Browsing Philosophiae Doctor - PhD (Mathematics) by Title
Now showing items 20-39 of 41
-
Mathematical epidemiology of malaria disease transmission and its optimal control analyses
(University of the Western Cape, 2010)In this thesis, we present and analyse an SEIR (susceptible-exposed infectious-recovered) model for malaria disease transmission. The model consists treatment and control strategies such as the use of bed nets and spray ... -
A mathematical model for studying the impact of climate variability on malaria epidemics in South Africa
(University of the Western Cape, 2017)Malaria is most prevalent in tropical climates, where there are sufficient rainfall for mosquitoes to breed and conducive temperatures for both the mosquito and protozoa to live. A slight change in temperature can ... -
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 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 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 ... -
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 ... -
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 ... -
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 ... -
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 ... -
Optimal asset allocation and capital adequacy management strategies for Basel III compliant banks
(University of the Western Cape, 2015)In this thesis we study a range of related commercial banking problems in discrete and continuous time settings. The first problem is about a capital allocation strategy that optimizes the expected future value of a commercial ... -
Prestasiemotivering by studente aan die Universiteit van Wes-Kaapland.
(University of the Western Cape, 1991)The major objective of this study was to investigate the nature of the relationship between achievement motivation, autonomous and social achievement values, study habits and attitudes, locus of control and socio-economic ... -
Quasi-uniform and syntopogenous structures on categories
(University of the Western Cape, 2019)In a category C with a proper (E; M)-factorization system for morphisms, we further investigate categorical topogenous structures and demonstrate their prominent role played in providing a uni ed approach to the theory ... -
Reliable numerical simulations of problems for pricing real estate derivatives
(University of the Western Cape, 2022)The globalisation of nancial systems has presented new challenges to investing in real estate assets. For example, any crisis occurring in one real estate market will have an adverse e ect on other markets regardless ... -
Robust computational methods to simulate slow-fast dynamical systems governed by predator-prey models
(University of the Western Cape, 2019)Numerical approximations of multiscale problems of important applications in ecology are investigated. One of the class of models considered in this work are singularly perturbed (slow-fast) predator-prey systems which ... -
Robust numerical methods to solve differential equations arising in cancer modeling
(University of the Western Cape, 2020)Cancer is a complex disease that involves a sequence of gene-environment interactions in a progressive process that cannot occur without dysfunction in multiple systems. From a mathematical point of view, the sequence ... -
Robust Spectral Methods for Solving Option Pricing Problems
(University of the Western Cape, 2012)Robust Spectral Methods for Solving Option Pricing Problems by Edson Pindza PhD thesis, Department of Mathematics and Applied Mathematics, Faculty of Natural Sciences, University of the Western Cape Ever since the ... -
The role of visualization in the teaching and learning of multivariate calculus and systems of ordinary differential equations
(University of the Western Cape, 2015)The purpose of this study was to investigate the role of visualization in the conceptualisation and solution of problems in multivariate calculus and dynamical systems. The theoretical basis, and the visual and analytical ...
