Browsing Mathematics by Subject "Mathematics"
Now showing items 1-17 of 17
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An unconditionally stable nonstandard finite difference method applied to a mathematical model of HIV infection
(De Gruyter Open, 2013)We formulate and analyze an unconditionally stable nonstandard finite difference method for a mathematical model of HIV transmission dynamics. The dynamics of this model are studied using the qualitative theory of dynamical ... -
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 ... -
Binary codes from m-ary n-cubes Q(n) (m)
(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 ... -
Control and elimination in an SEIR model for the disease dynamics of Covid-19 with vaccination
(AIMS Press, 2023)COVID-19 has become a serious pandemic affecting many countries around the world since it was discovered in 2019. In this research, we present a compartmental model in ordinary differential equations for COVID-19 with ... -
A fitted numerical method for parabolic turning point singularly perturbed problems with an interior layer
(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 ... -
Generalizing the Hilton–Mislin genus group
(Elsevier, 2001)For any group H, let H be the set of all isomorphism classes of groups K such that K H . For a finitely generated group H having finite commu- Ž .tator subgroup H, H , we define a group structure on H ... -
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 ... -
Modeling the impact of combined use of Covid Alert SA app and vaccination to curb Covid-19 infections in South Africa
(Public Library of Science, 2023)The unanticipated continued deep-rooted trend of the Severe Acute Respiratory Syndrome Corona-virus-2 the originator pathogen of the COVID-19 persists posing concurrent anxiety globally. More effort is affixed in the ... -
Multiplication of Crowns
(Instituto de Matematica de Bahia Blanca (INMABB-CONICET), 2013)It is known that the only nite topological spaces that are H-spaces are the discrete spaces. For a nite poset which is weakly equivalent to an H-space, a generalized multiplication may be found after suitable ... -
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 NSFD method for the singularly perturbed Burgers-Huxley equation
(Frontiers Media, 2023)This article focuses on a numerical solution of the singularly perturbed Burgers-Huxley equation. The simultaneous presence of a singular perturbation parameter and the nonlinearity raise the challenge of finding a ... -
On maximal inequalities via comparison principle
(SpringerOpen, 2015)Under certain conditions, we prove a new class of one-sided, weighted, maximal inequalities for a standard Brownian motion. Our method of proof is mainly based on a comparison principle for solutions of a system of ... -
On the exact constants in one-sided maximal inequalitiesfor Bessel processes
(Taylor and Francis Group, 2023)In this paper, we establish a one-sided maximal moment inequalitywith exact constants for Bessel processes. As a consequence, weobtain an exact constant in the Burkholder-Gundy inequality. Theproof of our main result is ... -
Performance of Richardson extrapolation on some numerical methods for a singularly perturbed turning point problem whose solution has boundary layers
(KOREAN MATHEMATICAL SOC, 2014)Investigation of the numerical solution of singularly perturbed turning point problems dates back to late 1970s. However, due to the presence of layers, not many high order schemes could be developed to solve such problems. ... -
Relative homotopy in relational structures
(Cambridge University Press, 2018)The homotopy groups of a finite partially ordered set (poset) can be described entirely in the context of posets, as shown in a paper by B. Larose and C. Tardif. In this paper we describe the relative version of such a ... -
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 ... -
Some meta-cayley graphs on dihedral groups
(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 ...