一类激活剂-抑制剂反应扩散模型的定性分析

Stability Analysis for the Activator-Inhibitor Reaction-Diffusion Model

研究了一类激活剂-抑制剂反应扩散模型,运用线性方法分别讨论其常微系统及自扩散系统唯一正常数平衡点的稳定性,说明交错扩散可使在常微系统中稳定但在自扩散系统中唯一的正常数平衡点稳定.

An activator-inhibitor reaction-diffusion model is studied. By linearization, the stability of the uni- form positive constant steady state of the kinetic and self-diffusion reaction systems is given. We find that cross-diffusion can stabilize a uniform equilibrium which is stable for the kinetic system but unstble for the self-diffusion reaction system.