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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 ...