Browsing by Subject "Basic reproduction number"

Now showing items 1-4 of 4

    • 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 ...

    • 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 ...

    • Stochastic modeling of a mosquito-borne disease 

      Abiodun, Gbenga J.; Witbooi, Peter Joseph; van Schalkwyk, Garth J. (Springer Nature, 2020)
      We present and analyze a stochastic differential equation (SDE) model for the population dynamics of a mosquito-borne infectious disease. We prove the solutions to be almost surely positive and global. We introduce a ...