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dc.creatorMcCormack, Robert Kenneth
dc.date.available2011-02-19T00:44:54Z
dc.date.issued2004-08
dc.identifier.urihttp://hdl.handle.net/2346/22079en_US
dc.description.abstractA continuous-time deterministic model of a host-pathogen system is developed and analyzed. The model includes the genetics of the pathogen. The host population is divided into susceptibles and infectives and the infective host population governs the growth of the pathogen population. It is shown that under certain conditions, the pathogen population obeys the Hardy-Weinberg law. A stochastic model is developed based on the deterministic formulation. Numerical simulations are used to compare the dynamics of the deterministic and stochastic models.
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherTexas Tech Universityen_US
dc.subjectDeterministic chaos -- Mathematical modelsen_US
dc.subjectHost-parasite relationships -- Mathematical modelsen_US
dc.subjectHost-parasite relationships -- Genetic aspectsen_US
dc.subjectHardy-Weinberg formulaen_US
dc.titleMathematical models for the evolution of host-pathogen systems
dc.typeThesis
thesis.degree.nameM.S.
thesis.degree.levelMasters
thesis.degree.disciplineMathematics
thesis.degree.grantorTexas Tech University
thesis.degree.departmentMathematics
thesis.degree.departmentMathematics and Statistics
dc.degree.departmentMathematicsen_US
dc.rights.availabilityUnrestricted.


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