Department of Mathematical Sciences

Recent Submissions

  • The seesaw effect of winter temperature change on the recruitment of cotton bollworms Helicoverpa armigera through mismatched phenology 

    Reddy, Gadi V. P.; Shi, Peijian; Hui, Cang; Cheng, Xiaofei; Ouyang, Fang; Ge, Feng (John Wiley & Sons Ltd., 2015)
    Knowing how climate change affects the population dynamics of insect pests is critical for the future of integrated pest management. Rising winter temperatures from global warming can drive increases in outbreaks of some ...

  • An optimal proportion of mixing broad-leaved forest for enhancing the effective productivity of moso bamboo 

    Cheng, Xiao-Fei; Shi, Pei-Jian; Hui, Cang; Wang, Fu-Sheng; Liu, Guo-Hua; Li, Bai-Lian (John Wiley & Sons Ltd., 2015-03-17)
    Moso bamboos (Phyllostachys edulis) are important forestry plants in southern China, with substantial roles to play in regional economic and ecological systems. Mixing broad-leaved forests and moso bamboos is a common ...

  • 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 ...

  • Whole body modelling of glucose metabolism in malaria patients 

    Green, Kathleen (Stellenbosch : Stellenbosch University, 2017-03)

  • 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 ...

  • Solving embedding problems with bounded ramification 

    Ramiharimanana, Nantsoina Cynthia (Stellenbosch : Stellenbosch University, 2016-12)
    ENGLISH ABSTRACT : Given a Galois extension K/K0 of number fields, a finite group G, and an epimorphism α: G→ Gal(K/K0) with solvable kernel, our goal is to embed K into a Galois extension N of K0 with Galois group ...

  • Computational and theoretical analysis of human diseases associated with infectious pathogens 

    Noutchie, Suares Clovis Oukouomi; Kwuimy, Cedrick Aurelien Kitio; Tewa, Jean Jules; Nyabadza, Farai; Bildik, Necdet (Hindawi, 2015)
    Mathematical models and computer simulations are useful experimental tools for building and testing theories, assessing quantitative conjectures, answering specific questions, determining sensitivities to changes in parameter ...

  • DSaaS : a cloud service for persistent data structures 

    Le Roux, Pierre Bernard; Kroon, Steve; Bester, Willem (Institute for Systems and Technologies of Information, 2016-04)
    In an attempt to tackle shortcomings of current approaches to collaborating on the development of structured data sets, we present a prototype platform that allows users to share and collaborate on the development of ...

  • Binary closure operators 

    Abdalla, Abdurahman Masoud (Stellenbosch : Stellenbosch University, 2016-03)
    ENGLISH ABSTRACT : In this thesis we provide a new foundation to categorical closure operators, using more elementary binary closure operators on posets. The original goal of the thesis was to study a categorical closure ...

  • Fredholm theory in ordered Banach algebras 

    Benjamin, Ronalda Abigail Marsha (Stellenbosch : Stellenbosch University, 2016-03)
    ENGLISH ABSTRACT : Since its inception, Fredholm theory has become an important aspect of spectral theory. Among the spectra arising within Fredholm theory is the Weyl spectrum which has been intensively studied by several ...

  • 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 ...

  • Contributions to the analysis of approximate counting 

    Prodinger, Helmut (Stellenbosch : Stellenbosch University, 2016-03)
    ENGLISH ABSTRACT : Approximate Counting is a classical technique with very challenging questions re- lated to its performance analysis. It is also somewhat similar to parameters around Digital Search trees. Surprising ...

  • On the validity of evolutionary models with site-specific parameters 

    Scheffler, Konrad; Murrell, Ben; Pond, Sergei L. Kosakovsky (PLoS, 2014-04-10)
    Evolutionary models that make use of site-specific parameters have recently been criticized on the grounds that parameter estimates obtained under such models can be unreliable and lack theoretical guarantees of convergence. ...

  • Modelling the transmission of Buruli ulcer in fluctuating environments 

    Assan, Belthasara (Stellenbosch : Stellenbosch University, 2015-12)

  • 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)

  • 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 ...

  • On the constant reductions of valued function fields and their automorphism groups 

    Razafindramahatsiaro, Tovondrainy Christalin (Stellenbosch : Stellenbosch University, 2015-11-20)
    ENGLISH ABSTRACT : The aim of the project is to investigate properties of the automorphism group of a function field in one variable over an algebraically closed field in relation to its reductions with respect to special ...

  • 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 ...

  • Modelling the role of HIV and its treatment in non-Hodgkin lymphoma growth dynamics 

    Aogo, Rosemary Akinyi (Stellenbosch : Stellenbosch University, 2015-12)

  • Modelling the potential role of control strategies on Ebola virus disease dynamics 

    Njankou, Sylvie Diane Djiomba (Stellenbosch : Stellenbosch University, 2015-12)
    ENGLISH ABSTRACT : The most deadly Ebola disease epidemic ever was still ongoing as of June 2015 in West Africa. It started in Guinea, where the first cases were recorded in March 2014. Control strategies, aiming at ...

  • Modelling in- and out-patient rehabilitation for substance abuse in dynamic environments 

    Gatyeni, Siphokazi Princess (2015-12)
    ENGLISH ABSTRACT : Substance abuse is a major problem globally with immeasurable consequences to the health of users. Rehabilitation is one of the strategies that can help to fight against substance abuse. It is divided ...

  • Unlocking patterns of nature - the marriage of mathematics and ecology 

    Hui, Cang (Stellenbosch : Stellenbosch University, 2015-03)
    Professor Cang Hui was born in the ancient capital of China, Xi’an, where the Terracotta Warriors were unearthed. In 1994, he went to Xi’an Jiaotong University, a C9 League, and obtained his BSc in applied mathematics ...

  • On the effciency of code-based steganography 

    Ralaivaosaona, Tanjona Fiononana (Stellenbosch : Stellenbosch University, 2015-03)
    ENGLISH ABSTRACT: Steganography is the art of hiding information inside a data host called the cover. The amount of distortion caused by that embedding can influence the security of the steganographic system. By secrecy ...

  • Quantitative Risk Management and Pricing for Equity Based Insurance Guarantees 

    Leboho, Nakedi Wilson (Stellenbosch : Stellenbosch University, 2015-03)
    ENGLISH ABSTRACT : Equity-based insurance guarantees also known as unit-linked annuities are annuities with embedded exotic, long-term and path-dependent options which can be categorised into variable and equity indexed ...

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