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Persistence and Stability for a Generalized Leslie‐Gower Model with Stage Structure and Dispersal

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  • Hai-Feng Huo
  • Zhan-Ping Ma
  • Chun-Ying Liu

Abstract

A generalized version of the Leslie‐Gower predator‐prey model that incorporates the prey structure and predator dispersal in two‐patch environments is introduced. The focus is on the study of the boundedness of solution, permanence, and extinction of the model. Sufficient conditions for global asymptotic stability of the positive equilibrium are derived by constructing a Lyapunov functional. Numerical simulations are also presented to illustrate our main results.

Suggested Citation

  • Hai-Feng Huo & Zhan-Ping Ma & Chun-Ying Liu, 2009. "Persistence and Stability for a Generalized Leslie‐Gower Model with Stage Structure and Dispersal," Abstract and Applied Analysis, John Wiley & Sons, vol. 2009(1).
    • Handle: RePEc:wly:jnlaaa:v:2009:y:2009:i:1:n:135843
    DOI: 10.1155/2009/135843
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    References listed on IDEAS

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    1. Guo, Hongjian & Song, Xinyu, 2008. "An impulsive predator–prey system with modified Leslie–Gower and Holling type II schemes," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1320-1331.
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    Cited by:

    1. Min Zhao & Chuanjun Dai, 2014. "Nonlinear Dynamic in an Ecological System with Impulsive Effect and Optimal Foraging," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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