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

Authors

  • Theresia Shirima Sabini School of Computational and Communication Science and Engineering, The Nelson Mandela African Institution of Science and Technology, P.O.Box 447, Arusha, Tanzania
  • Nkuba Nyerere Department of Mathematics, Informatics and Computational Sciences, Sokoine University of Agriculture, P.O.Box 3038 Morogoro, Tanzania
  • Jacob Ismail Irunde Department of Mathematics, Mkwawa University College of Education, P.O. Box 2513 Iringa, Tanzania
  • Dmitry Kuznetsov School of Computational and Communication Science and Engineering, The Nelson Mandela African Institution of Science and Technology, P.O.Box 447, Arusha, Tanzania

DOI:

https://doi.org/10.31695/IJASRE.2019.33535

Keywords:

Bovine tuberculosis, Dairy products, Mathematical model, Livestock.

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.

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How to Cite

Sabini, T. S. ., Nyerere, N. ., Irunde, J. I., & Kuznetsov, D. (2019). Mathematical Model for the Transmission Dynamics of Bovine Tuberculosis in Human and Livestock with Control Strategies. International Journal of Advances in Scientific Research and Engineering (IJASRE), ISSN:2454-8006, DOI: 10.31695/IJASRE, 5(10), 49–58. https://doi.org/10.31695/IJASRE.2019.33535

Issue

Vol. 5 No. 10 (2019): Volume 5 Issue 10 Oct (2019)

Section

Articles

License

Copyright (c) 2019 Theresia Shirima Sabini, Nkuba Nyerere, Jacob Ismail Irunde, Dmitry Kuznetsov

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.