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<p>A predator-prey model with prey dispersal and Holling type-II functional response is investigated. In this model, the time delay due to the gestation of the predator and stage-structure for the predator are considered. By analyzing the corresponding characteristic equations, the local stability of each of the nonnegative equilibria is discussed. The existence of Hopf bifurcations at the positive equilibrium is established. By using Lyapunov functionals and LaSalle’s invariance principle, sufficient conditions are obtained for the global stability of the positive equilibrium, the nonnegative boundary equilibrium and the trivial equilibrium of the model, respectively. Numerical simulations are carried out to illustrate the main results.</p>

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The effect of dispersal on a predator-prey model with Holling type-II functional response

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • Ling-shu Wang,
  • Mei Zhang,
  • Ya-nan Zhang,
  • Yan Wang

摘要

A predator-prey model with prey dispersal and Holling type-II functional response is investigated. In this model, the time delay due to the gestation of the predator and stage-structure for the predator are considered. By analyzing the corresponding characteristic equations, the local stability of each of the nonnegative equilibria is discussed. The existence of Hopf bifurcations at the positive equilibrium is established. By using Lyapunov functionals and LaSalle’s invariance principle, sufficient conditions are obtained for the global stability of the positive equilibrium, the nonnegative boundary equilibrium and the trivial equilibrium of the model, respectively. Numerical simulations are carried out to illustrate the main results.