Browsing Mathematics by Issue Date

Now showing items 41-60 of 70

    • 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 ...

    • A fitted numerical method for parabolic turning point singularly perturbed problems with an interior layer 

      Munyakazi, Justin B.; Patidar, Kailash C.; Sayi, Mbani T. (Wiley, 2019)
      The objective of this paper is to construct and analyzea fitted operator finite difference method (FOFDM) forthe family of time-dependent singularly perturbed parabolicconvection–diffusion problems. The solution to the ...

    • Some meta-cayley graphs on dihedral groups 

      Allie, Imran; Mwambene, Eric (Springer, 2019)
      In this paper, we define meta-Cayley graphs on dihedral groups. We fully determine the automorphism groups of the constructed graphs in question. Further, we prove that some of the graphs that we have constructed do not ...

    • 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 ...

    • 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 ...

    • 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, ...

    • 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 ...

    • 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. ...

    • 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 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 ...

    • Binary codes from m-ary n-cubes Q(n) (m) 

      Key, Jennifer D.; Rodrigues, Bernardo G. (American Institute of Mathematical Sciences, 2021)
      We examine the binary codes from adjacency matrices of the graph with vertices the nodes of the m-ary n-cube Qmn and with adjacency de ned by the Lee metric. For n = 2 and m odd, we obtain the parameters of the code and ...

    • 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 ...

    • 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 ...

    • 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, ...

    • 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 ...

    • Separated and prime compactifications 

      Razafindrakoto, A (Elsevier BV, 2022)
      We discuss conditions under which certain compactifications of topological spaces can be obtained by composing the ultrafilter space monad with suitable reflectors. In particular, we show that these compactifications inherit ...

    • 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 ...

    • 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 ...

    • 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 ...