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

Majeed et al.

doi:10.21123/bsj.2019.16.3.0639

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Published: Sep 1, 2019

DOI: https://doi.org/10.21123/bsj.2019.16.3.0639

Keywords:

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

Majeed et al.

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.

Received 25/3/2018,

Accepted 7/3/2019,

Published 1/9/2019

How to Cite

An Analysis of a Partial Temporary Immunity SIR Epidemic Model with Nonlinear Treatment Rate. Baghdad Sci.J [Internet]. 2019 Sep. 1 [cited 2024 Apr. 19];16(3):0639. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3945

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Vol. 16 No. 3 (2019): Issue 3

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P-ISSN: 2078-8665 | E-ISSN: 2411-7986

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Journal: Baghdad Science Journal
Publisher: College of Science for Women/ University of Baghdad
Baghdad Sci. J. is peer-reviewed and open access
Print ISSN: 2078-8665
Electronic ISSN: 2411-7986
Publishing Frequency: Quarterly (from 2004 - 2021) Bi-monthly (from 2022) Monthly (from 2024)
Launched Date: 2004
Abbreviation: Baghdad Sci.J.
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© 2022 The Author(s). Published by College of Science for Women, University of Baghdad. This is an Open Access article distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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