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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 ...
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 ...
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, ...
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 ...
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 ...
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 ...
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 ...
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 ...