Mathematics: Recent submissions
Now showing items 21-40 of 70
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A robust spectral method for pricing of American put options on zero-coupon bonds
(Global-Science Press, 2018)American put options on a zero-coupon bond problem is reformulated as a linear complementarity problem of the option value and approximated by a nonlinear partial differential equation. The equation is solved by an ... -
Automorphism groups of graph covers and uniform subset graphs
(Taylor and Francis Group, 2018)Hofmeister considered the automorphism groups of antipodal graphs through the exploration of graph covers. In this note weextend the exploration of automorphism groups of distance preserving graph covers. We apply the ... -
Neighbourhood operators: additivity, idempotency and convergence
(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 new parameter-uniform discretization of semilinear singularly perturbed problems
(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 ... -
Tuberculosis in Ethiopia: Optimal intervention strategies and cost-effectiveness analysis
(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 ... -
Mathematical study of transmission dynamics of SARS-CoV-2 with waning immunity
(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 ... -
Separated and prime compactifications
(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
(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 note on the stochastic version of the Gronwall lemma
(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 ... -
To use face masks or not after Covid-19 vaccination? An impact analysis using mathematical modeling
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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 ...
