Browsing Research Articles (Mathematics) by Title

Now showing items 64-69 of 69

    • 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 ...

    • A stochastic population model of cholera disease 

      Witbooi, Peter J; Muller, Grant E; Ongansie, Marshall B (American Institute of Mathematical Sciences, 2022-02)
      A cholera population model with stochastic transmission and stochasticity on the environmental reservoir of the cholera bacteria is presented. It is shown that solutions are well-behaved. In comparison with the underlying ...

    • A stochastic TB model for a crowded environment 

      Vyambwera, Sibaliwe Maku; Witbooi, Peter (Hindawi, 2018)
      We propose a stochastic compartmental model for the population dynamics of tuberculosis. The model is applicable to crowded environments such as for people in high density camps or in prisons. We start off with a known ...

    • To use face masks or not after Covid-19 vaccination? An impact analysis using mathematical modeling 

      Kinyili, Musyoka; Munyakazi, Justin B.; Mukhtar, Abdulaziz Y. A. (Frontiers Media, 2022)
      The question of whether to drop or to continue wearing face masks especially after being vaccinated among the public is controversial. This is sourced from the efficacy levels of COVID-19 vaccines developed, approved, ...

    • 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 ...

    • An unconditionally stable nonstandard finite difference method to solve a mathematical model describing Visceral Leishmaniasis 

      Adamu, E.M; Patidar, K.C; Ramanantoanina, A (Elsevier, 2021)
      In this paper, a mathematical model of Visceral Leishmaniasis is considered. The model incorporates three populations, the human, the reservoir and the vector host populations. A detailed analysis of the model is presented. ...