Mathematical modeling of HIV and Malaria co-infection dynamics

Abstract

We formulate a mathematical mo del using system of differential equations to understand the co-dynamics of two diseases HIV and Malaria. The entire human p opulation is divided into four compartments and mosquito p opulation into two. The mo del is analys ed and steady state conditions are derived. It is shown that the disease free equilibrium is lo cally stable and globally unstable if the basic repro duction numb er R 0 is less than unity.Numerical sensitivity analysis show that R 0 is most sensitive to β1 and Λ h,the contact rate of of susceptible humans with HIV infected individuals and recruitment rate into susceptible population.