Mathematical Model for Malaria Transmission and Chemical Control

Abstract

In this paper, we have studied the effect of insecticides for the control of vector borne diseases, like malaria. A non-linear SIS mathematical model for transmission of Malaria caused by infected mosquito population on susceptible human population and using chemicals to control the disease is proposed and analyzed 1-3. It is further assumed that susceptible human population become infected by direct contact with vector mosquitos . The mosquito population density is assumed to be governed by general logistic model. It is found that model exhibits three non-negative equilibria viz. mosquito and disease free equilibrium 0 E Mosquito persistence and disease free equilibrium 1 E and endemic equilibrium * E . The model is analyzed by using local and global stability theory of differential equations and numerical simulation 3, 4 .