Department of Mathematical Sciences

Recent Submissions

  • A simulation age-specific tuberculosis model for the Cape Town metropole 

    Nyabadza, Farai; Winkler, Dieter (Academy of Science of South Africa, 2013-09-18)
    Tuberculosis (TB) continues to present an insurmountable health burden in the Western Cape Province of South Africa. TB dynamics in adults is different from that in children, with the former determining the latter. Because ...

  • Invading a mutualistic network : to be or not to be similar 

    Minoarivelo, Henintsoa Onivola; Hui, Cang (Wiley Open Access, 2016)
    Biological invasion remains a major threat to biodiversity in general and a disruptor to mutualistic interactions in particular. While a number of empirical studies have directly explored the role of invasion in mutualistic ...

  • A geometrical model for testing bilateral symmetry of bamboo leaf with a simplified Gielis equation 

    Lin, Shuyan; Zhang, Li; Reddy, Gadi V. P.; Hui, Cang; Gielis, Johan; Ding, Yulong; Shi, Peijian (Wiley Open Access, 2016)
    The size and shape of plant leaves change with growth, and an accurate description of leaf shape is crucial for describing plant morphogenesis and development. Bilateral symmetry, which has been widely observed but poorly ...

  • 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 ...

  • 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 ...

  • Thermodynamics analysis of variable viscosity hydromagnetic Couette flow in a rotating system with Hall effects 

    Makinde, Oluwole D.; Eegunjobi, Adetayo S.; Tshehla, M. Samuel (MDPI, 2015-11-20)
    In this paper, we employed both first and second laws of thermodynamics to analyze the flow and thermal decomposition in a variable viscosity Couette flow of a conducting fluid in a rotating system under the combined ...

  • Whole body modelling of glucose metabolism in malaria patients 

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

  • Social and genetic networks of HIV-1 transmission in New York City 

    Wertheim, Joel O.; Kosakovsky Pond, Sergei L.; Forgione, Lisa A.; Mehta, Sanjay R.; Murrell, Ben; Shah, Sharmila; Smith, Davey M.; Scheffler, Konrad; Torian, Lucia V. (PLoS, 2017-01-09)
    Background Sexually transmitted infections spread across contact networks. Partner elicitation and notification are commonly used public health tools to identify, notify, and offer testing to persons linked in these ...

  • Modelling the trends of inpatient and outpatient rehabilitation for methamphetamine in the Western Cape province of South Africa 

    Mushanyu, J.; Nyabadza, F.; Stewart, A. G. R. (BioMed Central, 2015-12-18)
    Background: Dependence on methamphetamine remains one of the major health and social problem in the Western Cape province of South Africa. We consider a mathematical model that takes into account two forms of rehabilita ...

  • 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 ...

  • Modeling the impact of early HIV treatment on the HIV epidemic in South Africa 

    Bekele, Bewketu Teshale (Stellenbosch : Stellenbosch University, 2016-03)
    ENGLISH SUMMARY: Amajor international randomized clinical trial fromStrategic Timing of AntiRetroviral Treatment (START) has found that HIV-infected individuals have a considerably lower risk of developing AIDS if they ...

  • 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. ...

  • Zeta diversity as a concept and metric that unifies incidence-based biodiversity patterns 

    Hui, Cang; McGeoch, Melodie A. (The University of Chicago Press, 2014-11)
    Patterns in species incidence and compositional turnover are central to understanding what drives biodiversity. Here we propose zeta (ζ) diversity, the number of species shared by multiple assemblages, as a concept and ...

  • 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)

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