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Mathematical study of transmission dynamics of SARSCoV2 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 (COVID19) caused by severe acute respiratory syndrome coronavirus 2 (SARSCoV2). 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 twodimensional singularly perturbed semilinear convectiondiffusion problems
(Frontiers Media, 2022)Despite the availability of an abundant literature on singularly perturbed problems, interest toward nonlinear problems has been limited. In particular, parameteruniform 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 Covid19 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 COVID19 vaccines developed, approved, ... 
Mathematical modeling and impact analysis of the use of COVID alert SA app
(AIMS Press, 2022)The human lifethreatening novel Severe Acute Respiratory Syndrome Coronavirus2 (SARSCoV2) has lasted for over a year escalating and posing simultaneous anxiety daybyday globally since its first report in the late ... 
A stochastic population model of cholera disease
(American Institute of Mathematical Sciences, 202202)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 wellbehaved. 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, 202108)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 ... 
Quasiuniform structures determined by closure operators
(Elsevier, 2021)We demonstrate a onetoone correspondence between idempotent closure operators and the socalled saturated quasiuniform 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 timefractional Black–Scholes equation
(Springer Nature, 2021)Dividend paying European stock options are modeled using a timefractional 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 mosquitoborne disease
(Springer Nature, 2020)We present and analyze a stochastic differential equation (SDE) model for the population dynamics of a mosquitoborne 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
(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
(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 microenvironment
(Tianjin Polytechnic University, 2019)In this paper, we consider a quasi nonlinear reactiondiffusion model designed to mimic tumor cells’ proliferation and migration under the influence of their microenvironment in vitro. Since the model can be used to ... 
A fitted numerical method for a model arising in HIVrelated cancerimmune system dynamics
(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
(American Institute of Mathematical Sciences, 2019)In this paper, we extend a system of coupled first order nonlinear system of delay differential equations (DDEs) arising in modeling of stoichiometry of tumour dynamics, to a system of diffusionreaction system of partial ...