A MATHEMATICAL MODEL OF TRANSMISSION OF PLASMODIUM VIVAX MALARIA WITH A CONSTANT TIME DELAY FROM INFECTION TO INFECTIOUS

This research is focused on a continuous epidemic model of transmission of Plasmodium vivax malaria with a time delay. The model is represented as a system of ordinary differential equations with delay. There are two equilibria, which are the disease-free state and the endemic equilibrium, depending on the basic reproduction number, R-0, which is calculated and decreases with the time delay. Moreover, the disease-free equilibrium is locally asymptotically stable if R-0 < 1. If R-0 > 1, a unique endemic steady state exists and is locally stable. Furthermore, Hopf bifurcation is applied to determine the conditions for periodic solutions.