Researcher

Resmawan

Types of research

Penelitian Mandiri

Source of funds

Mandiri

Abstract

Malaria is an infectious disease, transmitted between humans through mosquito bites, that kills about thousands of people every year. We present a system of ordinary di?erential equations for the spread of malaria in human and mosquito population. Susceptible humans can be infected when they are bitten by an infectious mosquito. They then progress through the exposed, infectious, and recovered classes, before reentering the susceptible class. Susceptible mosquitoes can become infected when they bite infectious or recovered humans, and once infected they move through the exposed and infectious classes. We de?ne a basic reproductive number, R_0, for the number of secondary cases that one infected individual will cause through the duration of the infectious period. We ?nd that the disease-free equilibrium is stable when R01.