EFFECTS OF IMMMUNITY AND DRUGS RESISTANCE ON THE TRANSMISSION DYNAMICS OF TUBERCULOSIS

Authors

  • S. I. KAMARA Department of Mathematics, Faculty of Science, Gombe State University
  • E. E. TANTO Department of Mathematics, Faculty of Science, Gombe State University
  • A. SANDA Department of Mathematics, Faculty of Science, Gombe State University
  • A. AUDU Department of Mathematics, Faculty of Science, Gombe State University
  • CHAJIRE P. B Department of Mathematics, Faculty of Science, Gombe State University

Keywords:

Epidemiology, Tuberculosis, Drug, Resistance, Immunity, Dynamic

Abstract

SIER epidemiology model was modified to determine the effect of drug resistance and immunity
on the transmission dynamics of tuberculosis. We obtained the existence and uniqueness of the
solution of the model, the basic reproduction number . The disease-free equilibrium point was
determined and found to be locally asymptotically stable (LAS), when and globally
asymptotically stable (GAS), when unstable if otherwise. The endemic equilibrium was
also obtained and found to be locally asymptotically stable (LAS) when and globally
asymptotically stable (GAS), when . Numerical simulation carried out shows that there is
less infected population with the first line of treatment when there is no drug resistance.

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Published

2020-07-13

How to Cite

S. I. KAMARA, E. E. TANTO, A. SANDA, A. AUDU, & CHAJIRE P. B. (2020). EFFECTS OF IMMMUNITY AND DRUGS RESISTANCE ON THE TRANSMISSION DYNAMICS OF TUBERCULOSIS. BIMA JOURNAL OF SCIENCE AND TECHNOLOGY (2536-6041), 4(01), 32-45. Retrieved from https://journals.gjbeacademia.com/index.php/bimajst/article/view/163

Issue

Vol. 4 No. 01 (2020): Vol. 4 No. 1 July 2020

Section

Articles