>Magister Scientiae - MSc / This thesis deals with analysis and implementation of a positivity preserving numerical
method for a vaccination model for the transmission dynamics of two HIVsubtypes
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.
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:uwc/oai:etd.uwc.ac.za:11394/8722 |
| Date | January 2007 |
| Creators | Wyngaardt, Jo-Anne |
| Contributors | Patidar, Kailash C |
| Publisher | University of the Western Cape |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Rights | University of the Western Cape |
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