vol. 2012, 1-12

Abstract:

By using continuation theorem of coincidence degree theory, sufficient conditions of the existence of positive periodic solutions are obtained for a generalized predator-prey system with diffusion and delays. In this paper, we construct a V-function to make the prior estimation for periodic solutions, which makes the discussion more concise. Moreover, to compute the mapping's topological degree, a polynomial function matrix is constructed straightforwardly as a homotopic mapping for the generalized one, which improves the methods of computation on topological degree for a generalized mapping.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:423193

DOI: 10.1155/2012/423193

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