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  • 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, ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • Codenseness and openness with respect to an interior operator 

    Assfaw, F.S; Holgate, D (Springer Nature, 2021)
    Working in an arbitrary category endowed with a fixed (E, M) -factorization system such that M is a fixed class of monomorphisms, we first define and study a concept of codense morphisms with respect to a given categorical ...
  • Quasi-uniform structures determined by closure operators 

    Holgate, D; Iragi, M (Elsevier, 2021)
    We demonstrate a one-to-one correspondence between idempotent closure operators and the so-called saturated quasi-uniform structures on a category C. Not only this result allows to obtain a categorical counterpart P of the ...
  • 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. ...
  • A robust numerical solution to a time-fractional Black–Scholes equation 

    Nuugulu, S.M; Gideon, F; Patidar, K.C (Springer Nature, 2021)
    Dividend paying European stock options are modeled using a time-fractional Black–Scholes (tfBS) partial differential equation (PDE). The underlying fractional stochastic dynamics explored in this work are appropriate for ...
  • 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 ...
  • 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 ...
  • A fitted operator method for a model arising in vascular tumor dynamics 

    Kolade, Owolabi; Kailash, Patidar; Shikongo, Albert (Tianjin Polytechnic University, 2020)
    In this paper, we consider a model for the population kinetics of human tumor cells in vitro, differentiated by phases of the cell division cycle and length of time within each phase. Since it is not easy to isolate ...
  • A fitted operator method for tumor cells dynamics in their micro-environment 

    Kolade, Owolabi; Kailash, Patidar; Shikongo, Albert (Tianjin Polytechnic University, 2019)
    In this paper, we consider a quasi non-linear reaction-diffusion model designed to mimic tumor cells’ proliferation and migration under the influence of their micro-environment in vitro. Since the model can be used to ...
  • A fitted numerical method for a model arising in HIV-related cancer-immune system dynamics 

    Kolade, Owolabi; Kailash, Patidar; Shikongo, Albert (Tianjin Polytechnic University, 2019)
    The effect of diseases such as cancer and HIV among our societies is evident. Thus, from the mathematical point of view many models has been developed with the aim to contribute towards understanding the dynamics of ...
  • Efficient numerical method for a model arising in biological stoichiometry of tumor dynamics 

    Kolade, Owolabi; Kailash, Patidar; Shikongo, Albert (American Institute of Mathematical Sciences, 2019)
    In this paper, we extend a system of coupled first order non-linear system of delay differential equations (DDEs) arising in modeling of stoichiometry of tumour dynamics, to a system of diffusion-reaction system of partial ...
  • Mathematical analysis and numerical simulation of a tumor-host model with chemotherapy application 

    Kolade, Owolabi; Kailash, Patidar; Shikongo, Albert (Tianjin Polytechnic University, 2018)
    In this paper, a system of non-linear quasi-parabolic partial differential system, modeling the chemotherapy application of spatial tumor-host interaction is considered. At some certain parameters, we derive the steady state ...
  • Closure, interior and neighbourhood in a category 

    Holgate, David; Slapal, Josef (Hacettepe University, 2018)
    The natural correspondences in topology between closure, interior and neighbourhood no longer hold in an abstract categorical setting where subobject lattices are not necessarily Boolean algebras. We analyse three ...
  • 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 ...
  • Mathematical analysis and numerical simulation of a tumor-host model with chemotherapy application 

    Owolab, Kolade M.; Patidar, Kailash C.; Shikongo, Albert (Communications in Mathematical Biology and Neuroscience, 2018)
    In this paper, a system of non-linear quasi-parabolic partial differential system, modeling the chemotherapy application of spatial tumor-host interaction is considered. At some certain parameters, we derive the steady ...

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