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Now showing items 11-20 of 31
Mathematical modeling of the transmission dynamics of malaria in South Sudan
(University of the Western Cape, 2019)
Malaria is a common infection in tropical areas, transmitted between humans
through female anopheles mosquito bites as it seeks blood meal to carry out
egg production. The infection forms a direct threat to the lives of ...
Robust computational methods to simulate slow-fast dynamical systems governed by predator-prey models
(University of the Western Cape, 2019)
Numerical approximations of multiscale problems of important applications in ecology
are investigated. One of the class of models considered in this work are singularly perturbed
(slow-fast) predator-prey systems which ...
Quasi-uniform and syntopogenous structures on categories
(University of the Western Cape, 2019)
In a category C with a proper (E; M)-factorization system for morphisms, we further investigate
categorical topogenous structures and demonstrate their prominent role played
in providing a uni ed approach to the theory ...
Fractional Black-Scholes equations and their robust numerical simulations
(University of Western Cape, 2020)
Conventional partial differential equations under the classical Black-Scholes approach
have been extensively explored over the past few decades in solving option
pricing problems. However, the underlying Efficient Market ...
Interior operators and their applications
(University of the Western Cape, 2019)
Categorical closure operators were introduced by Dikranjan and Giuli in [DG87] and then developed by
these authors and Tholen in [DGT89]. These operators have played an important role in the development
of Categorical ...
Mesh Free Methods for Differential Models In Financial Mathematics
(University of the Western Cape, 2011)
Many problems in financial world are being modeled by means of differential equation. These problems are time dependent, highly nonlinear, stochastic and heavily depend on the previous history of time. A variety of financial ...
Numerical singular perturbation approaches based on spline approximation methods for solving problems in computational finance
(University of the Western Cape, 2011)
Options are a special type of derivative securities because their values are derived from the value of some underlying security. Most options can be grouped into either of the two categories: European options which can be ...
Stochastic modeling of an HIV/AIDS epidemic with treatment
(University of the Western Cape, 2019)
The HIV/AIDS epidemic continues to be among the most devastating diseases in human
history despite the new scientific advances and serious public health interventions.
The greatest burden of HIV/AIDS is still in sub-Saharan ...
Analysis and implementation of robust numerical methods to solve mathematical models of HIV and Malaria co-infection
(University of the Western Cape, 2011)
There is a growing interest in the dynamics of the co-infection of these two diseases. In this thesis, firstly we focus on studying the effect of a distributed delay representing the incubation period for the malaria ...
Mesh free methods for differential models in financial mathematics
(University of the Western Cape, 2011)
Many problems in financial world are being modeled by means of differential equation. These problems are time dependent, highly nonlinear, stochastic and heavily depend on the previous history of time. A variety of financial ...