Global Stability for the Lotka-Volterra Mutualistic System with Time Delayy

In this paper, we are concerned with the dynamical behavior of a two-species Lotka-Volterra mutualistic system with time delay. First of all, we use three different methods to discuss the global stability of the unique positive equilibrium point of a two-species Lotka-Volterra mutualistic system without time delay. Secondly, we study the change of the global stability for a two-species Lotka-Volterra mutualistic system with time delay. Finally, we illustrative our results by some examples