(Department of Mathematics, University of Manitoba)
Some Mathematical Problems Arising In Models For The Spatio-Temporal Spread Of Infectious Pathogens
|Date||Friday, October 26, 2012|
I will discuss the spread of infectious pathogens in space and time, with the spread of SARS in 2003 and pandemic influenza in 2009 as case examples. I will also discuss the consequences of the coexistence of sometimes very different public health systems in an increasingly interconnected world. This will serve as a motivation for models for the spatio-temporal spread of infectious pathogens, of which I will present several examples. I will then focus on so-called metapopulation models, which are large systems of differential equations, and detail several interesting mathematical problems that arise when studying such systems.