Almost Periodic Solution For An Impulsive Competition-predation System With Delays

In this thesis,we mainly study the comparison theorem of solutions to differential inequalities with delays and impulses.As an application,we obtain sufficient conditions of permanence for a class of impulsive multispecies Lotka-Volterra competition system with delays.Based on the permanence result,by using the Lyapunov stability theory of impulsive differential equations,we obtain the sufficient conditions for the existence and uniformly asymptotic stability of a unique positive almost periodic solution of the two species population system.Finally,we give an example to show the feasibility of our main results.