WILLIAM FITZGIBBON
	"DESTOBIO 2000" August 23-27, 2000 West Lafayette, Indiana, USA

"Spatially Heterogeneous Epidemic Models"

ABSTRACT: We shall be concerned with systems of partial diffential equations modeling the circulation of infectious disease among populations in highly heterogeneous habitats. Standard reaction diffusion models are often used to describe the spatial spread of a disease. These models certainly account for spatial distribution but do not factor in any hetergeneity of the habitat. We shall discuss methods of accounting for a high degree of spatial heterogeneity in the habitat and discuss the mathematical challenges resulting from the incorporation of these features. We shall also discuss the use of a structural age variable to track the progression of the phases of the disease.

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