Mathematical Modeling of Malaria Disease Transmission and Control

Abstract

Malaria is one of the diseases around the globe that have the ability to disorientate one's health, and is caused by a bite of a small vector-mosquito. In this paper, the classical model was modified by including the treated class. This new class helps us understand better how effective the control of the disease.The model is a four deterministic model expressed as a system of ordinary differential equations. The stability analysis of the disease free equilibrium point was conducted. It is also shown that the disease free equilibrium point is locally asymptotically stable if R₀<1and the system is unstable if R₀>1. Some numerical simulations are also given to explain the analytical results.