一类Volterra竞争模型的定态分歧

Steady State Bifurcation for a Class of Volterra Competitive Model

摘要

摘要:运用线性全连续场的谱理论和Lyapunov-Schmidt约化方法,研究了一类Volterra竞争模型的约化方程和定态分歧,得到了方程在不同情况下所有临界参数处的分歧解.

Abstract:By using the Spectrum Theory of the linear completely continuous fields and Lyapunov-Schmidt Reduction Method, the approximation equation and the bifurcation of a class of Volterra Competitive Model is investigated. At the same time, the regular bifurcated branches of all the critical values are given in different circumstances.