Mathematical Modeling of the Transmission of Foot And Mouth Disease Virus in Cloven-Hooved Animals.

In this study, propose and investigate a generalized model that describes the transmission dynamics of Foot and Mouth Disease in cloven-hooved animals. The transmission process from infected animals to other animals and contaminated environment to susceptible animals is modeled by the SAIR model wh...

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Main Author: Mbasa, Nikora
Format: Thesis
Language:en_US
Published: Kabale University 2024
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Online Access:http://hdl.handle.net/20.500.12493/1710
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author Mbasa, Nikora
author_facet Mbasa, Nikora
author_sort Mbasa, Nikora
collection KAB-DR
description In this study, propose and investigate a generalized model that describes the transmission dynamics of Foot and Mouth Disease in cloven-hooved animals. The transmission process from infected animals to other animals and contaminated environment to susceptible animals is modeled by the SAIR model which covers many special cases. We show that at a particular point in time,t, if the product of the population growth rater= Bµ and the sum of the natural death rate and the number of infected animals (weighted by the exposure rate) is greater than the product of the basic reproduction number and the number of susceptible animals, then the endemic equilibrium point will be stable and the disease will persist in the animal population. (That is, if r(+ BI) > RS" Furthermore, we show that if the product of the infection rate, an exposure rate, and the population growth rate r is less than the product of the sum a + µ, and 6 + y +µthen the disease-free equilibrium will be stable (that is; a{]r < (a + +)(6 + y + µ), where 8, y are the disease-induced death rate and recovery rates, respectively). This condition then implies that the disease can be eradicated from the population.
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spelling oai:idr.kab.ac.ug:20.500.12493-17102024-08-01T00:03:10Z Mathematical Modeling of the Transmission of Foot And Mouth Disease Virus in Cloven-Hooved Animals. Mbasa, Nikora Mathematical Modeling Transmission Foot Mouth Disease Virus Cloven-Hooved Animals In this study, propose and investigate a generalized model that describes the transmission dynamics of Foot and Mouth Disease in cloven-hooved animals. The transmission process from infected animals to other animals and contaminated environment to susceptible animals is modeled by the SAIR model which covers many special cases. We show that at a particular point in time,t, if the product of the population growth rater= Bµ and the sum of the natural death rate and the number of infected animals (weighted by the exposure rate) is greater than the product of the basic reproduction number and the number of susceptible animals, then the endemic equilibrium point will be stable and the disease will persist in the animal population. (That is, if r(+ BI) > RS" Furthermore, we show that if the product of the infection rate, an exposure rate, and the population growth rate r is less than the product of the sum a + µ, and 6 + y +µthen the disease-free equilibrium will be stable (that is; a{]r < (a + +)(6 + y + µ), where 8, y are the disease-induced death rate and recovery rates, respectively). This condition then implies that the disease can be eradicated from the population. 2024-01-17T08:44:02Z 2024-01-17T08:44:02Z 2022 Thesis Mbasa, Nikora (2022). Mathematical Modeling of the Transmission of Foot And Mouth Disease Virus in Cloven-Hooved Animals. Kabale: Kabale University. http://hdl.handle.net/20.500.12493/1710 en_US Attribution-NonCommercial-NoDerivs 3.0 United States http://creativecommons.org/licenses/by-nc-nd/3.0/us/ application/pdf Kabale University
spellingShingle Mathematical Modeling
Transmission
Foot
Mouth Disease Virus
Cloven-Hooved Animals
Mbasa, Nikora
Mathematical Modeling of the Transmission of Foot And Mouth Disease Virus in Cloven-Hooved Animals.
title Mathematical Modeling of the Transmission of Foot And Mouth Disease Virus in Cloven-Hooved Animals.
title_full Mathematical Modeling of the Transmission of Foot And Mouth Disease Virus in Cloven-Hooved Animals.
title_fullStr Mathematical Modeling of the Transmission of Foot And Mouth Disease Virus in Cloven-Hooved Animals.
title_full_unstemmed Mathematical Modeling of the Transmission of Foot And Mouth Disease Virus in Cloven-Hooved Animals.
title_short Mathematical Modeling of the Transmission of Foot And Mouth Disease Virus in Cloven-Hooved Animals.
title_sort mathematical modeling of the transmission of foot and mouth disease virus in cloven hooved animals
topic Mathematical Modeling
Transmission
Foot
Mouth Disease Virus
Cloven-Hooved Animals
url http://hdl.handle.net/20.500.12493/1710
work_keys_str_mv AT mbasanikora mathematicalmodelingofthetransmissionoffootandmouthdiseasevirusinclovenhoovedanimals