Weighted Pseudo Almost Periodic Solution And Weighted Pseudo Almost Automorphic Solution For Nicholson’s Blowflies Model With A Linear Harvesting Term And Mixed Delays

In this paper, we mainly study the existence and global uniform asymptotic stability of weighted pseudo almost periodic positive solutions and weighted pseudo almost auto-morphic positive solutions for Nicholson’s blowflies model with a linear harvesting term and mixed delays.A brief description of the organization of the thesis is as follows.In chapter 1, we consider the Nicholson’s blowflies model with a linear harvesting term and mixed delays by using the contracting mapping principle and inequality technique, then we can obtain sufficient criteria for the the existence and uniqueness of weighted pseudo almost periodic positive solution. Then we can obtain sufficient criteria for global uniform asymptotic stability of weighted pseudo almost periodic positive solution by using Lyapunov functional and inequality technique.In chapter 2, we consider the model as the above by using the contracting mapping principle and inequality technique, then we can obtain sufficient criteria for the existence and uniqueness of weighted pseudo almost automorphic positive solution. Then we can obtain sufficient criteria for global uniform asymptotic stability of weighted pseudo almost automorphic positive solution by using Lyapunov functional and inequality technique.