一类竞争扩散系统的定态分歧与稳定性

本文研究一类竞争扩散系统,在方程所描述的模型中,两个相互竞争的物种栖息在同一有界区域内,相互制约的项是Holling-Tanner型的,在齐次Dirichlet边界条件下,应用谱分析和分歧理论的方法,研究了非负定态解的分歧及其稳定性。

The Bifurcation of Steady State and Stability of a Competitive Diffusion System

In this paper a system of competitive diffusion is investigated. The equations model a sit-uation in which two competitive species inhabit the same bounded region and the interaction terms are of Holling-Tanner. Under homogeneous Dirichlet boundary conditions,the bifurcation of the nonnegative stationary solutions and stability are discussed by spectral analysis and the methods of bifurcation theory.