Author
Alzoubi, Maref YousefIssue Date
1999Keywords
Mathematics.Advisor
Cushing, Jim
Metadata
Show full item recordPublisher
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
textDissertation-Reproduction (electronic)
Degree Name
Ph.D.Degree Level
doctoralDegree Program
Graduate CollegeMathematics