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387152

Mathematical modeling of the impact of treatment on the dynamics of typhoid

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Last updated: 05 Jan 2025

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Abstract

In this paper, we propose a mathematical model for the transmission of typhoid which
analyzes the impact of treatment of the infected individuals on the dynamics of the
disease. The model consists of human population and pathogen population. The
human population is subdivided into three compartments, namely susceptible individuals, infected individuals, and recovered individuals and pathogen population comprises one compartment. We derived the basic reproduction number R0, and analyzed
the dynamical behaviors of both disease free equilibrium and endemic equilibrium by
the theory of ordinary diferential equations. Using MATLAB, we carried out numerical
simulation and the fndings indicate that efective treatment is adequate in eradicating
typhoid fever.

DOI

10.1186/s42787-021-00125-8

Keywords

Typhoid, Basic reproduction number, stability

Authors

First Name

Halson O.

Last Name

Nyaberi

MiddleName

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Affiliation

Department of Mathematics, The Technical University of Kenya, Nairobi, Kenya.

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First Name

Jane S.

Last Name

Musaili

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Affiliation

Department of Mathematics, Laikipia University, Laikipia, Kenya.

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Volume

29

Article Issue

1

Related Issue

50998

Issue Date

2021-01-01

Receive Date

2024-10-20

Publish Date

2021-01-01

Page Start

1

Page End

11

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_387152.html

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https://joems.journals.ekb.eg/service?article_code=387152

Order

387,152

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

Mathematical modeling of the impact of treatment on the dynamics of typhoid

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Article

Created At

21 Dec 2024