Persistent Link:
http://hdl.handle.net/10150/289042
Title:
A dispersal model for structured populations
Author:
Alzoubi, Maref Yousef
Issue Date:
1999
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
We study a model for a structured population with a two-phase life cycle. Growth and reproduction occur during the first phase. The first phase is followed by a dispersal phase in which individuals are allowed to move throughout a habitat. We study the extinction and survival of the population from the bifurcation point of view. We prove the existence of positive equilibria and analyze their asymptotic stability near the extinction equilibria, relating it to the direction of bifurcation. Finally we investigate the spectrum of the branch of positive solutions.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Mathematics.
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Graduate College; Mathematics
Degree Grantor:
University of Arizona
Advisor:
Cushing, Jim

Full metadata record

DC FieldValue Language
dc.language.isoen_USen_US
dc.titleA dispersal model for structured populationsen_US
dc.creatorAlzoubi, Maref Yousefen_US
dc.contributor.authorAlzoubi, Maref Yousefen_US
dc.date.issued1999en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractWe study a model for a structured population with a two-phase life cycle. Growth and reproduction occur during the first phase. The first phase is followed by a dispersal phase in which individuals are allowed to move throughout a habitat. We study the extinction and survival of the population from the bifurcation point of view. We prove the existence of positive equilibria and analyze their asymptotic stability near the extinction equilibria, relating it to the direction of bifurcation. Finally we investigate the spectrum of the branch of positive solutions.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectMathematics.en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorCushing, Jimen_US
dc.identifier.proquest9957925en_US
dc.identifier.bibrecord.b40114387en_US
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