Browsing Mathematics by Author "Witbooi, Peter J."

Now showing items 1-12 of 12

    • The fibre of a pinch map in a model category 

      Hardie, Keith A.; Witbooi, Peter J. (Springer Verlag, 2013)
      In the category of pointed topological spaces, let F be the homotopy fibre of the pinching map X ∪ CA → X ∪ CA/ X from the mapping cone on a cofibration A → X onto the suspension of A. Gray (Proc Lond Math Soc (3) ...

    • Generalizing the Hilton–Mislin genus group 

      Witbooi, Peter J. (Elsevier, 2001)
      For any group H, let H be the set of all isomorphism classes of groups K such that K H . For a finitely generated group H having finite commu- Ž .tator subgroup H, H , we define a group structure on H ...

    • A model for control of HIV/AIDS with parental care 

      Abiodun, Gbenga Jacob; Marcus, Nizar; Okosun, Kazeem Oare; Witbooi, Peter J. (World Scientific Publishing, 2013)
      In this study we investigate the HIV/AIDS epidemic in a population which experiences a significant flow of immigrants. We derive and analyze a mathematical model that describes the dynamics of HIV infection among the ...

    • A model of HIV/AIDS population dynamics including ARV treatment and pre-exposure prophylaxis 

      Nsuami, Mozart U.; Witbooi, Peter J. (SpringerOpen, 2018)
      Antiretroviral treatment (ART) and oral pre-exposure prophylaxis (PrEP) have recently been used efficiently in management of HIV infection. Pre-exposure prophylaxis consists in the use of an antiretroviral medication to ...

    • A model of population dynamics of TB in a prison system and application to South Africa 

      Witbooi, Peter J.; Vyambwera, Sibaliwe Maku (BioMed Central, 2017)
      BACKGROUND: Tuberculosis (TB) continues to spread in South African prisons in particular, as prisons are over-capacitated and have poor ventilation. The awaiting trial detainees are not screened on admission and are at ...

    • Modeling the dynamics of an epidemic under vaccination in two interacting populations 

      Ahmed, Ibrahim H. I.; Witbooi, Peter J.; Patidar, Kailash (Hindawi, 2012)
      Mathematical modeling of the numerical evolution of infectious diseases has become an important tool for disease control and eradication when possible. Much work has been done on the problem of how a given population is ...

    • Multiplication of Crowns 

      Witbooi, Peter J. (Instituto de Matematica de Bahia Blanca (INMABB-CONICET), 2013)
      It is known that the only nite topological spaces that are H-spaces are the discrete spaces. For a nite poset which is weakly equivalent to an H-space, a generalized multiplication may be found after suitable ...

    • An optimal portfolio and capital management strategy for basel III compliant commercial banks 

      Muller, Grant E.; Witbooi, Peter J. (Hindawi Publishing Corporation, 2014)
      We model a Basel III compliant commercial bank that operates in a financial market consisting of a treasury security, a marketable security, and a loan and we regard the interest rate in the market as being stochastic. We ...

    • An SEIR model with infected immigrants and recovered emigrants 

      Witbooi, Peter J. (Springer Science and Business Media Deutschland GmbH, 2021)
      We present a deterministic SEIR model of the said form. The population in point can be considered as consisting of a local population together with a migrant subpopulation. The migrants come into the local population for ...

    • An SEIRS epidemic model with stochastic transmission 

      Witbooi, Peter J. (Springer, 2017)
      For an SEIRS epidemic model with stochastic perturbations on transmission from the susceptible class to the latent and infectious classes, we prove the existence of global positive solutions. For sufficiently small values ...

    • Stability of an SEIR epidemic model with indepenent stochastic perturbations 

      Witbooi, Peter J. (Elsevier, 2013)
      For an epidemic model of the type mentioned, we prove a theorem on almost sure exponential stability of the disease-free equilibrium. For small values of the diffusion parameter, σ, we describe the stability of the disease ...

    • Tuberculosis in Ethiopia: Optimal intervention strategies and cost-effectiveness analysis 

      Mengistu, Ashenafi Kelemu; Witbooi, Peter J. (MDPI, 2022)
      This paper searches for optimal strategies for the minimization of the number of high-risk latent and active tuberculosis (TB) infectious individuals using real data from Ethiopia. Optimal control theory is harnessed for ...