文章基本信息

标题：Dynamic Behaviors of May Cooperative Model with Density Dependent Birth Rate
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作者：Zhenliang Zhu ; Fengde Chen ; Liyun Lai 等
期刊名称：Engineering Letters
印刷版ISSN：1816-093X
电子版ISSN：1816-0948
出版年度：2020
卷号：28
期号：2
页码：477-485
语种：English
出版社：Newswood Ltd
摘要：By incorporating the density dependent birth rateto the traditional May type cooperative system, we propose thefollowing cooperative system where b ij ,i = 1,2,j = 1,2,3,4,a 11 ,a 12 , a 21 , a 22 , k 1 and k 2are all positive constants. By applying the comparison principle,sufficient conditions which ensure the extinction, partial sur-vival and permanence of the system are obtained, respectively.By applying the Dulac criterion, a set of sufficient conditionswhich ensure the existence of a unique globally asymptoticallystable equilibrium is obtained. Numeric simulations are carriedout to show the feasibility of the main results.
关键词：Global attractivity;Cooperative model; Density dependent birth rate