Asymptotic speed of spread for a nonlocal evolutionary-epidemic system
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | RIZK, Lara Abi | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BURIE, Jean-Baptiste | |
| hal.structure.identifier | Laboratoire de Mathématiques Appliquées du Havre [LMAH] | |
| dc.contributor.author | DUCROT, Arnaud | |
| dc.date.accessioned | 2024-04-04T02:35:57Z | |
| dc.date.available | 2024-04-04T02:35:57Z | |
| dc.date.issued | 2021 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190687 | |
| dc.description.abstractEn | We investigate spreading properties of solutions for a spatially distributed system of equations modelling the evolutionary epidemiology of plant-pathogen interactions. In this work the mutation process is described using a non-local convolution operator in the phenotype space. Initially equipped with a localized amount of infection, we prove that spreading occurs with a definite spreading speed that coincides with the minimal speed of the travelling wave solutions discussed in [1]. Moreover, the solution of the Cauchy problem asymptotically converges to some specific function for which the moving frame variable and the phenotype one are separated. | |
| dc.language.iso | en | |
| dc.publisher | American Institute of Mathematical Sciences | |
| dc.title.en | Asymptotic speed of spread for a nonlocal evolutionary-epidemic system | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.3934/dcds.2021064 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | Discrete & Continuous Dynamical Systems - A | |
| bordeaux.page | 4959 | |
| bordeaux.volume | 41 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 10 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-03943486 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03943486v1 | |
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