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

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.