Global Existence and internal stabilization for a reaction-diffusion system posed on non coincident spatial domains
| dc.contributor.author | ANITA, Sebastian | |
| dc.contributor.author | FITZGIBBON, W.E. | |
| 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 | 2024-04-04T02:40:54Z | |
| dc.date.available | 2024-04-04T02:40:54Z | |
| dc.date.issued | 2009-06-01 | |
| dc.identifier.issn | 1531-3492 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191101 | |
| dc.description.abstractEn | We consider a two-component Reaction-Diffusion system posed on non coincident spatial domains and featuring a reaction term involving an integral kernel. The question of global existence of componentwise nonnega- tive solutions is assessed. Then we investigate the stabilization of one of the solution components to zero via an internal control distributed on a small sub- domain while preserving nonnegativity of both components. Our results apply to predator-prey systems. | |
| dc.language.iso | en | |
| dc.publisher | American Institute of Mathematical Sciences | |
| dc.subject | Reaction-diffusion systems | |
| dc.subject | non coincident spatial domains | |
| dc.subject | global existence | |
| dc.subject | stabilization | |
| dc.subject | principal eigenvalue | |
| dc.subject | predator-prey model | |
| dc.title.en | Global Existence and internal stabilization for a reaction-diffusion system posed on non coincident spatial domains | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.3934/dcdsb.2009.11.xx | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | Discrete and Continuous Dynamical Systems - Series B | |
| bordeaux.page | 805-822 | |
| bordeaux.volume | 11 | |
| 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-00372932 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00372932v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Discrete%20and%20Continuous%20Dynamical%20Systems%20-%20Series%20B&rft.date=2009-06-01&rft.volume=11&rft.issue=4&rft.spage=805-822&rft.epage=805-822&rft.eissn=1531-3492&rft.issn=1531-3492&rft.au=ANITA,%20Sebastian&FITZGIBBON,%20W.E.&LANGLAIS,%20Michel&rft.genre=article |
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