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

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

Grantor dc:publisher.institution

University of the Western Cape

Year dc:date.issued

2007

Author dc:creator

• Wyngaardt, Jo-Anne

• HIV model(s)
• Stability
• Reproduction number
• Quilibria
• Method

Licence

• https://uwcscholar.uwc.ac.za/bitstreams/51bc398a-0874-4cff-9d43-4a883d979785/download