Analysis of age-structured malaria transmission model

Abstract

In this paper, we propose a model to study the dynamics of malaria in an age-structured human host. Our model divides the human population into two compartments: pre-school (0-5 years) and the rest of the human population. The results of our mathematical analysis indicate that the disease-free equilibrium is asymptotically stable and occurs whenever the basic reproduction number Ro is less than unity. For Ro> 1, the disease-free equilibrium point is unstable. Using published demographic epidemiological parameters, our numerical simulations suggest that a unique, stable endemic equilibrium exists.