Scholarlink

<p>This study explores the mechanism of pattern formation in a hyperbolic reaction-diffusion system that incorporates fitness taxis of species. Through rigorous mathematical derivation, we have established the conditions for Turing instability and wave instability, where the inertial motion of species and fitness taxis collectively regulate complex spatiotemporal behavior. To confirm the theoretical findings, we revealed the hierarchical structure of non-equilibrium dynamics through numerical simulations and demonstrated how inertial effects and fitness taxis synergistically drive different dynamics in the reaction-diffusion framework.</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

Synergistic regulation of spatiotemporal pattern formation by inertial times and fitness taxis

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年5月22日

查看全文
  • Qiuyue Zhao,
  • Shutang Liu,
  • Xinglong Niu

摘要

This study explores the mechanism of pattern formation in a hyperbolic reaction-diffusion system that incorporates fitness taxis of species. Through rigorous mathematical derivation, we have established the conditions for Turing instability and wave instability, where the inertial motion of species and fitness taxis collectively regulate complex spatiotemporal behavior. To confirm the theoretical findings, we revealed the hierarchical structure of non-equilibrium dynamics through numerical simulations and demonstrated how inertial effects and fitness taxis synergistically drive different dynamics in the reaction-diffusion framework.