2004 Conference on Diff. Eqns. and Appl. in Math. Biology, Nanaimo, BC, Canada.
Electron. J. Diff. Eqns., Conference 12, 2005, pp. 29-37.

Age of infection in epidemiology models

Fred Brauer

Abstract:
Disease transmission models in which infectivity depends on the time since infection are of importance in studying such diseases as HIV/AIDS. They also provide a means of unifying models with exposed stages or temporary immunity. We formulate a general age of infection model and carry out a partial analysis. There are open questions in the analysis of the characteristic equation at an endemic equilibrium.

Published April 20, 2005.
Math Subject Classifications: 92D30.
Key Words: Epidemic; age of infection; endemic equilibria.

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Fred Brauer
Department of Mathematics
University of British Columbia
Vancouver, BC, V6T 1Z2, Canada
email: brauer@math.ubc.ca

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