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

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  • Huilan Wang
  • Zhengqiu Zhang
  • Weiping Zhou

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.

Suggested Citation

  • Huilan Wang & Zhengqiu Zhang & Weiping Zhou, 2012. "Existence of Positive Periodic Solutions for a Nonautonomous Generalized Predator-Prey System with Time Delay in Two-Patch Environment," Discrete Dynamics in Nature and Society, Hindawi, vol. 2012, pages 1-12, April.
    • Handle: RePEc:hin:jnddns:423193
    DOI: 10.1155/2012/423193
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