Mathematical Model for the Transmission Dynamics of Bovine Tuberculosis in Human and Livestock with Control Strategies
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Date
2019-10
Authors
Sabini, Theresia Shirima
Nyerere, Nkuba
Irunde, Jacob Ismail
Kuznetsov, Dmitry
Journal Title
Journal ISSN
Volume Title
Publisher
International Journal of Advances in Scientific Research and Engineering (ijasre)
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.
Sustainable Development Goals
This research article published by the International Journal of Advances in Scientific Research and Engineering, Volume 5, Issue 10 October - 2019
Keywords
Bovine tuberculosis, Dairy products, Mathematical model