Scholarlink

<p>This paper is committed to study the dynamical behaviors of a generalized reaction-diffusion Maginu model with distributed delay. We investigate the stability of the positive equilibrium and the existence of periodic solutions bifurcating from the positive equilibrium. Further, by using the center manifold theorem and the normal form theory, we derive the precise conditions to judge the bifurcation direction and the stability of the bifurcating periodic solutions. Importantly, we deduce the exact conditions in terms of the diffusion coefficients to guarantee the occurrence of Turing instability for both homogeneous equilibrium solution and the Hopf bifurcating periodic solutions. Intuitively, numerical simulations are used to support our theoretical analysis.</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

Bifurcations and dynamical behaviors for a generalized Maginu model with distributed delay

  • 期刊论文

  • 发表日期：

    2025年5月9日

查看全文
  • Xiaowei Ju

摘要

This paper is committed to study the dynamical behaviors of a generalized reaction-diffusion Maginu model with distributed delay. We investigate the stability of the positive equilibrium and the existence of periodic solutions bifurcating from the positive equilibrium. Further, by using the center manifold theorem and the normal form theory, we derive the precise conditions to judge the bifurcation direction and the stability of the bifurcating periodic solutions. Importantly, we deduce the exact conditions in terms of the diffusion coefficients to guarantee the occurrence of Turing instability for both homogeneous equilibrium solution and the Hopf bifurcating periodic solutions. Intuitively, numerical simulations are used to support our theoretical analysis.