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A saturated treatment model for the transmission dynamics of rabies / Ayoade Abayomi Ayotunde … [et al.]

Rabies is a viral disease that claims about 59 000 lives globally every year. The ignorance of the fact that man can be a carrier of the disease makes every practical and theoretical approach towards the study of the disease a good development. In this work, a mathematical model is designed to incor...

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Main Authors: Ayoade, Abayomi Ayotunde, Peter, Olumuyiwa James, Ayoola, Tokunbo Aderemi, Victor, A. A.
Format: Article
Language:English
Published: Penerbit UiTM 2019
Subjects:
Algebra
Analysis
Online Access:https://ir.uitm.edu.my/id/eprint/43811/1/43811.pdf
https://ir.uitm.edu.my/id/eprint/43811/
https://mjoc.uitm.edu.my
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id my.uitm.ir.43811
record_format eprints
spelling my.uitm.ir.438112022-06-14T02:59:24Z https://ir.uitm.edu.my/id/eprint/43811/ A saturated treatment model for the transmission dynamics of rabies / Ayoade Abayomi Ayotunde … [et al.] Ayoade, Abayomi Ayotunde Peter, Olumuyiwa James Ayoola, Tokunbo Aderemi Victor, A. A. Algebra Analysis Rabies is a viral disease that claims about 59 000 lives globally every year. The ignorance of the fact that man can be a carrier of the disease makes every practical and theoretical approach towards the study of the disease a good development. In this work, a mathematical model is designed to incorporate a saturated incidence rate such that the incidence rate is saturated around the infectious agents. The model is studied qualitatively via stability theory of nonlinear differential equations to assess the effects of general awareness, constant vaccination and the saturated treatment on the transmission dynamics of rabies disease. The effective reproduction number is derived and the numerical simulation is carried out to verify the analytical results. It is discovered that while general awareness plays pivotal roles in averting rabies death, multiple control measures have the tendency of driving rabies to extinction. Penerbit UiTM 2019-06 Article PeerReviewed text en https://ir.uitm.edu.my/id/eprint/43811/1/43811.pdf A saturated treatment model for the transmission dynamics of rabies / Ayoade Abayomi Ayotunde … [et al.]. (2019) Malaysian Journal of Computing (MJoC), 4 (1). pp. 201-213. ISSN 2231-7473 https://mjoc.uitm.edu.my
institution Universiti Teknologi Mara
building Tun Abdul Razak Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Mara
content_source UiTM Institutional Repository
url_provider http://ir.uitm.edu.my/
language English
topic Algebra
Analysis
spellingShingle Algebra
Analysis
Ayoade, Abayomi Ayotunde
Peter, Olumuyiwa James
Ayoola, Tokunbo Aderemi
Victor, A. A.
A saturated treatment model for the transmission dynamics of rabies / Ayoade Abayomi Ayotunde … [et al.]
description Rabies is a viral disease that claims about 59 000 lives globally every year. The ignorance of the fact that man can be a carrier of the disease makes every practical and theoretical approach towards the study of the disease a good development. In this work, a mathematical model is designed to incorporate a saturated incidence rate such that the incidence rate is saturated around the infectious agents. The model is studied qualitatively via stability theory of nonlinear differential equations to assess the effects of general awareness, constant vaccination and the saturated treatment on the transmission dynamics of rabies disease. The effective reproduction number is derived and the numerical simulation is carried out to verify the analytical results. It is discovered that while general awareness plays pivotal roles in averting rabies death, multiple control measures have the tendency of driving rabies to extinction.
format Article
author Ayoade, Abayomi Ayotunde
Peter, Olumuyiwa James
Ayoola, Tokunbo Aderemi
Victor, A. A.
author_facet Ayoade, Abayomi Ayotunde
Peter, Olumuyiwa James
Ayoola, Tokunbo Aderemi
Victor, A. A.
author_sort Ayoade, Abayomi Ayotunde
title A saturated treatment model for the transmission dynamics of rabies / Ayoade Abayomi Ayotunde … [et al.]
title_short A saturated treatment model for the transmission dynamics of rabies / Ayoade Abayomi Ayotunde … [et al.]
title_full A saturated treatment model for the transmission dynamics of rabies / Ayoade Abayomi Ayotunde … [et al.]
title_fullStr A saturated treatment model for the transmission dynamics of rabies / Ayoade Abayomi Ayotunde … [et al.]
title_full_unstemmed A saturated treatment model for the transmission dynamics of rabies / Ayoade Abayomi Ayotunde … [et al.]
title_sort saturated treatment model for the transmission dynamics of rabies / ayoade abayomi ayotunde … [et al.]
publisher Penerbit UiTM
publishDate 2019
url https://ir.uitm.edu.my/id/eprint/43811/1/43811.pdf
https://ir.uitm.edu.my/id/eprint/43811/
https://mjoc.uitm.edu.my
_version_ 1736837229987233792
score 13.211869

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