VOLUME 5 NUMBER 2 (July to December 2012)

by Joel M. Addawe^1,* , Jose Ernie C. Lope²

¹Department of Mathematics and Computer Science, University of the Philippines Baguio²Institute of Mathematics, University of the Philippines Diliman

In this paper, we propose a model to study the dynamicsof malaria in an age-structured human host. Our modeldivides the human population into two compartments:pre-school (0-5 years) and the rest of the humanpopulation. The results of our mathematical analysisindicate that the disease-free equilibrium is asymptotically stableand occurs whenever the basic reproduction number R₀ is lessthan unity. For R₀ > 1, the disease-free equilibrium point isunstable. Using published demographic epidemiologicalparameters, our numerical simulations suggest that a unique,stable endemic equilibrium exists.