Modeling and qualitative analysis of malaria epidemiology

Abstract

We develop and analyze a mathematical model on malaria dynamics using ordinary differential equations, in order to investigate the effect of certain parameters on the transmission and spread of the disease. We introduce dimensionless variables for time, fraction of infected human and fraction of infected mosquito and solve the resulting system of ordinary differential equations numerically. Equilibrium points are established and stability criteria analyzed. The results reveal that the parameters play a crucial role in the interaction between human and infected mosquito.