一类生态学中反应扩散方程正定态解的全局分歧分析

Global Bifurcation of Positive Steady-State Solution of a System of Reaction-diffusion Equation

本文研究了一类捕食—被捕食模型的正定态解的全局分歧问题;利用紧算子的全局分歧结果细致分析了分歧解的全局结构,得到了正解存在的充要条件。

In this paper, the positive steady-state solution of a system of reaction-diffusion equation arising in ecology is studied by means of a global bifurcation result of compact operators, and the sufficient and necessary condition for the existence of strictly positive steady-state solution is given.