Mathematical and numerical analysis for Predator-prey system in a polluted environment
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BENDAHMANE, Mostafa | |
| dc.contributor.author | ANAYA, Veronica | |
| dc.contributor.author | SEPÚLVEDA, Mauricio | |
| dc.date.accessioned | 2024-04-04T03:22:16Z | |
| dc.date.available | 2024-04-04T03:22:16Z | |
| dc.date.created | 2010 | |
| dc.date.issued | 2010 | |
| dc.identifier.issn | 1556-1801 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194740 | |
| dc.description.abstractEn | In this paper, we prove existence results for a Predator-prey system in a polluted environment. The existence result is proved by the Schauder fixed-point theorem. Moreover, we construct a combined finite volume - finite element scheme to our model, we establish existence of discrete solutions to this scheme, and show that it converges to a weak solution. The convergence proof is based on deriving series of a priori estimates and using a general L^p compactness criterion. Finally we give some numerical examples. | |
| dc.language.iso | en | |
| dc.publisher | American Institute of Mathematical Sciences | |
| dc.title.en | Mathematical and numerical analysis for Predator-prey system in a polluted environment | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.3934/nhm.2010.5.813 | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| bordeaux.journal | Networks and Heterogeneous Media | |
| bordeaux.page | 813 - 847 | |
| bordeaux.volume | 5 | |
| 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-01015864 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01015864v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Networks%20and%20Heterogeneous%20Media&rft.date=2010&rft.volume=5&rft.issue=4&rft.spage=813%20-%20847&rft.epage=813%20-%20847&rft.eissn=1556-1801&rft.issn=1556-1801&rft.au=BENDAHMANE,%20Mostafa&ANAYA,%20Veronica&SEP%C3%9ALVEDA,%20Mauricio&rft.genre=article |
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