Travelling wave solutions and spreading speeds for a scalar age-structured equation with nonlocal diffusion

In this paper, we study the existence of travelling wave solutions and the spreading speed for the solutions of an age-structured epidemic model with nonlocal diffusion. Our proofs make use of the comparison principles both to construct suitable sub/super-solutions and to prove the regularity of tra...

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Bibliographic Details
Main Authors: Arnaud Ducrot, Hao Kang
Format: Article
Language:English
Published: Cambridge University Press
Series:European Journal of Applied Mathematics
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S0956792524000731/type/journal_article
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Summary:In this paper, we study the existence of travelling wave solutions and the spreading speed for the solutions of an age-structured epidemic model with nonlocal diffusion. Our proofs make use of the comparison principles both to construct suitable sub/super-solutions and to prove the regularity of travelling wave solutions.
ISSN:0956-7925
1469-4425