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

A. Ducrot; P. Magal

doi:10.1017/S0308210507000455

Abstract

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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.

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

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