Permanence and existence of positive periodic solution for a multi-species cooperation system with continuous time delays, feedback control, and periodic external source

Advances in Difference Equations

Payam Nasertayoob¹  S Mansour Vaezpour¹ 

[1] Department of Mathematics, Amirkabir University of Technology (Polytechnic), Tehran, Iran

关键词: Schauder’s fixed-point theorem;    periodic solution;    multi-species system;    feedback control;   

DOI  :  10.1186/1687-1847-2012-156

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, sufficient conditions which guarantee the existence of positive periodic solutions for a multi-species cooperation system are obtained. The permanence of solutions is studied. The proof is based on Schauder’s fixed-point theorem. Also, we give a illustrative example in order to indicate the validity of the assumptions. MSC:54H99.

【 授权许可】

CC BY