Pseudo Almost Periodicity Of Two Types Of Discrete Nicholson's Blowflies Models

In this thesis, we discuss the existence and locally exponential stability of pseu-do almost periodic solutions to two types of discrete Nicholson's blowflies models. This thesis is divided into three chapters. The thesis is organized as follows.In Chapter 1, we introduce the backgrounds of the problem, the main results and preliminaries of this thesis.Chapter 2 is concerned with discrete Nicholson's blowflies model, which involves a linear harvesting term, we establish the existence and locally exponential stability of pseudo almost periodic solutions for We also establish some new properties of pseudo almost periodic type sequences. An example is given to illustrate our results.In Chapter 3, we investigate solutions for the discrete Nicholson's blowflies model, which involves a nonlinear density-dependent mortality term: We study the existence and locally exponential stability of pseudo almost periodic solutions of the equation. We also given an example to illustrate our results.