 |
Center for Nonlinear Studies |
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. We conduct sensitivity analysis of the reproductive number and endemic equilibrium to the parameters, allowing us to compare various control strategies to determine effective and efficient ways of combating malaria.
Host: Colm Connaughton