Persistence and Periodicity of Nonautonomos n-Species Cooperative System with Feedback Controls and Smith Growth for Prey

Abstract

In this paper, a non-autonomous n-Species Lotka-Volterra cooperative system with feedback controls and smith growth for prey is investigated. By using Comparability Theorem, constructing Lyapunov function and Continuation Theorem, a set of easily verifiable sufficient conditions are obtained to guarantee the permanent and Positive periodic solution global attractivity of the system.