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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.creator Sabini, Theresia Shirima
dc.creator Nyerere, Nkuba
dc.creator Irunde, Jacob Ismail
dc.creator Kuznetsov, Dmitry
dc.date 2020-03-03T10:32:35Z
dc.date 2020-03-03T10:32:35Z
dc.date 2019-10
dc.date.accessioned 2022-10-25T09:15:49Z
dc.date.available 2022-10-25T09:15:49Z
dc.identifier 2454-8006
dc.identifier 10.31695/IJASRE.2019.33535
dc.identifier http://dspace.nm-aist.ac.tz/handle/123456789/588
dc.identifier.uri http://hdl.handle.net/123456789/94635
dc.description This research article published by the International Journal of Advances in Scientific Research and Engineering, Volume 5, Issue 10 October - 2019
dc.description 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.
dc.format application/pdf
dc.language en
dc.publisher International Journal of Advances in Scientific Research and Engineering (ijasre)
dc.subject Bovine tuberculosis
dc.subject Dairy products
dc.subject Mathematical model
dc.title Mathematical Model for the Transmission Dynamics of Bovine Tuberculosis in Human and Livestock with Control Strategies
dc.type Article


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