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

Abstract 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.

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Publication Details

Journal
European Journal of Applied Mathematics
Published
2024-11-15
DOI
https://doi.org/10.1017/s0956792524000731
Citations
1
Primary Topic
Mathematical and Theoretical Epidemiology and Ecology Models
Type
article
Field-Weighted Citation Impact
0.54

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article

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

Hao Kang, Arnaud Ducrot
1 citations
European Journal of Applied Mathematics
Mathematical and Theoretical Epidemiology and Ecology Models
0.54
article

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

Hao Kang, Arnaud Ducrot
article en
1 citations

Abstract

Abstract 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.

European Journal of Applied MathematicsVol. 36(4)
Centre National de la Recherche Scientifique (FR), Tianjin University (CN), Normandie Université (FR), Laboratoire de Mathématiques Appliquées du Havre (FR)
National Natural Science Foundation of China
Good health and well-being
Openalex Percentile: Top 27%
Mathematical and Theoretical Epidemiology and Ecology Models
0.54
DOIOpen Access PDFOpenAlex
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