The Effects of Treatment and Immigrants on the Dynamics of SIS Epidemic Model

Raid Kamel Naji, Shurowq Kadhum Shafeeq

Abstract


In this paper, a mathematical model representing epidemic model involving a limited resource of treatment and immigrants has been proposed and analyzed. It is assumed that fraction of the immigrants comes infected. The boundedness of the system is discussed. The local stability analysis of all possible equilibrium points is investigated. The global stability of the system is studied analytically as well as numerically. Finally, it is observed that, the existence of treatment and the immigrants have a stabilizing effect on the dynamical behavior of the proposed model.

Keywords


SIS- epidemic Model, Treatment, Immigrants, Local stability, Global Stability.

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