A SATURATED TREATMENT MODEL FOR THE TRANSMISSION DYNAMICS OF RABIES

A. A. Ayoade¹, O. J. Peter², T. A. Ayoola³, S Amadiegwu⁴, A. A, Victor⁵

^1,2,5Department of Mathematics, University of Ilorin, Ilorin, Kwara State, Nigeria
³Department of Mathematical Sciences, Osun state University, Oshogbo, Osun State, Nigeria
⁴Department of Mathematics, School of General Studies, Maritime Academy of Nigeria State Nigeria.
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ABSTRACT

Rabies is a viral disease that claims about 59 000 lives globally every year. The ignorance of the fact that man can be a carrier of the disease makes every practical and theoretical approach towards the study of the disease a good development. In this work, a mathematical model is designed to incorporate a saturated incidence rate such that the incidence rate is saturated around the infectious agents. The model is studied qualitatively via stability theory of nonlinear differential equations to assess the effects of general awareness, constant vaccination and the saturated treatment on the transmission dynamics of rabies disease. The effective reproduction number is derived and the numerical simulation is carried out to verify the analytical results. It is discovered that while general awareness plays pivotal roles in averting rabies death, multiple control measures have the tendency of driving rabies to extinction.

Keywords: Rabies, Stability Theory, Reproduction Number, Simulation.

Published On: 20 June 2019

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