Dynamics of malaria-dengue fever and its optimal control

Abstract

The mosquito-borne infectious diseases like malaria and dengue are putative asimportant tropical infections and cause high morbidity and mortality around theworld. In some cases, simultaneous coexistence of both the infections in oneindividual is seen which is very hard to distinguish as both diseases have almostsimilar symptoms. In this proposed article, dynamical system of non-lineardifferential equations is constructed with the help of mathematical modeling,which describe dynamics of the spread of these infectious diseases separately andconcurrently. Basic reproduction number is evaluated to understand dynamicalbehaviour of the model. Local and global stability criteria have been deliberatedrigorously. Control parameters are used to perceive effect of medication on theseprevalent tropical diseases. Numerical simulations are used to observe effect ofcontrol parameters graphically.