Manel Amdouni, Farouk Chérif

New Results on the Weighted Pseudo Almost Automorphic Solutions of the Mackey-Glass Model with Mixed Delays

abstract:
Using the weighted pseudo almost automorphic concept and the Banach fixed point theorem, in this paper we study the existence and uniqueness of a new class of hematopoiesis model. The exponential and asymptotic stabilities are also established. In addition, we provide two numerical examples and computer simulations in order to demonstrate the feasibility of theoretical results. It should be mentioned that the methods and definitions introduced in the paper can be applied to study other types of delayed dynamic models.

Mathematics Subject Classification: 43A60, 34D20, 68Q07

Key words and phrases: Weighted pseudo almost automorphic, stability, hematopoiesis model