Browsing Magister Scientiae - MSc (Mathematics and Applied Mathematics) by Title
Now showing items 39-58 of 90
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Mathematical model of performance measurement of defined contribution pension funds
(University of the Western Cape, 2015)The industry of pension funds has become one of the drivers of today’s economic activity by its important volume of contribution in the financial market and by creating wealth. The increasing importance that pension funds ... -
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 ... -
Mathematical modeling in the sustainable use of natural resources.
(University of the Western Cape, 2015)The sustainable use of natural resources is of utmost importance for every community. In particular, it is important for every given generation to plan in such a way that proper provision is made for future generations. ... -
Mathematical modeling of an epidemic under vaccination in two interacting populations
(University of the Western Cape, 2011)In this dissertation we present the quantitative response of an epidemic of the so-called SIR-type, in a population consisting of a local component and a migrant component. Each component can be divided into three classes, ... -
A mathematical modeling of optimal vaccination strategies in epidemiology
(University of the Western Cape, 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 ... -
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 ... -
Mathematical modeling of population dynamics of HIV with antiretroviral treatment and herbal medicine
(University of Western Cape, 2014)Herbal medicines have been an important part of health and wellness for hundreds of years. Recently the World Health Organization estimated that 80% of people worldwide rely on herbal medicines. Herbs contain many ... -
Mathematical modeling of the population dynamics and optimal control of COVID-19 disease
(2024)Since the onset of the COVID-19 pandemic, researchers speculated that this virus would create numerous challenges in the daily lives of individuals, especially medical and governmental authorities as they are put under ... -
Mathematical modeling of the population dynamics of tuberculosis
(University of the Western Cape, 2016)Tuberculosis (TB) is currently one of the major public health challenges in South Africa, and in many countries. Mycobacterium tuberculosis is among the leading causes of morbidity and mortality. It is known that tuberculosis ... -
Mathematical modelling of HIV/AIDS with recruitment of infecteds
(University of the Western Cape, 2015)The influx of infecteds into a population plays a critical role in HIV transmission. These infecteds are known to migrate from one region to another, thereby having some interaction with a host population. This interactive ... -
Mathematical modelling of the HIV/AIDS epidemic and the effect of public health education
(University of Western Cape, 2014)HIV/AIDS is nowadays considered as the greatest public health disaster of modern time. Its progression has challenged the global population for decades. Through mathematical modelling, researchers have studied different ... -
Mathematical models of credit management and credit derivatives
(2010)The first two chapters give the background, history and overview of the dissertation, together with the necessary mathematical preliminaries. Thereafter, the next four chapters deal with credit risk and credit derivatives.The ... -
Maximal left ideals and idealizers in matrix rings
(University pf Stellenbosch, 1984)In this chapter we supply all the necessary definitions as well as the required results needed in this work. All the notation and terminology will also be explained carefully. -
Maximal left ideals and idealizers in matrix rings
(University of the Western Cape, 1984)In this chapter we supply all the necessary definitions as well as the required results needed in this work. All the notation and terminology will also be explained carefully. §1 DEFINITIONS AND NOTATION R will always ... -
Meta-Cayley Graphs on Dihedral Groups
(University of the Western Cape, 2017)The pursuit of graphs which are vertex-transitive and non-Cayley on groups has been ongoing for some time. There has long been evidence to suggest that such graphs are a very rarety in occurrence. Much success has been had ... -
Methods of optimizing investment portfolios
(2013)In this thesis, we discuss methods for optimising the expected rate of return of a portfolio with minimal risk. As part of the work we look at the Modern Portfolio Theory which tries to maximise the portfolio's expected ... -
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 ... -
A model of pension portfolios with salary and surplus process
(University of the Western Cape, 2010)Essentially this project report is a discussion of mathematical modelling in pension funds, presenting sections from Cairns, A.J.D., Blake, D., Dowd, K., Stochastic lifestyling: Optimal dynamic asset allocation for defined ... -
Model theory of algebraically closed fields and the Ax-Grothendieck Theorem
(University of Western Cape, 2020)We introduce the concept of an algebraically closed field with emphasis of the basic model-theoretic results concerning the theory of algebraically closed fields. One of these nice results about algebraically closed ... -
Modelling of asset allocation in banking using the mean-variance approach
(University of the Western Cape, 2012)Bank asset management mainly involves profit maximization through invest- ment in loans giving high returns on loans, investment in securities for reducing risk and providing liquidity needs. In particular, commercial ...
