Dynamics of Competition using a Bit String Model with Age Structure and Mutations

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dc.contributor.authorAstalos, Robert Josephen
dc.contributor.committeechairZia, Royce K. P.en
dc.contributor.committeememberTauber, Uwe C.en
dc.contributor.committeememberSchmittmann, Beateen
dc.contributor.committeememberIndebetouw, Guy J.en
dc.contributor.committeememberHagedorn, George A.en
dc.contributor.departmentPhysicsen
dc.date.accessioned2014-03-14T20:10:01Zen
dc.date.adate2001-04-20en
dc.date.available2014-03-14T20:10:01Zen
dc.date.issued2001-04-17en
dc.date.rdate2002-04-20en
dc.date.sdate2001-04-19en
dc.description.abstractUsing Monte Carlo simulations and analytic methods, we examine the dynamics of inter-species competition using the Penna bit-string model. We begin with a study of the steady state with a single species, then proceed to the dynamics of competition between two species. When the species are not evenly matched in fitness, a simple differential equation provides a satisfactory model of the behavior of the system. However, when the species are equally fit, we show that a model, originally proposed to describe population genetics [Fisher,Wright], is required. When mutations are allowed between the competing species, the dynamics becomes more interesting. The mutation rate becomes a parameter that dictates the steady state behavior. If the two species are not equally fit, the value of the mutation rate determines whether the longer-lived or faster reproducing species is favored. With two species that are equally fit, the steady state varies with mutation rate from a single peaked to a double peaked distribution. This behavior is shown to be well described by an extension to the Fisher-Wright model mentioned above. Finally, we describe the preliminary results of a few new lines of investigation, and suggest ideas for further study of the dynamics of this model.en
dc.description.degreePh. D.en
dc.identifier.otheretd-04192001-141911en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-04192001-141911/en
dc.identifier.urihttp://hdl.handle.net/10919/26986en
dc.publisherVirginia Techen
dc.relation.haspartMu01DiffN.avien
dc.relation.haspartNoMutEqualN.avien
dc.relation.haspartthesis.pdfen
dc.relation.haspartMu1DiffN.avien
dc.relation.haspartNoMutDiffN.avien
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectBit-string Modelen
dc.subjectAge Structureen
dc.subjectMonte Carloen
dc.subjectInterspecies Competitionen
dc.titleDynamics of Competition using a Bit String Model with Age Structure and Mutationsen
dc.typeDissertationen
thesis.degree.disciplinePhysicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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