MATHEMATICAL ANALYSIS FOR DYNAMICAL SPREAD OF MALARIA IN THE POPULATION WITH CONTROLLING MEASURES

Abstract

A system of differential equation approach was used to model the dynamical spread of malaria where humans and vectors interact and infect each other. Positivity of solution showed that there exists a domain where the model is epidemiologically and mathematically well-posed. The basic reproduction number R0 < 1 shows that disease can be controlled in the environment, otherwise the disease persist and become endemic whenever R0 > 1. Also, the numerical analysis performed shows that the most effective strategies for controlling malaria is to reduce the vector biting rate and increased the human treatment.