具有放牧率的两种群竞争扩散模型的概周期解及其稳定性

Existence and Stability for Almost Periodic Solution of Competition Models with Grazing Rates

本文对具有放牧率的两种群竞争扩散模型的概周期解进行了讨论，采用比较原理、Schauder不动点定理及Lvapunov函数方法，得到了空间齐次概周期解的存在性和稳定性的一些简捷的充分条件．

The problem of existence and stability for almost periodic solution of competition model withgrazing rates and diffusion in population dynamics is discussed by methods of comparison theory, Schauder'sfixed point theorem and Lyapunov function. The sufficient conditions are obtained for the existence of aglobally asymptotically stable strictly positive space homogenous almost periodoic solution.