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<p>In this paper, we studied a stochastic predator-prey model of two predators with stage structure. By constructing a suitable stochastic Lyapunov function, the condition of stationary distribution is verified, and we get the sufficient condition for the model to have ergodic stationary distribution. Then, by using the Itô’s formula for the model, the sufficient conditions for the extinction of the predator population are given. Finally, some examples and numerical simulations are illustrated to verify the theoretical results.</p>

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Analysis of Two Kinds of Stochastic Predator-prey Models with Stage Structure

  • 期刊论文

  • 发表日期：

    2025年10月6日

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  • Xin-qi Wang,
  • Tian-si Zhang

摘要

In this paper, we studied a stochastic predator-prey model of two predators with stage structure. By constructing a suitable stochastic Lyapunov function, the condition of stationary distribution is verified, and we get the sufficient condition for the model to have ergodic stationary distribution. Then, by using the Itô’s formula for the model, the sufficient conditions for the extinction of the predator population are given. Finally, some examples and numerical simulations are illustrated to verify the theoretical results.