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

作　　者：李翠英[1] 魏凤英[1] 

机构地区：[1]福州大学数学与计算机科学学院,福建福州350116

出　　处：《福州大学学报（自然科学版）》2014年第2期177-182,共6页Journal of Fuzhou University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11201075);福建省自然科学基金资助项目(2010J01005)

摘　　要：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.

关 键 词：持久性 灭绝性 扩散 单种群 

分 类 号：O175.14[理学—数学]