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Mathematical Model for the Transmission Dynamics of Bovine Tuberculosis in Human and Livestock with Control Strategies

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dc.contributor.author Sabini, Theresia Shirima
dc.contributor.author Nyerere, Nkuba
dc.contributor.author Irunde, Jacob Ismail
dc.contributor.author Kuznetsov, Dmitry
dc.date.accessioned 2020-03-03T10:32:35Z
dc.date.available 2020-03-03T10:32:35Z
dc.date.issued 2019-10
dc.identifier.issn 2454-8006
dc.identifier.uri 10.31695/IJASRE.2019.33535
dc.identifier.uri http://dspace.nm-aist.ac.tz/handle/123456789/588
dc.description This research article published by the International Journal of Advances in Scientific Research and Engineering, Volume 5, Issue 10 October - 2019 en_US
dc.description.abstract A deterministic mathematical model for bovine tuberculosis (bovine TB) in humans and livestock is formulated and used to assess the effectiveness of dairy products inspection, human treatment and quarantine of infected livestock as the control of the disease transmission. The computed effective reproduction number shows that the disease can be cleared from the population if Re is less than unity and it persists if Re is greater than unity. It means that if Re<1 the disease-free equilibrium is asymptotically stable which means the disease can be cleared from the population and endemic when Re>1 which implies the disease persists in the population. Numerical analysis was carried out to investigate how the controls can help to minimize the spread of the disease. en_US
dc.language.iso en en_US
dc.publisher International Journal of Advances in Scientific Research and Engineering (ijasre) en_US
dc.subject Bovine tuberculosis en_US
dc.subject Dairy products en_US
dc.subject Mathematical model en_US
dc.title Mathematical Model for the Transmission Dynamics of Bovine Tuberculosis in Human and Livestock with Control Strategies en_US
dc.type Article en_US


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