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A reaction-diffusion system with cross-diffusion modelling the spread of an epidemic disease
| hal.structure.identifier | Centro de Investigación en Ingeniería Matemática [Concepción] [CI²MA] | |
| dc.contributor.author | BENDAHMANE, Mostafa | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS] | |
| dc.contributor.author | LANGLAIS, Michel | |
| dc.date.accessioned | 2024-04-04T02:28:05Z | |
| dc.date.available | 2024-04-04T02:28:05Z | |
| dc.date.issued | 2010 | |
| dc.identifier.issn | 1424-3199 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190069 | |
| dc.description.abstractEn | We provide existence results for nonnegative solutions to a class of reaction-diffusion systems with cross-diffusion modeling the spread of an epidemic disease. The existence of weak solutions is proved by means of an approximation process, the Faedo-Galerkin method, and a compactness argument. Under additional assumptions a global existence result for classical solutions is derived upon using interpolation results between Banach spaces. | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.subject.en | S-I-R model | |
| dc.subject.en | cross-diffusion system | |
| dc.subject.en | weak solutions | |
| dc.subject.en | Faedo-Galerkin | |
| dc.subject.en | classical solution | |
| dc.title.en | A reaction-diffusion system with cross-diffusion modelling the spread of an epidemic disease | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s00028-010-0074-y | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | Journal of Evolution Equations | |
| bordeaux.page | 883-904 | |
| bordeaux.volume | 10 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 4 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00541283 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00541283v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Evolution%20Equations&rft.date=2010&rft.volume=10&rft.issue=4&rft.spage=883-904&rft.epage=883-904&rft.eissn=1424-3199&rft.issn=1424-3199&rft.au=BENDAHMANE,%20Mostafa&LANGLAIS,%20Michel&rft.genre=article |
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