Masters Degrees (Mathematical Sciences)

 

Recent Submissions

  • Investigating tumour micro environment dynamics based on cytokine-mediated innate-adaptive immunity 

    Amima, Innocenter Moraa (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 

    Azam, James Mba (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 

    Ravelomanana, Jean Bernoulli (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 

    Mthombothi, Zinhle Emily (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. 

    Ramolotja, Kagiso Samuel (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 

    Van Niekerk, Francois Koch (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 

    van Zyl, Phillippus Johannes III (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 

    Sanon, Sogo Pierre (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 

    Otieno, Fanuel Omondi (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 ...

  • Analysis of partner turnover rate and the lifetime number of sexual partners in Cape Town using generalized linear models 

    Olojede, Christianah Oyindamola (Stellenbosch : Stellenbosch University, 2017-12)
    ENGLISH ABSTRACT :A large number of analyses have been carried out to investigate how sexually active people contracted human immunodeficiency virus (HIV) by using common indicators like the number of new sexual partners ...

  • Modelling the dynamics of two political parties in the presence of switching 

    Nyabadza, F.; Alassey, Tobge Yawo; Muchatibaya, Gift (SpringerOpen, 2016)
    This paper generalizes the model proposed by Misra, by considering switching between political parties. In the model proposed, the movements of members from political party B to political party C and vice versa, are ...

  • Ultraproducts and Los’s Theorem: A Category-Theoretic Analysis 

    Chimes, Mark Jonathan (Stellenbosch : Stellenbosch University, 2017-03)
    ENGLISH ABSTRACT : Ultraproducts are an important construction in model theory, especially as applied to algebra. Given some family of structures of a certain type, an ultraproduct of this family is a single structure ...

  • Imaginaries in dense pairs of real-closed fields 

    Rakotonarivo, Tsinjo Odilon (Stellenbosch : Stellenbosch University, 2017-03)
    ENGLISH ABSTRACT : Imaginaries are definable equivalence classes, which play an important role in model theory. In this thesis, we are interested in imaginaries of dense pairs of real-closed fields. More precisely, we ...

  • Immune biomarker reference range estimation for healthy paediatric patients in South Africa 

    Bicko, Steve Cygu (Stellenbosch : Stellenbosch University, 2017-03)
    ENGLISH ABSTRACT : Understanding and quantifying human peripheral blood T-lymphocyte immunophenotypes is necessary for the diagnosis and treatment of immune and haematological disorders. This is only possible if comparison ...

  • An age structured model for substance abuse dynamics in the Western Cape Province of South Africa. 

    Chinake, Filister (Stellenbosch : Stellenbosch University, 2017-03)
    ENGLISH SUMMARY: The substance abuse problem has escalated in the Western Cape province of South Africa. This has resulted in high rates of gangsterism and other prob- lems associated with substance abuse. The problem ...

  • Modeling the economics of insecticide and trypanocide-treated cattle interventions against trypanosomiasis disease within a multi-host situation 

    Jamah, Tokpa Darwolo (Stellenbosch : Stellenbosch University, 2017-03)
    ENGLISH SUMMARY: Trypanosomiasis, sleeping sickness in humans and nagana in animals, is vectored by tsetse flies (Glossina genus), which have acquired their infection from feeding on an infectious host. Its control or ...

  • Whole body modelling of glucose metabolism in malaria patients 

    Green, Kathleen (Stellenbosch : Stellenbosch University, 2017-03)
    ENGLISH ABSTRACT : Diagnosing a patient with a disease is typically done by considering a list of clinical symptoms. For severe malaria two of the key pathophysiological indicators for poor chances of survival are ...

  • Modelling early iInitiation of HAART to forestall AIDS-related lymphoma in South Africa: a cost-effectiveness analysis. 

    Kyomugisha, Irene (Stellenbosch : Stellenbosch University, 2017-03)
    ENGLISH SUMMARY: The burden of cancer in low and middle income countries has been projected to shift from 59% (in 2012) to 65% (by 2030) of all cancer cases globally. Since the introduction of highly active antiretroviral ...

  • The double Heston model via filtering methods 

    Namundjebo, Elia N (Stellenbosch : Stellenbosch University, 2016-12)
    ENGLISH ABSTRACT : Stochastic volatility models are well-known for their ability to generate a volatility smile for financial securities. The development of the stochastic volatility models followed shortly after the ...

  • An integrated framework modelling susceptibility to tuberculosis in homogeneous and admixed populations 

    Gebremariam, Zoe Zerihun (Stellenbosch : Stellenbosch University, 2016-12)
    ENGLISH ABSTRACT : In spite of the wide variety of anti-tuberculosis drugs, tuberculosis (TB), caused by mycobacterium tuberculosis (MTB), is the second leading infectious disease after Human Immunode ciency Virus (HIV) ...

  • Elliptic curve cryptography 

    Louw, Gerard Jacques (Stellenbosch : Stellenbosch University, 2016-12)
    ENGLISH ABSTRACT : In this thesis we present a selection of Diffie-Hellman cryptosystems, which were classically formulated using the multiplicative group of a finite field, but which may be generalised to use other group ...

  • A mathematical model for onchocerciasis and its treatment with ivermectin 

    Omondi, Evans Otieno (Stellenbosch : Stellenbosch University, 2016-12)
    ENGLISH ABSTRACT : Onchocerciasis is a human disease that is caused by the filirial worm Onchocerca volvulus. It occurs close to oxygen rich flowing streams and rivers in the inter-tropical zones. The disease is a serious ...

  • Geometry of Complex Polynomials: On Sendov's Conjecture 

    Chalebgwa, Taboka Prince (Stellenbosch : Stellenbosch University, 2016-12)
    ENGLISH ABSTRACT : Sendov’s conjecture states that if all the zeroes of a complex polynomial P(z) of degree at least two lie in the unit disk, then within a unit distance of each zero lies a critical point of P(z). In a ...

  • Modelling of the invasion dynamics of plasmodium falciparum merozoites into red blood cells 

    Meiring, Maynard (Stellenbosch : Stellenbosch University, 2016-03)
    ENGLISH ABSTRACT : BACKGROUND The physiological symptoms of P. falciparum infection are associated with a 48 hour replication cycle whereby parasites (merozoites) invade susceptible red blood cells (RBCs), develop and ...

  • Modelling the transmission of Buruli ulcer in fluctuating environments 

    Assan, Belthasara (Stellenbosch : Stellenbosch University, 2015-12)
    ENGLISH ABSTRACT : Buruli ulcer is a disease caused by Mycobacterium ulcerans. The transmission dynamics of this disease largely depends on environmental changes. In this thesis a deterministic model for the transmission ...

  • On commutativity and lie nilpoten y in matrix algebras 

    Sehoana, Mahlare Gerald (Stellenbosch : Stellenbosch University, 2015-12)
    ENGLISH ABSTRACT : In this thesis we first discuss the proof by Mirzakhani [9] of Schur's Theorem which gives the maximum number of linearly independent matrices in a commutative algebra of n×n matrices over a field F. An ...

  • Spectral radii of matrices associated with graphs 

    Dadedzi, Kenneth (Stellenbosch : Stellenbosch University, 2015-12)
    ENGLISH ABSTRACT : The spectral radius of a graph is defined as the largest absolute value of the eigenvalues of a matrix associated with the graph. In this thesis, we study the spectral radii of the adjacency matrix, ...

  • Calibration and Model Risk in the Pricing of Exotic Options Under Pure-Jump Lévy Dynamics 

    Mboussa Anga, Gael (Stellenbosch : Stellenbosch UniversityStellenbosch University, 2015-12)
    AFRIKAANSE OPSOMMING : Die groeiende belangstelling in kalibrering en modelrisiko is ’n redelik resente ontwikkeling in finansiële wiskunde. Hierdie proefskrif fokusseer op hierdie sake, veral in verband met die prysbepaling ...

  • Analytic methods in combinatorial number theory 

    Baker, Liam Bradwin (Stellenbosch : Stellenbosch University, 2015-12)
    ENGLISH ABSTRACT : Two applications of analytic techniques to combinatorial problems with number-theoretic flavours are shown. The first is an application of the real saddle point method to derive second-order asymptotic ...

  • Modelling Drug Abuse and Drug-related Crime: A Systems Approach 

    Coetzee, Lezanie (Stellenbosch : Stellenbosch University, 2015-12)
    ENGLISH ABSTRACT : In this study we look at the syndemic of substance abuse and drug-related crime in the Western Cape province of South Africa. The intent of this study is to provoke critical thinking about the possibilities ...

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