Philippine Science Letters
vol. 5 | no. 2 | 2012
published online November 13, 2012


ARTICLE


Analysis of age-structured malaria transmission model


by Joel M. Addawe1,* , Jose Ernie C. Lope2


1Department of Mathematics and Computer Science, University of the Philippines Baguio 2Institute of Mathematics, University of the Philippines Diliman



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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 R0 is less than unity. For R0 > 1, the disease-free equilibrium point is unstable. Using published demographic epidemiological parameters, our numerical simulations suggest that a unique, stable endemic equilibrium exists.

*Corresponding author
Email Address:
jmaddawe@up.edu.ph
joel.addawe@gmail.com
Submitted: September 15, 2011
Revised: June 25, 2012
Accepted: July 30, 2012
Published: November 13, 2012
Editor-in-charge: Jose Ma. P. Balmaceda