Existence Of Almost Periodic Solutions For Several Kinds Of Discrete Biological Models

This thesis mainly studies the several kinds of discrete biological model with delays or feedback controls. By means of different research methods, the sufficient conditions on the existence of almost periodic solutions of the several kinds of discrete systems have been obtained. It is consists of three chapters.In Chapter 1, introduce issues arising from the historical background and main tasks of this article.In Chapter 2, discuss the existence of almost periodic solution of a discrete Lotka-Volterra competitive system delays and feedback control. By means of hull theorem and using some analysis techniques,we obtain some sufficient conditions which guarantee the existence of a unique positive almost periodic solution of the system.By using differential inequalities, we obtain permanent of the system.In Chapter 3. discuss the existence of almost periodic solution for Leslie-Gower predator-prey model with feedback control.We construct a suitable Lya-punov function and use some analysis techniques to obtain existence and stability of almost periodic solution of the system.