Special Session 63: Analysis and Optimization of Biological and Medical Systems

Comparative analysis of different vector-host epidemic models with direct transmission.

dawit denu
Georgia southern university
USA
Co-Author(s):    Dawit Denu, Sedar Ngoma, Bolaji Rachidi
Abstract:
In this talk, we will propose and analyze four vector-host epidemic models by considering different assumptions on how the infection is transmitted from one group to another. We first examine some common features and similarities of the four models, such as the existence and stabilities of the equilibrium solutions in relation to the basic reproduction number and the existence and uniqueness of a positive global solution. Moreover, we investigate the main differences between these models and study some specific properties of their solutions. Numerical simulations will be included to illustrate some of the theoretical results.