文章基本信息

标题：Dynamic behaviors of a discrete Lotka-Volterra competitive system with the effect of toxic substances and feedback controls
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作者：Zhanshuai Miao ; Fengde Chen ; Jiamin Liu 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：2017
卷号：2017
期号：1
页码：112
DOI：10.1186/s13662-017-1130-5
语种：English
出版社：Hindawi Publishing Corporation
摘要：By noting the fact that the intrinsic growth rate are not positive everywhere, we revisit Lotka-Volterra competitive system with the effect of toxic substances and feedback controls. The corresponding results about permanence and extinction for the species given in (Chen and Chen in Int. J. Biomath. 8(1):1550012, 2015) are extended. Furthermore, a very important fact is found in our results, that is, the feedback controls and toxic substances have no effect on the permanence and extinction of species. Moreover, we also derive sufficient conditions for the global stability of positive solutions. Finally, some numerical simulations show the feasibility of our main results.
关键词：feedback controls ; discrete ; toxic substances ; permanence ; extinction ; global stability