Browsing Mathematics by Title

Now showing items 27-46 of 70

    • Mathematical modeling and impact analysis of the use of COVID alert SA app 

      Kinyili, Musyoka; Munyakazi, Justin B; Mukhtar, Abdulaziz YA (AIMS Press, 2022)
      The human life-threatening novel Severe Acute Respiratory Syndrome Corona-virus-2 (SARS-CoV-2) has lasted for over a year escalating and posing simultaneous anxiety day-by-day globally since its first report in the late ...

    • Mathematical study of transmission dynamics of SARS-CoV-2 with waning immunity 

      Egbelowo, Oluwaseun F.; Munyakazi, Justin B.; Hoang, Manh Tuan (AIMS Press, 2022)
      The aim of this work is to provide a new mathematical model that studies transmission dynamics of Coronavirus disease 2019 (COVID-19) caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). The model ...

    • 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 malaria population dynamics with migrants 

      Witbooi, Peter; Abiodun, Gbenga; Nsuami, Mozart (Mathematical Biosciences and Engineering, 2021-08)
      We present a compartmental model in ordinary differential equations of malaria disease transmission, accommodating the effect of indoor residual spraying on the vector population. The model allows for influx of infected ...

    • 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 ...

    • Modeling the impact of combined use of Covid Alert SA app and vaccination to curb Covid-19 infections in South Africa 

      Kinyili, Musyoka; Munyakazi, Justin B.; Mukhtar, Abdulaziz Y. A. (Public Library of Science, 2023)
      The unanticipated continued deep-rooted trend of the Severe Acute Respiratory Syndrome Corona-virus-2 the originator pathogen of the COVID-19 persists posing concurrent anxiety globally. More effort is affixed in the ...

    • Modeling the impact of combined use of Covid Alert SA app and vaccination to curb Covid-19 infections in South Africa 

      Kinyili, Musyoka; Munyakazi, Justin B.; Mukhtar, Abdulaziz Y. A. (Public Library of Science, 2023)
      The unanticipated continued deep-rooted trend of the Severe Acute Respiratory Syndrome Corona-virus-2 the originator pathogen of the COVID-19 persists posing concurrent anxiety globally. More effort is affixed in the ...

    • Modelling the effect of bednet coverage on malaria transmission in South Sudan 

      Mukhtar, Abdulaziz Y. A.; Munyakazi, Justin B.; Ouifki, Rachid; Clark, Allan E. (Public Library of Science, 2018)
      A campaign for malaria control, using Long Lasting Insecticide Nets (LLINs) was launched in South Sudan in 2009. The success of such a campaign often depends upon adequate available resources and reliable surveillance ...

    • 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 ...

    • Neighbourhood operators: additivity, idempotency and convergence 

      Razafindrakoto, Ando (Springerlink, 2019)
      We define and discuss the notions of additivity and idempotency for neighbourhood and interior operators. We then propose an order-theoretic description of the notion of convergence that was introduced by D. Holgate and ...

    • New parameter-uniform discretisations of singularly perturbed Volterra integro-differential equations 

      Iragi, Bakulikira C.; Munyakazi, Justin B. (Natural Sciences Publishing, 2018)
      We design and analyse two numerical methods namely a fitted mesh and a fitted operator finite difference methods for solving singularly perturbed Volterra integro-differential equations. The fitted mesh method we propose ...

    • A new parameter-uniform discretization of semilinear singularly perturbed problems 

      Munyakazi, Justin B.; Kehinde, Olawale O. (MDPI, 2022)
      In this paper, we present a numerical approach to solving singularly perturbed semilinear convection-diffusion problems. The nonlinear part of the problem is linearized via the quasilinearization technique. We then design ...

    • A note on the stochastic version of the Gronwall lemma 

      Makasu, Cloud (Taylor & Francis Group, 2022)
      We prove a stochastic version of the Gronwall lemma assuming that the underlying martingale has a terminal random value in Lp, where 1 p < 1: The proof of the present result is mainly based on a sharp martingale inequality ...

    • A NSFD discretization of two-dimensional singularly perturbed semilinear convection-diffusion problems 

      Kehinde, Olawale O.; Munyakazi, Justin B.; Appadu, Appanah R. (Frontiers Media, 2022)
      Despite the availability of an abundant literature on singularly perturbed problems, interest toward non-linear problems has been limited. In particular, parameter-uniform methods for singularly perturbed semilinear ...

    • A NSFD method for the singularly perturbed Burgers-Huxley equation 

      Derzie, Eshetu B.; Munyakazi, Justin B.; Dinka, Tekle G. (Frontiers Media, 2023)
      This article focuses on a numerical solution of the singularly perturbed Burgers-Huxley equation. The simultaneous presence of a singular perturbation parameter and the nonlinearity raise the challenge of finding a reliable ...

    • A NSFD method for the singularly perturbed Burgers-Huxley equation 

      Derzie, Eshetu B.; Munyakazi, Justin B.; Dinka, Tekle G. (Frontiers Media, 2023)
      This article focuses on a numerical solution of the singularly perturbed Burgers-Huxley equation. The simultaneous presence of a singular perturbation parameter and the nonlinearity raise the challenge of finding a ...

    • Numerical solution for a problem arising in angiogenic signalling 

      Kolade, Owolabi; Kailash, Patidar; Shikongo, Albert (American Institute of Mathematical Sciences, 2019)
      Since the process of angiogenesis is controlled by chemical signals, which stimulate both repair of damaged blood vessels and formation of new blood vessels, then other chemical signals known as angiogenesis inhibitors ...

    • Numerical treatment of Kap's equation using a class of fourth order method 

      Akanbi, M.A.; Okunuga, S.A.; Sofoluwe, A.B. (Academic Journals, 2011)
      Kap's equation is a stiff initial value problem. This paper deals with the treatment of Kap's equation using a class of 4th order explicit Runge-Kutta method. Numerical computation was carried out using Microsoft Visual ...