An Analysis of a Partial Temporary Immunity SIR Epidemic Model with Nonlinear Treatment Rate

Authors

Saba Noori Majeed, Department of Computer Science, College of Education for Women, University of Baghdad, Baghdad, IraqFollow
Raid Kamel Naji, Departmentof Mathematics, College of Science, University of Baghdad, Baghdad, Baghdad, Iraq

Abstract

A partial temporary immunity SIR epidemic model involv nonlinear treatment rate is proposed and studied. The basic reproduction number is determined. The local and global stability of all equilibria of the model are analyzed. The conditions for occurrence of local bifurcation in the proposed epidemic model are established. Finally, numerical simulation is used to confirm our obtained analytical results and specify the control set of parameters that affect the dynamics of the model.

Keywords

Nonlinear treatment rate, Partial temporary immunity, SIR epidemic model.

Article Type

Article

How to Cite this Article

Noori Majeed, Saba and Kamel Naji, Raid (2019) "An Analysis of a Partial Temporary Immunity SIR Epidemic Model with Nonlinear Treatment Rate," Baghdad Science Journal: Vol. 16: Iss. 3, Article 14.
DOI: https://doi.org/10.21123/bsj.2019.16.3.0639