渐近周期Lotka-Volterra竞争扩散系统的持久性

Permanence for Asymptotically Periodic Competitive Diffusion Systems

讨论非自治的两种群 Lotka- Volterra竞争扩散模型 ,其系数是渐近周期的函数 .在关于系数的一定假设下 ,该系统是持久的 .而对系数附加条件时 。

Two species of nonautonomous Lotka Volterra competition models with diffusion are considered,where all the coefficients are asymptotically periodic functions respectively.Under certain conditions of the coefficients,it is shown that the systems are permanent.If the coefficients satisfy the additional conditions,any positive solutions of the models will asymptotically approach the unique strictly positive periodic solution of the corresponding periodic system.