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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 ...
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 ...
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 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 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 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, ...
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 ...