Mathematical Analysis of a Compartmental Model for Malaria

Abstract

Abstract In this thesis a mathematical model of malaria transmission has been studied, in which we not only considered the recovered humans return to the susceptible class, but also considered the recovered humans return to the infectious class. We explained some historical and biological concepts of the disease. Also we presented conditions for positivity and boundedness of solution. The existence of the disease-free equilibrium and endemic equilibrium points has been proved. The stability of equilibrium points are determined by next generation matrix method. The analytical results are explained numerically. From these results it is found that if we want control and eradicate the malaria, it is very necessary to decrease the relapse rate and increase the recovery rate.