文章基本信息

标题：Partial permanence and extinction on stochastic Lotka-Volterra competitive systems
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作者：Chunwei Dong ; Lei Liu ; Yonghui Sun 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2015
卷号：2015
期号：1
页码：266
DOI：10.1186/s13662-015-0608-2
语种：English
出版社：Hindawi Publishing Corporation
摘要：This paper discusses an autonomous competitive Lotka-Volterra model in random environments. The contributions of this paper are as follows. (a) Some sufficient conditions for partial permanence and extinction on this system are established; (b) By using some novel techniques, the conditions imposed on permanence and extinction of one-species are weakened. Finally, a numerical experiment is conducted to validate the theoretical findings.
关键词：Lotka-Volterra model ; random environments ; Brownian motions ; Itô formula ; persistence in mean ; extinction