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<p>The Holling II predator-prey systems with prey-taxis and proportional harvest rate are investigated. By analyzing the eigenvalue problem of the linearized models at the unique positive equilibrium point, we derive the conditions for the local asymptotic stability and Turing instability of the positive equilibrium solution. Further, numerical simulations are conducted to illustrate the obtained theorems.</p>

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Stability analysis for a Holling II predator-prey systems with prey-taxis and harvesting rate

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月27日

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  • Lili Zhang,
  • Zuojun Ma,
  • Tonglin Fu

摘要

The Holling II predator-prey systems with prey-taxis and proportional harvest rate are investigated. By analyzing the eigenvalue problem of the linearized models at the unique positive equilibrium point, we derive the conditions for the local asymptotic stability and Turing instability of the positive equilibrium solution. Further, numerical simulations are conducted to illustrate the obtained theorems.