斑块环境竞争系统的持久性和灭绝性

Permanence and Extinction in Nonautonomous Competitive System with Diffusion

本文主要考虑扩散率对斑块环境中的竞争物种的持久性及灭绝性的影响。与以往研究不同的是,将出生率拓展为一般连续函数。考虑在某个孤立的斑块上,其中一个物种将灭绝的前提下,引入扩散后,两物种的最终状态。通过分析斑块环境竞争系统的生态模型,得到了两物种保持持久生存,及其中之一物种灭绝的条件。

We consider a competitive system in patchy enviroments, where one of the species will go extincting in an isolated patch. Our aim is to obtain the conditions under which the species become permanent or keep partial extinction for the corresponding dispersal system. Different from former studies, the growth rate of the species is extended to a general continuous function.