Scholarlink

<p>This paper proposes and analyzes a novel fractional discrete–time Leslie—Gower population model that incorporates constant immigration and Holling Type II predator–prey interaction. First, a non–dimensional scheme is considered to construct a two–dimensional fractional–order system, and then a fractional–order discretization approach is used. The study focuses on exploring the stability of equilibrium points by conducting stability analyses. Furthermore, Flip bifurcation and Neimark–Sacker bifurcation are studied to elucidate the complex dynamics of the system. To effectively control the chaotic dynamics resulting from these bifurcations, two control strategies, namely the State Feedback Method and the Hybrid Control Method, are used. Numerical simulations are performed to demonstrate the validity of the theoretical results numerically and visually. These findings advance the understanding of complex discrete–time systems and provide insight into how fractional discretization affects ecological models.</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

Complex dynamics of a discrete fractional–order Leslie–type predator–prey model with constant immigration effect

  • 期刊论文

  • 发表日期：

    2025年8月19日

查看全文
  • Sure Köme

摘要

This paper proposes and analyzes a novel fractional discrete–time Leslie—Gower population model that incorporates constant immigration and Holling Type II predator–prey interaction. First, a non–dimensional scheme is considered to construct a two–dimensional fractional–order system, and then a fractional–order discretization approach is used. The study focuses on exploring the stability of equilibrium points by conducting stability analyses. Furthermore, Flip bifurcation and Neimark–Sacker bifurcation are studied to elucidate the complex dynamics of the system. To effectively control the chaotic dynamics resulting from these bifurcations, two control strategies, namely the State Feedback Method and the Hybrid Control Method, are used. Numerical simulations are performed to demonstrate the validity of the theoretical results numerically and visually. These findings advance the understanding of complex discrete–time systems and provide insight into how fractional discretization affects ecological models.