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.