An analysis of a partial temporary immunity SIR epidemic model with nonlinear treatment rate

Other Title(s)

تحليل المناعة المؤقتة الجزئية لنموذج SIR للأمراض الوبائية بمعامل علاج غير خطي

Joint Authors

Majid, Siba Nuri
Naji, Raid Kamil

Source

Baghdad Science Journal

Issue

Vol. 16, Issue 3 (30 Sep. 2019), pp.639-647, 9 p.

Publisher

University of Baghdad College of Science for Women

Publication Date

2019-09-30

Country of Publication

Iraq

No. of Pages

9

Main Subjects

Medicine

Topics

Abstract EN

A partial temporary immunity SIR epidemic model involv nonlinear treatment rate is proposed and studied.

The basic reproduction number ?0 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.

American Psychological Association (APA)

Majid, Siba Nuri& Naji, Raid Kamil. 2019. An analysis of a partial temporary immunity SIR epidemic model with nonlinear treatment rate. Baghdad Science Journal،Vol. 16, no. 3, pp.639-647.
https://search.emarefa.net/detail/BIM-899660

Modern Language Association (MLA)

Majid, Siba Nuri& Naji, Raid Kamil. An analysis of a partial temporary immunity SIR epidemic model with nonlinear treatment rate. Baghdad Science Journal Vol. 16, no. 3 (2019), pp.639-647.
https://search.emarefa.net/detail/BIM-899660

American Medical Association (AMA)

Majid, Siba Nuri& Naji, Raid Kamil. An analysis of a partial temporary immunity SIR epidemic model with nonlinear treatment rate. Baghdad Science Journal. 2019. Vol. 16, no. 3, pp.639-647.
https://search.emarefa.net/detail/BIM-899660

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 646

Record ID

BIM-899660