Stability And Periodicity Of Solutions Of Some Impulsive Functional Differential Equations

In this paper,we study the asympotic stability for impulsive functional differential equation and periodic solutions of population models influenced by impulses.In chapter two,we study the asympotic stability for impulsive functional differential equation:and establish the asympotic stability theorems and the uniformly asympotic stability theorems of zero solutions of the impulsive functional differential equation, the theorems extend or improve the former results.By using the method of coincidence degree,in chapter three,we study the existence of positive periodic solution of Predator-Prey system with impulses and infinite delay:in chapter four,we study the existence and global asymptotic stability of the positive periodic solution of a Lotka-Volterra system with delays and impulses:in chapter five,we study the existence of positive periodic solution of a impulsive neutral modal of single-species population growth:and respectively obtain some new sufficient conditions.