文章基本信息

标题：New model of May cooperative system with strong and weak cooperative partners
本地全文：下载
作者：Qifa Lin ; Chaoquan Lei ; Shuwen Luo 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：2020
卷号：2020
期号：1
页码：1-20
DOI：10.1186/s13662-020-02564-6
出版社：Hindawi Publishing Corporation
摘要：In this paper, based on the model of Zhao, Qin, and Chen [Adv. Differ. Equ. 2018:172, 2018], we propose a new model of the May cooperative system with strong and weak cooperative partners. The model overcomes the drawback of the corresponding model of Zhao, Qin, and Chen. By using the differential inequality theory, a set of sufficient conditions that ensure the permanence of the system are obtained. By combining the differential inequality theory and the iterative method, a set of sufficient conditions that ensure the extinction of the weak partners and the attractivity of the strong partners and the other species is obtained. Numeric simulations show that too large transform rate will lead to more complicated fluctuation; however, the system is still permanent.
关键词：Mutualism ; Iterative method ; Weak partners ; Strong partners ; Global stability ;