Asian Research Journal of Mathematics

Stability Analysis of the Disease Free Equilibrium of Malaria, Dengue and Typhoid Triple Infection Model

T. J. Oluwafemi *

Department of General Studies, Newgate College of Health Technology, Minna, Niger State, Nigeria.

E. Azuaba

Department of Mathematics, Bingham University Karu, Nassarawa State, Nigeria.

Y. M. Kura

Department of Mathematics, Federal Polytechnic Nasarawa, Nasarawa State, Nigeria.

*Author to whom correspondence should be addressed.

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Abstract

A Mathematical model of a system of non-linear differential equation is developed to study the transmission dynamics of malaria, dengue and typhoid triple infection. In this work, the basic reproduction number is derived using the Next Generation Matrix, also we computed the disease free equilibrium point. The disease free equilibrium (DFE) point is analyzed and was found that the DFE is locally stable but may be globally unstable when R_{0 < 1.}

Keywords: Malaria, dengue, typhoid, co-infection, reproduction number, stability analysis, disease-free equilibrium.

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