• 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 ...
    • 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) ...
    • 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 ...
    • 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 ...
    • 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 ...