Diffusive epidemic models with spatial and age dependent heterogeneity

W. E. Fitzgibbon; M.E. Parrott; Glenn Webb

doi:10.3934/dcds.1995.1.35

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1995, Volume 1, Issue 1: 35-57. Doi: 10.3934/dcds.1995.1.35

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Diffusive epidemic models with spatial and age dependent heterogeneity

1.
Department of Mathematics, University of Houston, Houston, Texas, 77204-3476
2.
University of South Florida
3.
Department of Mathematics, Vanderbilt University, 1326 Stevenson Center, Nashville, TN 37240

Received: June 30, 1994

Published: December 1994

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Abstract

An epidemic model is analyzed which allows for the spatial spread of individuals within a geographical region and the incubation of the disease within infected individuals. The spatial spread of the disease is modelled by diffusion processes. The incubation period of infectives is modelled by infection-age structure. Results are established which provide qualitative prediction of the development of the epidemic in terms of spatially dependent and age dependent parameters.

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Mathematics Subject Classification: 35K10, 92B05.

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