The Stability of a Reaction-Diffusion Lotka-Volterra Competitive System with Nonlocal Delays and Feedback Controls

Abstract

In this paper, we consider a Lotka-Volterra competitive system with nonlocal delays and feedback controls. Using the Lyapunov functional and iterative technique method, we investigate the global stability and extinction of the system. Also, we show the influence of feedback controls on dynamic behaviors of the system. Some examples are presented to verify our main results.