一类周期互惠共存系统的正周期解

POSITIVE PERIODIC SOLUTION OF A PERIODIC COOPERATIVE SYSTEM

本文考虑一类两种群周期互惠共存系统,应用拓扑度理论,得到了系统存在唯一的渐近稳定的正周期解的合理条件;并进一步证明了周期解的全局渐近稳定性,给出了解的最优上下界估计。

In this peper, a periodic copperative system for two species is considered. By using the conceptionof topological degree, we obtain a reasonable condition under which the system has a unique andasymptotic stabele positive solution. Furthermore, we prove that the positive periodic solution is global-ly asymptotically stable and give optimal upper and lower bounds of the components of the solution.