Long time behavior of a PDE model for invasive species control

Handle URI:
http://hdl.handle.net/10754/334622
Title:
Long time behavior of a PDE model for invasive species control
Authors:
Parshad, R.D.
Abstract:
The Trojan Y Chromosome strategy (TYC) is a theoretical method for eradication of invasive species. It requires constant introduction of artificial individuals into a target population, causing a shift in the sex ratio, that ultimately leads to local extinction. In this work we consider a modified version of the TYC system. We first demonstrate the existence of a unique weak solution to the system. Furthermore, we prove the existence of a compact finite dimensional global attractor for the modified system, in L 2(Ω) × L 2(Ω)× L 2(Ω).
KAUST Department:
Applied Mathematics and Computational Science Program
Publisher:
Hikari
Journal:
International Journal of Mathematical Analysis
Issue Date:
2011
Type:
Article
ISSN:
1312-8876
Appears in Collections:
Articles; Applied Mathematics and Computational Science Program

Full metadata record

DC FieldValue Language
dc.contributor.authorParshad, R.D.en
dc.date.accessioned2014-11-11T14:32:27Z-
dc.date.available2014-11-11T14:32:27Z-
dc.date.issued2011en
dc.identifier.issn1312-8876en
dc.identifier.urihttp://hdl.handle.net/10754/334622en
dc.description.abstractThe Trojan Y Chromosome strategy (TYC) is a theoretical method for eradication of invasive species. It requires constant introduction of artificial individuals into a target population, causing a shift in the sex ratio, that ultimately leads to local extinction. In this work we consider a modified version of the TYC system. We first demonstrate the existence of a unique weak solution to the system. Furthermore, we prove the existence of a compact finite dimensional global attractor for the modified system, in L 2(Ω) × L 2(Ω)× L 2(Ω).en
dc.language.isoenen
dc.publisherHikarien
dc.rightsArticles and books published by Hikari Ltd appear under the Creative Commons Attribution License and can be reused and redistributed as long as they are correctly attributed. Authors are allowed to deposit and archive the published PDF of their articles and books into bibliographic databases and university/institutional repositories without any embargo periods.en
dc.rightsArchived with thanks to International Journal of Mathematical Analysisen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectGlobal attractoren
dc.subjectInvasive speciesen
dc.subjectLong time dynamicsen
dc.subjectPopulation dynamicsen
dc.titleLong time behavior of a PDE model for invasive species controlen
dc.typeArticleen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.identifier.journalInternational Journal of Mathematical Analysisen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
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