Scholarlink

<p>This study explores the dynamics of a Darwinian–Cushing population model, focusing on both one- and two-parameter bifurcations. We conduct a thorough analysis of the conditions required for uniform persistence of solutions and the asymptotic stability of the positive equilibrium. The investigation covers codimension-one bifurcations, such as Neimark-Sacker and period-doubling bifurcations, along with codimension-two bifurcations, including 1:2, 1:3, and 1:4 resonances. Numerical simulations are provided to validate the theoretical findings and illustrate the complex and intricate dynamics characteristic of the model.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Exploring persistence, stability, and bifurcations: a Darwinian Ricker–Cushing model

  • 期刊论文

  • 发表日期：

    2025年1月11日

查看全文
  • Karima Mokni,
  • Mohamed Ch-Chaoui

摘要

This study explores the dynamics of a Darwinian–Cushing population model, focusing on both one- and two-parameter bifurcations. We conduct a thorough analysis of the conditions required for uniform persistence of solutions and the asymptotic stability of the positive equilibrium. The investigation covers codimension-one bifurcations, such as Neimark-Sacker and period-doubling bifurcations, along with codimension-two bifurcations, including 1:2, 1:3, and 1:4 resonances. Numerical simulations are provided to validate the theoretical findings and illustrate the complex and intricate dynamics characteristic of the model.