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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| Format: | Article |
| Language: | English |
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Cambridge University Press
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| Series: | European Journal of Applied Mathematics |
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| Online Access: | https://www.cambridge.org/core/product/identifier/S0956792524000731/type/journal_article |
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| author | Arnaud Ducrot Hao Kang |
| author_facet | Arnaud Ducrot Hao Kang |
| author_sort | Arnaud Ducrot |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-77cd39b34cb54549b33b00b50b7b696b |
| institution | Kabale University |
| issn | 0956-7925 1469-4425 |
| language | English |
| publisher | Cambridge University Press |
| record_format | Article |
| series | European Journal of Applied Mathematics |
| spelling | doaj-art-77cd39b34cb54549b33b00b50b7b696b2024-11-15T06:49:07ZengCambridge University PressEuropean Journal of Applied Mathematics0956-79251469-442512310.1017/S0956792524000731Travelling wave solutions and spreading speeds for a scalar age-structured equation with nonlocal diffusionArnaud Ducrot0Hao Kang1Normandie Univ, UNIHAVRE, LMAH, FR-CNRS-3335, ISCN, Le Havre, FranceCenter for Applied Mathematics, Tianjin University, Tianjin, ChinaIn 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.https://www.cambridge.org/core/product/identifier/S0956792524000731/type/journal_articleAge structurenonlocal diffusiontravelling wave solutionsspreading speeds35K5535C0745G1092D30 |
| spellingShingle | Arnaud Ducrot Hao Kang Travelling wave solutions and spreading speeds for a scalar age-structured equation with nonlocal diffusion European Journal of Applied Mathematics Age structure nonlocal diffusion travelling wave solutions spreading speeds 35K55 35C07 45G10 92D30 |
| title | Travelling wave solutions and spreading speeds for a scalar age-structured equation with nonlocal diffusion |
| title_full | Travelling wave solutions and spreading speeds for a scalar age-structured equation with nonlocal diffusion |
| title_fullStr | Travelling wave solutions and spreading speeds for a scalar age-structured equation with nonlocal diffusion |
| title_full_unstemmed | Travelling wave solutions and spreading speeds for a scalar age-structured equation with nonlocal diffusion |
| title_short | Travelling wave solutions and spreading speeds for a scalar age-structured equation with nonlocal diffusion |
| title_sort | travelling wave solutions and spreading speeds for a scalar age structured equation with nonlocal diffusion |
| topic | Age structure nonlocal diffusion travelling wave solutions spreading speeds 35K55 35C07 45G10 92D30 |
| url | https://www.cambridge.org/core/product/identifier/S0956792524000731/type/journal_article |
| work_keys_str_mv | AT arnaudducrot travellingwavesolutionsandspreadingspeedsforascalaragestructuredequationwithnonlocaldiffusion AT haokang travellingwavesolutionsandspreadingspeedsforascalaragestructuredequationwithnonlocaldiffusion |