On the of positive almost and positive pseudo almost periodic solutions of Nicholson's blowflies models

The aim of this thesis, under suitable conditions, is to present some scientific works in the relevant literature which are related to the the existence and globally exponentially stability of positive almost periodic and positive pseudo almost periodic solutions of non-autonomous delayed Nicholson's blowflies differential equation models with harvesting term, and they are proved by using Lyapunov's direct method, exponential dichotomy and fixed point theory. This thesis has six chapters. In the first chapter, some available information in the literature on the subject of the thesis is given. In the second chapter, some works which were obtained in the relevant literature related to the subject of the thesis were summarized. In third chapter of this thesis, the materials and methods used in the thesis were presented. In the fourth chapter, some basic concepts, basic definitions and fundamental theorems that are related to the content of thesis were introduced. In the fifth chapter, it was given a work which can be found in the relevant literature in relation to the existence and globally exponentially stability of positive almost periodic solutions of a non-linear Nicholson's blowflies model with linear harvesting term and multiple delays. In the final chapter of the thesis, in chapter 6, it was mentioned about the works which can be found in the relevant literature related to the existence and globally exponentially stability of positive pseudo almost periodic solutions of two different non-autonomous Nicholson's blowflies differantial equation models with harvesting term and multiple delays. This thesis does not include any original result.