Some remarks on a singular reaction-diffusion system arising in predator-prey modeling
| hal.structure.identifier | Unité de biométrie et intelligence artificielle de Jouy [MIA-JOUY] | |
| dc.contributor.author | GAUCEL, Sébastien | |
| hal.structure.identifier | Université de Bordeaux Ségalen [Bordeaux 2] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | LANGLAIS, Michel | |
| dc.date.accessioned | 2024-04-04T02:53:45Z | |
| dc.date.available | 2024-04-04T02:53:45Z | |
| dc.date.issued | 2007 | |
| dc.date.conference | 2005-07-11 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192206 | |
| dc.description.abstractEn | This note is dedicated to the question of global existence for solutions to a two component singular system of reaction-diffusion equations modeling predator-prey interactions in insular environments. Depending on a 2D parameter space, positive orbits of the underlying ODE system undergo interesting dynamics, e.g., finite time existence and global existence may coexist. These results are partially extended to the reaction-diffusion system in the case of identical diffusivities. Our analysis relies on an auxiliary non singular reaction-diffusion system whose solutions may or may not blow up in finite time. Numerical simulations illustrate our analysis, including a numerical evidence of spatio-temporal oscillations. | |
| dc.language.iso | en | |
| dc.publisher | AIMS - American Institute of Mathematical Sciences | |
| dc.publisher.location | Springfield (united states) | |
| dc.source.title | Discrete and Continuous Dynamical Systems. Series B | |
| dc.subject | oscillations | |
| dc.subject.en | Global existence | |
| dc.subject.en | blow-up time | |
| dc.subject.en | singular reaction-diffusion systems | |
| dc.subject.en | predator-prey model in insular environment | |
| dc.subject.en | invasion and persistence | |
| dc.title.en | Some remarks on a singular reaction-diffusion system arising in predator-prey modeling | |
| dc.type | Communication dans un congrès | |
| dc.identifier.doi | 10.3934/dcdsb.2007.8.61 | |
| dc.subject.hal | Statistiques [stat]/Théorie [stat.TH] | |
| bordeaux.volume | 8 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.conference.title | International Workshop on Differential Equations in Mathematical Biology | |
| bordeaux.country | FR | |
| bordeaux.title.proceeding | Discrete and Continuous Dynamical Systems. Series B | |
| bordeaux.conference.city | Le Havre | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02758401 | |
| hal.version | 1 | |
| hal.invited | oui | |
| hal.conference.end | 2005-07-13 | |
| hal.popular | non | |
| hal.audience | Nationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02758401v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.btitle=Discrete%20and%20Continuous%20Dynamical%20Systems.%20Series%20B&rft.date=2007&rft.volume=8&rft.issue=1&rft.au=GAUCEL,%20S%C3%A9bastien&LANGLAIS,%20Michel&rft.genre=unknown |
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