Browsing Department of Mathematics by Title
Now showing items 66-85 of 131
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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 TB disease dynamics in a crowded population.
(University of the Western Cape, 2020)Tuberculosis is a bacterial infection which is a major cause of death worldwide. TB is a curable disease, however the bacterium can become resistant to the first line treatment against the disease. This leads to a disease ... -
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 modeling of the transmission dynamics of malaria in South Sudan
(University of the Western Cape, 2019)Malaria is a common infection in tropical areas, transmitted between humans through female anopheles mosquito bites as it seeks blood meal to carry out egg production. The infection forms a direct threat to the lives of ... -
Mathematical modeling of tuberculosis epidemiology in Ethiopia
(University of the Western Cape, 2024)Tuberculosis (TB) is currently one of the most severe public health issues in Ethiopia and many other countries. Despite demanding efforts having been made by governmental and nongovernmental organizations to eliminate ... -
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 for optimal management of bank capital, reserves and liquidity
(University of the Western Cape, 2019)The aim of this study is to construct and propose continuous-time mathematical models for optimal management of bank capital, reserves and liquidity. This aim emanates from the global financial crisis of 2007 − 2009. In ... -
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 ... -
Measurements of edge uncolourability in cubic graphs
(University of the Western Cape, 2020)The history of the pursuit of uncolourable cubic graphs dates back more than a century. This pursuit has evolved from the slow discovery of individual uncolourable cubic graphs such as the famous Petersen graph and the ... -
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 ... -
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 ... -
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 ...
