New model of May cooperative system with strong and weak cooperative partners

Advances in Difference Equations

article

Lin, Qifa¹  Lei, Chaoquan¹  Luo, Shuwen²  Xue, Yalong¹ 

[1] Department of Mathematics, Ningde Normal University;College of Mathematics and Computer Science, Fuzhou University

关键词: Mutualism;    Iterative method;    Weak partners;    Strong partners;    Global stability;   

DOI  :  10.1186/s13662-020-02564-6

学科分类：航空航天科学

来源: SpringerOpen

【 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.

【 授权许可】

CC BY