一类被食种群分散在多个小生境的捕食——被捕食系统的讨论

A Prey—Predator System of Prey Dispersal in a Patchy Environment

本文对一类分布在几个异质小生境中的捕食——被捕食系统进行讨论,运用微分方程的定性理论,得出具有线性扩散的被捕食种群系统存在唯一全局稳定的正平衡点的充分条件,进而又得到一个判定整个捕食——被捕食系统持久和存在正平衡点的充分条件,推广了前人的一些结果。

This paper is concerned with a model of prey that dispersal among the n patches of a heterogeneous environment with barriers between patches, and with a predator for which the disperal between patches does not involve a barrier. We obtain that there exists a unique global stable equilibrium for prey system with linear diffusion, Furthermore, Sufficient conditions are derived for persistence and existence of equilbrium of the whole prey—predator System.