PSA 107, friday October 21st 2005, 3.40p.m

Speaker:Nakul Chitnis ,
Program in Applied Mathematics ,
University of Arizona

Title:Using mathematical models in controlling the spread of Malaria

Abstract:Malaria is an infectious disease responsible for about two million deaths a year. We model the transmission of
malaria through ordinary differential equations where humans and mosquitoes interact and infect each other. The model allows both populations to dynamically change size through birth and death, with humans having additional disease-induced death and immigration.
We present an analysis of this model, including the definition of a reproductive number and a proof of the existence of endemic states.These results allow us to compare various control strategies to determine effective and efficient ways of combating malaria.