文章基本信息

标题：Dynamic behaviors of an obligate Gilpin-Ayala system
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作者：Danhong Wang
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2016
卷号：2016
期号：1
页码：270
DOI：10.1186/s13662-016-0965-5
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, a nonautonomous obligate Gilpin-Ayala system is proposed and studied. The persistence and extinction of the system are discussed by using the comparison theorem of differential equations. The results show that, depending on the cooperation intensity between the species, the first species will be driven extinct or be permanent. After that, by using the Lyapunov function method, series of sufficient conditions are obtained which ensure the global attractivity of the system. Finally, two examples are given to illustrate the feasibility of the main results.
关键词：obligate Gilpin-Ayala system ; extinction ; permanence ; Lyapunov function ; global attractivity