STABILITY OF LOTKA-VOLTERRA COOPERATION SYSTEM WITH SINGLE FEEDBACK CONTROL

In this paper,a Lotka-Volterra cooperation system with single feedback control is proposed and studied.We investigate the local stability and the global stability of the system.Our study shows that with suitable restriction on the coefficients of the feedback control variable,the system can still remain globally stable or become extinct,which shows that the feedback control variable plays a very important role in the dynamics behaviors of the system.