一类生态系统的持续生存和全局稳定性

Persistence and Global Stability for a Kind of Ecological System

讨论了一类具有连续时滞和功能性反应的两种群两缀块的一类生态系统的动力学行为。两种群之一能在两缀块中迁移，另一种群限制在一个缀块中，应用微分方程定性和稳定性的方法，证明了系统在一定条件下是持续生存的。进一步。

The purpose of this paper is to discuss the dynam ical behavior of a kind oftw o species com petition system w ith continuous tim e delay and functionalresponse. One ofthe tw o species can diffuse betw een tw o patches,and another is confined to one patch. It isproved that the system w illbe persistent under definition conditions. Furtherm ore,sufficientconditions are established for globalstability ofthe system .