Masters Degrees (Mathematical Sciences)
Recent Submissions
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Calibrating a stochastic SIR-model to simulated data using different calibration methods : a tutorial & comparison of methods
(Stellenbosch : Stellenbosch University., 2020-04)ENGLISH ABSTRACT: Mathematical models have helped researchers identify and quantify trends in observed data, which is especially useful in the field of epidemiology. Fitting models to data enhances the credibility of ... -
Comparison of old and new algorithms for s,t -network reliability
(Stellenbosch : Stellenbosch University., 2020-04)ENGLISH ABSTRACT: Network reliability is the probability of an operative path connecting the source s with the terminal t. s, t-network reliability problems have been proven to be #P-complete. In this thesis we present ... -
Explicit bound on Siegel zeros of imaginary quadratic fields
(Stellenbosch : Stellenbosch University, 2019-12)ENGLISH ABSTRACT: Please refer to full text for abstract. -
On a generalisation of k-Dyck paths
(Stellenbosch : Stellenbosch University, 2019-12)ENGLISH ABSTRACT: (Refer to full text abstract for symbols that did not transfer correctly). We consider a family of non-negative lattice paths consisting of the step set f(1; 1); (1;k)g called k-Dyck paths, which are ... -
Euler Classes and Frobenius Algebras
(Stellenbosch : Stellenbosch University, 2019-04)ENGLISH ABSTRACT : This thesis investigates the relationship between the handle element of the De Rham cohomology algebra of a compact oriented smooth manifold, thought of as a Frobenius algebra, and the Euler class of ... -
A duality theoretic perspective on recognisable languages
(Stellenbosch : Stellenbosch University, 2019-04)ENGLISH ABSTRACT : A connection between recognisable languages and profinite identities is established through the composition of two famous theorems: Eilenberg’s theorem and Reiterman’s theorem. In this work, we present ... -
An error correction neural network for stock market prediction
(Stellenbosch : Stellenbosch University, 2019-04)ENGLISH ABSTRACT : Predicting stock market has long been an intriguing topic for research in different fields. Numerous techniques have been conducted to forecast stock market movement. This study begins with a review ... -
Investigating diffusion on networks with long-range interactions: application to object clustering using the generalised heat kernel invariants
(Stellenbosch : Stellenbosch University, 2018-12)ENGLISH ABSTRACT : Diffusion on networks is widely used to model dynamical processes on networks such as propagation of information through a social network for marketing purposes [79], spread of epidemics within a social ... -
Forecasting stock returns: A comparison of five models
(Stellenbosch : Stellenbosch University, 2018-12)ENGLISH ABSTRACT : Forecasting the movement of stock returns prices has been of interest to researches for many decades. Due to the complex and chaotic nature of the stock market, it has been difficult for researches to ... -
A stage structured model for HIV/AIDS in the presence of vertical transmission: The case of Ghana
(Stellenbosch : Stellenbosch University, 2018-12)ENGLISH ABSTRACT :Vertical transmission remains a global problem with respect to HIV infection dynamics. It refers to the transmission of HIV from the mother to child during pregnancy, delivery and breastfeeding soon after ... -
On the definable generalized Bohr compactification of SL(2,Qp)
(Stellenbosch : Stellenbosch University, 2018-12)ENGLISH ABSTRACT : This paper provides an overview of existing knowledge regarding the socalled definable generalized Bohr compactification of the group SL(2, Qp) of 2 × 2 matrices with determinant 1 and entries in Qp. ... -
Investigating tumour micro environment dynamics based on cytokine-mediated innate-adaptive immunity
(Stellenbosch : Stellenbosch University, 2018-03)ENGLISH ABSTRACT : Cancer is a leading cause of death worldwide, yet much is still unknown about its mechanism of establishment, recurrence cycle and destruction. It is known that the successive alterations that occur ... -
Assessment of a measles outbreak response vaccination campaign, and two measles parameter estimation methods
(Stellenbosch : Stellenbosch University, 2018-03)ENGLISH ABSTRACT : Measles is highly transmissible, and is a leading cause of vaccine-preventable death among children. Consequently, it is regarded as a public health issue worldwide and has been targeted for elimination ... -
Enumeration of tanglegrams
(Stellenbosch : Stellenbosch University, 2018-03)ENGLISH ABSTRACT : Tanglegrams are graphs obtained by taking two binary rooted trees with the same number of leaves and a perfect matching between the leaves of the two trees. Tanglegrams appear in biology in the study ... -
Modelling the effects of temperature change on the dynamics of tsetse flies and trypanosomiasis disease transmission
(Stellenbosch : Stellenbosch University, 2018-03)ENGLISH ABSTRACT : Global temperatures have increased over recent decades. This is expected to have an impact on vector-borne diseases, raising questions such as: Will the increased temperature result in changing disease ... -
Modelling human immune response dynamics to Mycobacterium Tuberculosis infection.
(Stellenbosch : Stellenbosch University, 2017-12)ENGLISH SUMMARY: Tuberculosis (TB), caused by Mycobacterium tuberculosis (MTB) still poses a great challenge to the well-being of the population, particularly in Sub-Saharan Africa. The ability to trigger strong mounted ... -
Contributions to projective group theory
(Stellenbosch : Stellenbosch University, 2017-12)ENGLISH ABSTRACT : Projective Group Theory (PGT for short) provides a self-dual axiomatic context that allows one to establish homomorphism theorems for (non-abelian) group-like structures. The present thesis has two ... -
Towards projective set theory
(Stellenbosch : Stellenbosch University, 2017-12)ENGLISH ABSTRACT : In this thesis an axiomatic framework is presented which extends the projective group theory introduced by Z Janelidze to also hold for sets. The isomorphism theorems are reformulated so that they hold ... -
Contributions to the theory of near-vector spaces
(Stellenbosch : Stellenbosch University, 2017-12)ENGLISH ABSTRACT : The purpose of this thesis is to give an exposition and expand the theory of near-vector spaces. Near-vector space theory is a new and rich field of mathematics and has been used in several applications, ... -
A meta-analysis of the association between intimate partner violence and age disparity in sub-Saharan Africa
(Stellenbosch : Stellenbosch University, 2017-12)ENGLISH ABSTRACT : Intimate partner violence (IPV) is the most common form of violence against women and a worldwide human rights and public health problem. IPV against women can be emotional, physical, and sexual in ...
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