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<p>We here investigate the dynamical behaviors for the discrete version of a fractional-order predator-prey model with refuge effect. Mainly, we analyze the stability of its fixed points and the possibility of various bifurcations using stability analysis methods and bifurcation theory. We clearly demonstrate that, under specific parameter conditions, the system exhibits a Neimark–Sacker bifurcation and a period-doubling bifurcation. Finally, some numerical simulations are carried out for illustrating the analytic results previously derived.</p>

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Modeling and dynamical analysis of a discretized fractional-order predator-prey system with refuge effect

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年4月7日

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  • Xiao Zhu,
  • Xianyi Li,
  • Dengfeng Wang,
  • Enrui Zhang,
  • Changyi Chi

摘要

We here investigate the dynamical behaviors for the discrete version of a fractional-order predator-prey model with refuge effect. Mainly, we analyze the stability of its fixed points and the possibility of various bifurcations using stability analysis methods and bifurcation theory. We clearly demonstrate that, under specific parameter conditions, the system exhibits a Neimark–Sacker bifurcation and a period-doubling bifurcation. Finally, some numerical simulations are carried out for illustrating the analytic results previously derived.