Outbreak and control of Foot and Mouth Disease within and across adjacent districts—A mathematical perspective

In this study, we formulate a mathematical model for Foot and Mouth Disease (FMD) within and across two adjacent districts and use it to calculate the impact and cost effectiveness of vaccination and/ or quarantine in controlling this infection. The basic properties of the model are established and...

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Autores principales:	Ivan Sseguya, Joseph Y.T. Mugisha, Betty Nannyonga
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2022
Materias:	Foot and Mouth Disease Vaccination Optimal control Incremental cost effectiveness ratio Equilibrium state Applied mathematics. Quantitative methods T57-57.97
Acceso en línea:	https://doaj.org/article/1aa0248fccd24491996b77963071e1f3
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spelling	oai:doaj.org-article:1aa0248fccd24491996b77963071e1f32021-12-04T04:36:25ZOutbreak and control of Foot and Mouth Disease within and across adjacent districts—A mathematical perspective2666-720710.1016/j.rico.2021.100074https://doaj.org/article/1aa0248fccd24491996b77963071e1f32022-03-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2666720721000424https://doaj.org/toc/2666-7207In this study, we formulate a mathematical model for Foot and Mouth Disease (FMD) within and across two adjacent districts and use it to calculate the impact and cost effectiveness of vaccination and/ or quarantine in controlling this infection. The basic properties of the model are established and reproduction numbers for single district and two adjacent districts obtained. Steady states are examined and found to be both locally and globally stable. The model is transformed into an optimal control problem by incorporating time dependent controls to obtain the best strategy in controlling FMD among the cattle population. From numerical simulations, simultaneous implementation of vaccination with movement restriction is the most effective strategy in control and eventual eradication of FMD from cattle population. Further more, sole implementation of movement restriction across two adjacent and simultaneously infected districts is found to be ineffective in controlling FMD. However, using Incremental Cost Effectiveness Ratio analysis, it was determined that sole implementation of vaccination in both district one and two upon an FMD outbreak is the most cost-effective strategy to control and eventually eradicate FMD.Ivan SseguyaJoseph Y.T. MugishaBetty NannyongaElsevierarticleFoot and Mouth DiseaseVaccinationOptimal controlIncremental cost effectiveness ratioEquilibrium stateApplied mathematics. Quantitative methodsT57-57.97ENResults in Control and Optimization, Vol 6, Iss , Pp 100074- (2022)
institution	DOAJ
collection	DOAJ
language	EN
topic	Foot and Mouth Disease Vaccination Optimal control Incremental cost effectiveness ratio Equilibrium state Applied mathematics. Quantitative methods T57-57.97
spellingShingle	Foot and Mouth Disease Vaccination Optimal control Incremental cost effectiveness ratio Equilibrium state Applied mathematics. Quantitative methods T57-57.97 Ivan Sseguya Joseph Y.T. Mugisha Betty Nannyonga Outbreak and control of Foot and Mouth Disease within and across adjacent districts—A mathematical perspective
description	In this study, we formulate a mathematical model for Foot and Mouth Disease (FMD) within and across two adjacent districts and use it to calculate the impact and cost effectiveness of vaccination and/ or quarantine in controlling this infection. The basic properties of the model are established and reproduction numbers for single district and two adjacent districts obtained. Steady states are examined and found to be both locally and globally stable. The model is transformed into an optimal control problem by incorporating time dependent controls to obtain the best strategy in controlling FMD among the cattle population. From numerical simulations, simultaneous implementation of vaccination with movement restriction is the most effective strategy in control and eventual eradication of FMD from cattle population. Further more, sole implementation of movement restriction across two adjacent and simultaneously infected districts is found to be ineffective in controlling FMD. However, using Incremental Cost Effectiveness Ratio analysis, it was determined that sole implementation of vaccination in both district one and two upon an FMD outbreak is the most cost-effective strategy to control and eventually eradicate FMD.
format	article
author	Ivan Sseguya Joseph Y.T. Mugisha Betty Nannyonga
author_facet	Ivan Sseguya Joseph Y.T. Mugisha Betty Nannyonga
author_sort	Ivan Sseguya
title	Outbreak and control of Foot and Mouth Disease within and across adjacent districts—A mathematical perspective
title_short	Outbreak and control of Foot and Mouth Disease within and across adjacent districts—A mathematical perspective
title_full	Outbreak and control of Foot and Mouth Disease within and across adjacent districts—A mathematical perspective
title_fullStr	Outbreak and control of Foot and Mouth Disease within and across adjacent districts—A mathematical perspective
title_full_unstemmed	Outbreak and control of Foot and Mouth Disease within and across adjacent districts—A mathematical perspective
title_sort	outbreak and control of foot and mouth disease within and across adjacent districts—a mathematical perspective
publisher	Elsevier
publishDate	2022
url	https://doaj.org/article/1aa0248fccd24491996b77963071e1f3
work_keys_str_mv	AT ivansseguya outbreakandcontroloffootandmouthdiseasewithinandacrossadjacentdistrictsamathematicalperspective AT josephytmugisha outbreakandcontroloffootandmouthdiseasewithinandacrossadjacentdistrictsamathematicalperspective AT bettynannyonga outbreakandcontroloffootandmouthdiseasewithinandacrossadjacentdistrictsamathematicalperspective
_version_	1718372897083359232

Outbreak and control of Foot and Mouth Disease within and across adjacent districts—A mathematical perspective

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