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Now showing items 11-20 of 20
High Accuracy Fitted Operator Methods for Solving Interior Layer Problems
(University of the Western Cape, 2020)
Fitted operator finite difference methods (FOFDMs) for singularly perturbed
problems have been explored for the last three decades. The construction of
these numerical schemes is based on introducing a fitting factor ...
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 ...
Ultrafilters and Compactification
(UWC, 2020)
In this thesis, we construct the ultrafilter space of a topological space using ultrafilters as points, study some of its properties and describe a method of generating compactifications through the ultrafilter space. As ...
Analysis and robust simulation of mathematical models of HIV and Leishmaniasis co-infection
(University of the Western Cape, 2022)
The purpose of this thesis is the theoretical and numerical study of epidemiological
models of Visceral Leishmaniasis (VL) and human immunode ciency virus (HIV) coinfection.
We study these models theoretically and design ...
Analysis and simulation of some ecological models describing weed-water hyacinth dynamics in Lake Tana, Ethiopia
(University of the Western Cape, 2022)
The water hyacinth plant is notorious for being the world’s worst aquatic weed. In
Ethiopia, it invades lake Tana which is the largest lake in Ethiopia. This is attracting
attention of many researchers including mathematical ...
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 ...
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 ...
A categorical study of persistent homology for closure space
(University of the Western Cape, 2023)
We begin with the concept of closure space and show how it relates to other objects like graphs and metric spaces in categorical terms. We also study the notion of simplicial sets and show that there is an adjunction between ...
Modelling the basel III capital adequacy and net stable funding ratios for a commercial bank following an optimal investment strategy
(University of the Western Cape, 2024)
Commercial banks have a significant impact on a country’s economy as they raise capital, create liquidity by converting their customers’ deposits into loans, and deliver essential services such as loans, certificates 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 ...