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dc.contributor.authorSkeen, Tremaine Teal
dc.date.accessioned2014-03-03T21:26:50Z
dc.date.available2014-03-03T21:26:50Z
dc.date.issued2004-08
dc.identifier.otherskeen_tremaine_t_200408_ma
dc.identifier.urihttp://purl.galileo.usg.edu/uga_etd/skeen_tremaine_t_200408_ma
dc.identifier.urihttp://hdl.handle.net/10724/21986
dc.description.abstractIn this paper we will discuss the foundations of the study of population dynamics. Included in this is the setup of the matrix models that describe the populations and properties of linear and nonlinear models. A few of the basic models, such as Leslie and Ricker, are described and looked at. Equilibria of matrix models will be discussed along with theorems that describe the stability of the equilibria. We end our discussion of general models by looking at various types of bifurcations that can occur in linear and nonlinear matrix models. The LPA model, a specific model fit for flour beetles, will then be looked at including basic properties and theorems, and finally looking at some interesting bifurcations of the model.
dc.languageeng
dc.publisheruga
dc.rightspublic
dc.subjectdifference equations
dc.subjectbifurcations
dc.subjectLeslie Matrix
dc.subjectRicker Model
dc.subjectLPA Model
dc.titleStructured population dynamics and the LPA model
dc.typeThesis
dc.description.degreeMA
dc.description.departmentMathematics
dc.description.majorMathematics
dc.description.advisorMalcolm Adams
dc.description.committeeMalcolm Adams
dc.description.committeeRobert Varley
dc.description.committeeAndrew Sornborger


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