Browsing Magister Scientiae - MSc (Mathematics and Applied Mathematics) by Subject "Stability analysis"
Now showing items 1-3 of 3
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Mathematical modeling and analysis of HIV/AIDS control measures
(University of the Western Cape, 2012)In this thesis, we investigate the HIV/AIDS epidemic in a population which experiences a significant flow of immigrants. We derive and analyse a math- ematical model that describes the dynamics of HIV infection among the ... -
A mathematical modeling of optimal vaccination strategies in epidemiology
(2010)We review a number of compartmental models in epidemiology which leads to a nonlinear system of ordinary differential equations. We focus an SIR, SEIR and SIS epidemic models with and without vaccination. A threshold ... -
On the numerical integration of singularly perturbed Volterra integro-differential equations
(University of the Western Cape, 2017)Efficient numerical approaches for parameter dependent problems have been an inter- esting subject to numerical analysts and engineers over the past decades. This is due to the prominent role that these problems play in ...