Existence and uniqueness for a kinetic model of population dynamics with character dependence and spatial structure
| 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 | |
| dc.date.accessioned | 2024-04-04T02:36:49Z | |
| dc.date.available | 2024-04-04T02:36:49Z | |
| dc.date.issued | 2003-01-20 | |
| dc.identifier.issn | 0022-0396 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190750 | |
| dc.description.abstractEn | this work, we consider a one species population dynamics model with character dependence, spatial structure and a nonlocal renewal process arising as a boundary condition. The individual interaction are based on Boltzmann kinetic-type modeling. Using fixed point arguments and the div-rot lemma, we prove that our model admits a unique global nonnegative solution. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.subject.en | Population dynamics | |
| dc.subject.en | Diffusion | |
| dc.subject.en | Kinetic models | |
| dc.subject.en | Nonlocal boundary conditions | |
| dc.subject.en | Quadratic integro-differential interactions | |
| dc.title.en | Existence and uniqueness for a kinetic model of population dynamics with character dependence and spatial structure | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1016/S0022-0396(02)00082-7 | |
| dc.subject.hal | Statistiques [stat]/Calcul [stat.CO] | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | Journal of Differential Equations | |
| bordeaux.page | 293-309 | |
| bordeaux.volume | 187 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 2 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00391835 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00391835v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Differential%20Equations&rft.date=2003-01-20&rft.volume=187&rft.issue=2&rft.spage=293-309&rft.epage=293-309&rft.eissn=0022-0396&rft.issn=0022-0396&rft.au=NOUSSAIR,%20Ahmed&AINSEBA,%20Bedr'Eddine&rft.genre=article |
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