Mathematical Assessment on the Impact of Insecticide Treated Net on the Dynamics of Malaria Transmission Using Non Linear Mathematical Model

Abstract

Malaria remains a major threat in many part of the tropical and subtropical region of the world, even though significant effort have been implemented with the used of Insecticide-treated net, the disease remains chronic.  In this work, we used nonlinear mathematical model to study the transmission dynamics of malaria disease. An insecticide- treated net control strategy was incorporated, using system of ordinary differential equations, A basic reproduction number was determine from the disease free equilibrium (DFE)  and it was found that, the model is locally asymptotically stable when the associated reproduction number is less than unity. Numerical simulation was carried out and findings were displayed graphically. It was found that insecticide -treated net has a significant impact on malaria transmission.