Dynamic Behavior Analysis Of Several Types Of Ecosystems With Time-delay Stage Structures And Holling ? Functional Reactions

In this paper,the dynamic behavior of three kinds of predatory-prey systems "with stage structure and Holling ?.in this paper,the system with stage structure and Holling?.is studied in depth,and the sufficient conditions for the persistence and stability of the periodic solution of the system are obtained,which can be verified by numerical simulation.In chapter one,This paper mainly introduces the research background and the neces-sary preparatory knowledge of the phase structure ecosystem with class Holling ? func-tional reactive diffusion pulse and time delay.In chapter two,The persistence and stability of a class of Holling ? predator system with stage structure and time delay are studied,and the global stability of the system is discussed by constructing an appropriate Lyapunov function.In chapter three,Studied a class of predator-prey system with nonlinear diffusion and competitive relationship between populations,with stage structure and delay the preda-tor Holling III functional response of four species nonautonomous predator-prey system.By the comparison theorem,the sufficient condition of uniform persistent survival.Use Brouwer fixed point theorem and Liapunov function structure,the existence positive pe-riodic solution of a cycle system is obtained and sufficient conditions of global stability.Finally,through the numerical simulation verifies the correctness of the conclusion.In chapter four,Predator-prey system in this paper,we study the relationship between the competitive and with stage "hook and Holling ? functional response of predator,in the moment for a continuous pulse spraying pesticide,the predator constant.By the comparison theorem,the locally asymptotic stability of cycle system and the sufficient condition of uniform persistence.Finally,through the numerical simulation verifies the correctness of the conclusion.