• Analysis of a mathematical model of malaria transmission 

  Gizachew Tirite Gellow (2023-12-12)

  In this thesis, we analyze a mathematical model for the spread of malaria that consists of ten components. The human host population is divided into two main categories: semiimmune, which included all individuals who ...
• Iterated function systems in partial metric spaces with applications 

  Makhoshi, Vuledzani Thomas (2023-09)

  The mathematical study of fractals is deeply embedded in iterated function systems (IFS) formulated by Hutchinson in 1981. Since then, the development of iterated function systems in metric space setup, has caught the ...
• Mathematics techniques with machine learning implementation for facial recognition 

  Gouaya, Guy Mathias (2023-11-21)

  The rapid evolution of facial recognition technology has elevated its signi cance across diverse applications, ranging from security systems to human-computer interaction. This thesis focuses on the intricate challenges ...
• On quasi-uniform space via strong quasi-uniform covers 

  Ndzinisa, Bonginkhosi Comfort (2024-03)

  A quasi-uniformity, unlike a uniformity, is not determined by its quasi-uniform covers. It is generally known that covering space theory applies to topological spaces that are connected. In this dissertation, we will ...
• Remoteness in the category of locales 

  Nxumalo, Mbekezeli Sibahle (2023-05)

  This thesis is concerned with the study of remote sublocales which are a pointfree version of remote subsets which we de ne using van Mill's de nition of a remote collection. Unlike in van Mill's case though, the remote ...
• Mathematical modeling of echinococcosis in humans, dogs and sheep 

  Birhan, Getachew Bitew (2023-07-23)

  In this study, mathematical models for the dynamics of cystic echinococcosis transmission in populations of dogs, sheep, and people are developed and analyzed. The predator-prey interaction in these populations is rst ...
• Mathematical model of HIV/AIDS, tuberculosis and their coevolution with optimal control: A case study in Ethiopia 

  Ayele, Tigabu Kasia (2023-03)

  The communicable disease tuberculosis (TB), human immunodeficiency virus/acquired immune deficiency syndrome (HIV/AIDS) disease, and their co-infection are the most serious public health issues in the world. In this thesis, ...
• Modelling cancer that is HIV-related in the presence of treatment 

  Sekgobela, Thaithai Wilcan (2021-09)

  In this study, a theoretical nonlinear mathematical model was revised to understand the inter action of HIV-related cancer cells dynamics with treatment. The work done is adopted from the paper by Lou et al. This work ...
• Mathematical modelling and optimal control strategies of the transmission of enterovirus 

  Mabotsa, Malebese (2022-02-16)

  We propose a mathematical model for the transmission dynamics of enterovirus. We prove that if the basic reproduction number R0 1, a suitable Lyapunov function is used to establish the global stability of the disease ...
• Modeling the transmission dynamics of Lassa fever in Nigeria 

  Ojo, Mayowa Michael (2021-09)

  Lassa fever is an infectious and zoonotic disease with incidence ranging between a hundred to three hundred thousand cases, with approximately ve thousand deaths reported yearly in West Africa. This disease has become ...
• In-host model for the co-infection dynamics of high-risk human papillomavirus (HPV) and HIV in the presence of immune response 

  Chazuka, Zviiteyi (2021-09)

  HIV/AIDS continues to be a huge global burden having claimed million lives worldwide. It targets the immune system and defence mechanisms against infections such as the human pa- pillomavirus(HPV). HPV can be classifi ...
• Sublocale-based ideals of rings of integer-valued functions 

  Tlharesakgosi, Batsile (2021-07)

  Let L be a zero-dimensional frame and ZL be the ring of continuous integer-valued functions on L. We associate with each sublocale of L, the Banaschewski compacti cation of L, an ideal of ZL, and study the behaviour of ...
• Mathematical modeling of the recent spread of diseases in metapopulation systems : the case of Ebola virus in West Africa and Zika virus in South America 

  Olupitan, Gabriel Oluwamuyiwa (2021-06)

  In this time of global health issues, there are out there many viruses that are shaking the world, including the chikungunya virus, human immunodeficiency virus, corona virus, ebola virus and zika virus. A metapopulation ...
• Exploring teachers' mathematical meanings for teaching trigonometric ratios and functions to grade 10 learners in the Tshwane South District of Gauteng Province 

  Mphuthi, Gabriel Tshepo (2019-11)

  This study aimed to explore the mathematical meanings possibly entertained by Grade 10 teachers on the particular trigonometric topics of ratios and functions. The quest to embark on this exploration was primarily ...
• The influence of excel modelling professional development on conceptual understanding of periodicity of trigonometric functions 

  Lupahla, Nhlanhla (2020-01)

  Utilising an embedded mixed methods research design, this study investigated the influence of an Excel-based modelling (EBM) teacher professional development on learners’ conceptual understanding (LCU) of periodicity of ...
• Ideals of function rings associated with sublocales 

  Stephen, Dorca Nyamusi (2021-03)

  The ring of real-valued continuous functions on a completely regular frame L is denoted by RL. As usual, βL denotes the Stone-Cech compactification of ˇ L. In the thesis we study ideals of RL induced by sublocales of βL. ...
• Mathematical modelling of low HIV viral load within Ghanaian population 

  Owusu, Frank K. (2020-09)

  Comparatively, HIV like most viruses is very minute, unadorned organism which cannot reproduce unaided. It remains the most deadly disease which has ever hit the planet since the last three decades. The spread of HIV has ...
• Towards hybrid stochastic modeling and simulation of complex systems in multi-scale environments with case studies on the spread of tuberculosis in Democratic Republic of the Congo 

  Kabunga, Selain Kasereka (2020-10)

  Mathematical modeling of the spread of infectious diseases in a population has always been recognized as a powerful tool that can help decision-makers understand how a disease evolves over time. With the evolution of science ...
• Spectral factorization of matrices 

  Gaoseb, Frans Otto (2020-06)

  The research will analyze and compare the current research on the spectral factorization of non-singular and singular matrices. We show that a nonsingular non-scalar matrix A can be written as a product A = BC where the ...
• Well-posedness and mathematical analysis of linear evolution equations with a new parameter 

  Monyayi, Victor Tebogo (2020-01)

  In this dissertation we apply linear evolution equations to the Newtonian derivative, Caputo time fractional derivative and $-time fractional derivative. It is notable that the most utilized fractional order derivatives ...

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