Analysis and implementation of a positivity preserving numerical method for an HIV model

dc.contributor.advisor	Patidar, Kailash C.
dc.contributor.author	Wyngaardt, Jo-Anne
dc.date.accessioned	2014-10-01T13:11:49Z
dc.date.available	2014-10-01T13:11:49Z
dc.date.issued	2007
dc.identifier.uri	http://hdl.handle.net/11394/3750
dc.description	Magister Scientiae - MSc	en_US
dc.description.abstract	This thesis deals with analysis and implementation of a positivity preserving numerical method for a vaccination model for the transmission dynamics of two HIVsubtypesnin 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.iso	en	en_US
dc.subject	HIV model(s)	en_US
dc.subject	Stability	en_US
dc.subject	Reproduction number	en_US
dc.subject	Quilibria	en_US
dc.subject	Method	en_US
dc.subject	Preservation of positivity	en_US
dc.title	Analysis and implementation of a positivity preserving numerical method for an HIV model	en_US
dc.rights.holder	uwc	en_US