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Numerical singular perturbation approaches based on spline approximation methods for solving problems in computational finance
(University of the Western Cape, 2011)
Options are a special type of derivative securities because their values are derived from the value of some underlying security. Most options can be grouped into either of the two categories: European options which can be ...
A model for managing pension funds with benchmarking in an inflationary market
(University of the Western Cape, 2011)
Aggressive fiscal and monetary policies by governments of countries and central banks in developed markets could somehow push inflation to some very high level in the long run. Due to the decreasing of pension fund benefits ...
Stochastic modeling of an HIV/AIDS epidemic with treatment
(University of the Western Cape, 2019)
The HIV/AIDS epidemic continues to be among the most devastating diseases in human
history despite the new scientific advances and serious public health interventions.
The greatest burden of HIV/AIDS is still in sub-Saharan ...
Design, analysis and simulation of a robust numerical method to solve Zika virus models
(University of the Western Cape, 2019)
This thesis deals with the analysis and robust simulation of mathematical models
describing Zika virus disease. Some background information about the occurrences
of this disease and most recent literature indicating some ...
The influence of interfaces on the understanding of Mathematics in secondary schools in Afghanistan
(University of the Western Cape, 2010)
The focus of this research is to establish whether there is a difference in the way the genders perceive the visualization of mathematics, with specific reference to set theory. The influence of the computing experience ...
Analysis and implementation of robust numerical methods to solve mathematical models of HIV and Malaria co-infection
(University of the Western Cape, 2011)
There is a growing interest in the dynamics of the co-infection of these two diseases. In this thesis, firstly we focus on studying the effect of a distributed delay representing the incubation period for the malaria ...
Mesh free methods for differential models in financial mathematics
(University of the Western Cape, 2011)
Many problems in financial world are being modeled by means of differential equation. These problems are time dependent, highly nonlinear, stochastic and heavily depend on the previous history of time. A variety of financial ...
Do money managers outperform their respective benchmark? Evidence from South African Unit Trust industry
(University of the Western Cape, 2015)
Motivated by the growing attraction of the mutual fund industries across the world, this research seeks to explore the economic benefits contributed by the South African equity unit trust managers over the period from 1 ...
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 primarity of some block intersection graphs
(University of the Western Cape, 2018)
A tactical con guration consists of a nite set V of points, a nite set B of
blocks and an incidence relation between them, so that all blocks are incident
with the same number k points, and all points are incident with ...