Optimal control analysis of a cholera disease transmission model in Tanzania

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dc.contributor.authorAinea, Neterindwa
dc.contributor.authorMatofali, Alex Xavery
dc.contributor.authorMkwizu, Michael
dc.date.accessioned2023-03-20T09:57:28Z
dc.date.available2023-03-20T09:57:28Z
dc.date.issued2018
dc.descriptionJournal articleen_US
dc.description.abstractIn this paper, a deterministic model with optimal control of cholera in Tanzania is proposed and analysed. Necessary conditions of optimal control problem were rigorously analysed using Pontryagin's maximum principle and the numerical values of model parameters were estimated using maximum likelihood estimator. Two control strategies were incorporated such as human education campaign and treatment of water (to reduce the growth of the organism) and its' impact were graphically observed. The goal is to minimize the spread of cholera disease in the community and to minimize the costs of control strategies. The results show that the effective use of optimal human education campaign and treatment of water has a significant impact in reducing the spread of the disease in the community.en_US
dc.identifier.citationNeterindwa Ainea et al. Int J S Res Sci. Engg. Tech. 2018 Mar-Apr;4(4) :865-872en_US
dc.identifier.issn2395-1990 (Print)
dc.identifier.issn2394-4099 (Online)
dc.identifier.urihttp://www.suaire.sua.ac.tz/handle/123456789/5030
dc.language.isoenen_US
dc.publisherIJSRSETen_US
dc.relation.ispartofseries;Volume 4 | Issue 4
dc.subjectModellingen_US
dc.subjectTreatmenten_US
dc.subjectOptimal controlen_US
dc.subjectEducation campaignen_US
dc.titleOptimal control analysis of a cholera disease transmission model in Tanzaniaen_US
dc.typeArticleen_US

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