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Permanence and Periodic Solutions for a Two-Patch Impulsive Migration Periodic -Species Lotka-Volterra Competitive System

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  • Zijian Liu
  • Chenxue Yang

Abstract

We study a two-patch impulsive migration periodic -species Lotka-Volterra competitive system. Based on analysis method, inequality estimation, and Lyapunov function method, sufficient conditions for the permanence and existence of a unique globally stable positive periodic solution of the system are established. Some numerical examples are shown to verify our results and discuss the model further.

Suggested Citation

  • Zijian Liu & Chenxue Yang, 2015. "Permanence and Periodic Solutions for a Two-Patch Impulsive Migration Periodic -Species Lotka-Volterra Competitive System," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-14, December.
    • Handle: RePEc:hin:jnddns:293050
    DOI: 10.1155/2015/293050
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    Cited by:

    1. Xiangjun Dai & Hui Jiao & Jianjun Jiao & Qi Quan, 2023. "Survival Analysis of a Predator–Prey Model with Seasonal Migration of Prey Populations between Breeding and Non-Breeding Regions," Mathematics, MDPI, vol. 11(18), pages 1-19, September.

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