Browsing Research Articles (Mathematics) by Author "Witbooi, Peter Joseph"

Now showing items 1-3 of 3

    • Control and elimination in an SEIR model for the disease dynamics of Covid-19 with vaccination 

      Witbooi, Peter Joseph; Vyambwera, Sibaliwe Maku; Nsuami, Mozart Umba (AIMS Press, 2023)
      COVID-19 has become a serious pandemic affecting many countries around the world since it was discovered in 2019. In this research, we present a compartmental model in ordinary differential equations for COVID-19 with ...

    • Mathematical analysis of TB model with vaccination and saturated incidence rate 

      Witbooi, Peter Joseph; Mengistu, Ashenafi Kelemu (Hindawi, 2020)
      The model system of ordinary differential equations considers two classes of latently infected individuals, with different risk of becoming infectious. The system has positive solutions. By constructing a Lyapunov function, ...

    • 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 ...