Existence And Attractivity Of Almost Periodic Solutions For Several Kinds Of Biological Models

This thesis mainly studies the several kinds of biological model with impulses or feedback controls. By means of different research methods, the sufficient condi-tions on the existence of almost periodic solutions of the several kinds of systems have been obtained. It is consists of four chapters.In Chapter1, introduce issues arising from the historical background and main tasks of this article.In Chapter2, discuss the existence of almost periodic solution for Hematopo-iesis model with delay and feedback control. Our approach which is by construct-ing a suitable Lyapunov function and using some analysis techniques, we obtain some sufficient conditions which guarantee existence of a unique positive almost periodic solution of the system.In Chapter3,we discuss the existence of almost periodic solution for DCNNS system with delays,based on impulsive phenomenon. We employ the contraction mapping principle and the Gronwall-Bellman inequality to obtain the existence and stability of the almost periodic solution of the system. Our results extend some known results.In Chapter4,we consider the almost periodic solution of n-species Lotka-Volterra competition system with delays and feedback controls.Assuming that the coefficients of discussed system is almost periodic sequences,we obtain existence and uniqueness of the aimost periodic solution which is uniformly asymptotically stable.