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

Description

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<p align="left">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.</p>
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Links & Downloads

1. http://etd.uwc.ac.za/index.php?module=etd&action=viewtitle&id=gen8Srv25Nme4_6536_1260180328

Tags

HIV model(s)

stability

reproduction number

quilibria

method

preservation of positivity.

Additional Fields

Identifer	oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:uwc/oai:UWC_ETD:http%3A%2F%2Fetd.uwc.ac.za%2Findex.php%3Fmodule%3Detd%26action%3Dviewtitle%26id%3Dgen8Srv25Nme4_6536_1260180328
Date	January 2007
Creators	Wyngaardt, Jo-Anne.
Source Sets	South African National ETD Portal
Language	English
Detected Language	English
Type	Thesis and dissertation
Format	Pdf
Coverage	ZA
Rights	Copyright: University of the Western Cape