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International Conference on Mathematical Biology and

Annual Meeting of The Society for Mathematical Biology,

July 27-30, 2009

University of British Columbia, Vancouver

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Program

MSG5a
Julien Arino
Department of Mathematics, University of Manitoba, Winnipeg, Manitoba, Canada
Title Metapopulation models - Applications to the spread of infectious diseases
Abstract Metapopulation models describe the spatio-temporal evolution of the number of individuals of various species in a set of spatial locations called patches. In each patch, a system of differential equations (ordinary, delayed or partial) or a stochastic process (Markov chain, branching process) describes the interactions between species. The patches are then connected to one another to account for the movement of individuals between them. I will present some general theory and results about this type of systems in the ordinary differential equations case. I will then discuss the use of such systems in the description of the spatio-temporal spread of infectious pathogens, giving examples of applications in the ordinary differential equations and in the stochastic cases.
LocationWoodward 5