污染环境下具捕获及扩散的单种群持久性与灭绝性

Persistence and extinction of a single species with diffusion and harvesting in a polluted environment

研究了在污染环境中具有捕获及扩散的单种群在两斑块之间扩散后,种群的持久性和灭绝性问题.一个斑块是保护区,另一个斑块是污染区,在两个斑块内都进行捕获.通过对右端函数的分析,得到种群持久和灭绝的充分条件,并指出捕获及扩散对种群的影响.

The persistence and extinction of a single species with diffusion and harvesting are consid- ered in this paper. The species can diffuse between the polluted patch and the protected patch. By an-alyzing the right hand functions, the sufficient conditions for persistence and extinction of the species are obtained, further, the influences of harvesting and diffusion are important.