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A New Global Stable Conclusion on a Diffusive Leslie-Gower Predator-Prey System with Additive Allee Effect

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  • Liu Yang

Abstract

In this work, a diffusive Leslie-Gower predator-prey model with additive Allee effect on prey under a homogeneous Neumann boundary condition is reconsidered. We establish new sufficient conditions for the global stability of the unique positive equilibrium point of the system by using the comparison method rather than the Lyapunov function method. It is shown that our result supplements and complements one of the main results of Yang and Zhong, 2015. Furthermore, numerical simulations are performed to consolidate the analytic finding.

Suggested Citation

  • Liu Yang, 2019. "A New Global Stable Conclusion on a Diffusive Leslie-Gower Predator-Prey System with Additive Allee Effect," Discrete Dynamics in Nature and Society, Hindawi, vol. 2019, pages 1-5, December.
    • Handle: RePEc:hin:jnddns:7956015
    DOI: 10.1155/2019/7956015
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