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

Author

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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, Hindawi, vol. 2009, pages 1-17, July.
    • Handle: RePEc:hin:jnlaaa:135843
    DOI: 10.1155/2009/135843
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    Cited by:

    1. Abdul Khaliq & Tarek F. Ibrahim & Abeer M. Alotaibi & Muhammad Shoaib & Mohammed Abd El-Moneam, 2022. "Dynamical Analysis of Discrete-Time Two-Predators One-Prey Lotka–Volterra Model," Mathematics, MDPI, vol. 10(21), pages 1-30, October.

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