Global weak solution for a multi-stage physiologically structured population model with resource interaction
| hal.structure.identifier | Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS] | |
| dc.contributor.author | AYLAJ, Bouchra | |
| hal.structure.identifier | Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | NOUSSAIR, Ahmed | |
| dc.date.accessioned | 2024-04-04T02:36:52Z | |
| dc.date.available | 2024-04-04T02:36:52Z | |
| dc.date.created | 2009-03-27 | |
| dc.date.issued | 2009-03-27 | |
| dc.identifier.issn | 1468-1218 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190755 | |
| dc.description.abstractEn | We construct a multistage kinetic model of a physiologically structured insect population whose life history consists of fourth stages of development termed eggs, larval, pupal and adult moth (male and female). The model is a system of weakly coupled hyperbolic partial differential equations with nonlocal boundary conditions. The vital rates depend on the resource which satisfy an ordinary differential equation. We discretize the physiological space and formulate an implicit scheme and we prove the existence and uniqueness of the solution. The numerical simulation provides an analytical tool to improve the understanding of the moth's biology | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.subject.en | Population dynamics | |
| dc.subject.en | Kinetic models | |
| dc.subject.en | Age structured population | |
| dc.subject.en | Fully implicit scheme | |
| dc.subject.en | Stability | |
| dc.subject.en | Helly-compactness | |
| dc.title.en | Global weak solution for a multi-stage physiologically structured population model with resource interaction | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1016/j.nonrwa.2009.03.021 | |
| dc.subject.hal | Statistiques [stat]/Calcul [stat.CO] | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| bordeaux.journal | Nonlinear Analysis: Real World Applications | |
| bordeaux.page | in press | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00391753 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00391753v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Nonlinear%20Analysis:%20Real%20World%20Applications&rft.date=2009-03-27&rft.spage=in%20press&rft.epage=in%20press&rft.eissn=1468-1218&rft.issn=1468-1218&rft.au=AYLAJ,%20Bouchra&NOUSSAIR,%20Ahmed&rft.genre=article |
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