A reaction–diffusion system modeling predator–prey with prey-taxis
| 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 | NOUSSAIR, Ahmed | |
| 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 | AINSEBA, Bedr'Eddine | |
| hal.structure.identifier | Centro de Investigación en Ingeniería Matemática [Concepción] [CI²MA] | |
| dc.contributor.author | BENDAHMANE, Mostafa | |
| dc.date.accessioned | 2024-04-04T02:36:51Z | |
| dc.date.available | 2024-04-04T02:36:51Z | |
| dc.date.issued | 2008-12-04 | |
| dc.identifier.issn | 1468-1218 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190753 | |
| dc.description.abstractEn | We are concerned with a system of nonlinear partial differential equations modeling the Lotka–Volterra interactions of predators and preys in the presence of prey-taxis and spatial diffusion. The spatial and temporal variations of the predator's velocity are determined by the prey gradient. We prove the existence of weak solutions by using Schauder fixed-point theorem and uniqueness via duality technique. The linearized stability around equilibrium is also studied. A finite volume scheme is build and numerical simulation show interesting phenomena of pattern formation. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.subject.en | Reaction–diffusion system | |
| dc.subject.en | Predator–prey | |
| dc.subject.en | Prey-taxis | |
| dc.subject.en | Finite volume scheme | |
| dc.title.en | A reaction–diffusion system modeling predator–prey with prey-taxis | |
| dc.type | Article de revue | |
| dc.subject.hal | Statistiques [stat]/Calcul [stat.CO] | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | Nonlinear Analysis: Real World Applications | |
| bordeaux.page | 2086-2105 | |
| bordeaux.volume | 9 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 5 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00391778 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00391778v1 | |
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