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Travelling wave solutions for an infection-age structured model with diffusion

Published online by Cambridge University Press:  26 May 2009

A. Ducrot  and
P. Magal
A. Ducrot
Affiliation:
UMR CNRS 5251 IMB et INRIA Sud Ouest Anubis, Université de Bordeaux, 146 rue Léo Saignat, 33076 Bordeaux, France
P. Magal
Affiliation:
Laboratoire de Mathématiques Appliquées du Havre, Université du Havre, 25 rue Philippe Lebon, 76058 Le Havre, France ([email protected])
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Abstract

In this article, we study the existence of travelling waves for a class of epidemic models structured in space and with respect to the age of infection. We obtain a necessary and sufficient condition for the existence of travelling waves for such a class of problems. As a consequence of our main result, we also derive the existence of travelling waves of a class of functional partial derivative equations.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 139 , Issue 3 , June 2009 , pp. 459 - 482
Copyright
Copyright © Royal Society of Edinburgh 2009

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