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Analysis and Implementation of a Positivity Preserving Numerical Method for an HIV model

dc.contributor.advisorPatidar, Kailash C.
dc.contributor.authorWyngaardt, Jo-Anne
dc.date.accessioned2022-03-17T11:57:47Z
dc.date.available2022-03-17T11:57:47Z
dc.date.issued2007
dc.identifier.urihttp://hdl.handle.net/11394/8924
dc.description>Magister Scientiae - MScen_US
dc.description.abstractThis thesis deals with analysis and implementation of a positivity preserving numerical method for a vaccination model for the transmission dynamics of two HIV subtypes in a given community. The continuous model is analyzed for stability and equilibria. The qualitative information thus obtained is used while designing numerical method(s). Three numerical methods, namely, Implicit Finite Difference Method (IFDM), Non-standard Finite Difference Method (NSFDM) and the Runge-Kutta method of order four (RK4), are designed and implemented. Extensive numerical simulation are carried out to justify theoretical outcomes.en_US
dc.language.isoenen_US
dc.publisherUniversity of the Western Capeen_US
dc.subjectHIV model(s)en_US
dc.subjectStabilityen_US
dc.subjectReproduction numberen_US
dc.subjectEquilibriaen_US
dc.subjectImplicit finite difference methoden_US
dc.subjectNon-standard finite difference methoden_US
dc.subjectRunge-Kutta methoden_US
dc.subjectPreservation of positivityen_US
dc.subjectAnalysis of the numerical methodsen_US
dc.titleAnalysis and Implementation of a Positivity Preserving Numerical Method for an HIV modelen_US
dc.rights.holderUniversity of the Western Capeen_US


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