American Institute of Mathematical Sciences

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January  1995, 1(1): 35-57. doi: 10.3934/dcds.1995.1.35

Diffusive epidemic models with spatial and age dependent heterogeneity

W. E. Fitzgibbon 1, , M.E. Parrott 2, and  Glenn Webb 3,

1. 

Department of Mathematics, University of Houston, Houston, Texas, 77204-3476, United States
2. 

University of South Florida, United States
3. 

Department of Mathematics, Vanderbilt University, 1326 Stevenson Center, Nashville, TN 37240, United States

Received  July 1994 Published  December 1994

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.
Keywords: semilinear parabolic systems., diffusion processes, disease within infected individuals, infection-age structure.
Mathematics Subject Classification: 35K10, 92B0.
Citation: W. E. Fitzgibbon, M.E. Parrott, Glenn Webb. Diffusive epidemic models with spatial and age dependent heterogeneity. Discrete & Continuous Dynamical Systems - A, 1995, 1 (1) : 35-57. doi: 10.3934/dcds.1995.1.35
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