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Event Type:

Applied Mathematics and Computation Seminar

Date/Time:

Friday, February 20, 2009 - 04:00

Location:

Gilkey 113

Event Link:

Abstract:

It has been shown that disease can modulate competition between multiple host species and can be a major factor in invasion by exotic species. We model and analyze the dynamics of multi-host communities using coupled systems of ordinary differential equations to understand how the forces of inter-specific infection and competition between multiple species infected by a single pathogen combine to allow invasion by exotic species. Specifically, we propose and analyze a model with Lotka-Volterra competition and Susceptible-Infected disease dynamics using both numerical and analytical methods. We analyze the case of full competition, which affects birth rates of species, combined with disease between species using both mass action and frequency incidence disease transmission. For the case of two species we analyze the disease free equilibrium for stability and for the case of disease transmission via frequency incidence we consider the stability of the endemic coexistence equilibrium. We also extend some threshold values to the case of multiple species.