Browsing Research Articles (Mathematics) by Title
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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 ... 
An assessment of the age reporting in Tanzania population census
(Academic Research Publishing, 2012)The objective of this paper is to provide data users with a worldwide assessment of the age reporting in the Tanzania Population Census 2012 data. Many demographic and socioeconomic data are agesex attributed. However, ... 
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 and partial permutation decoding sets from the odd graphs
(Walter de Gruyter, 2014)For k ≥ 1, the odd graph denoted by O(k), is the graph with the vertexset Ω{k} , the set of all ksubsets of Ω = {1, 2, . . . , 2k + 1}, and any two of its vertices u and v constitute an edge [u, v] if and only if u ∩ ... 
Binary codes from mary ncubes 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 mary ncube Qmn and with adjacency de ned by the Lee metric. For n = 2 and m odd, we obtain the parameters of the code and ... 
Closure, interior and neighbourhood in a category
(Hacettepe University, 2018)The natural correspondences in topology between closure, interior and neighbourhood no longer hold in an abstract categorical setting where subobject lattices are not necessarily Boolean algebras. We analyse three ... 
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 ... 
Codes from adjacency matrices of uniform subset graphs
(Springer, 2017)Studies of the pary codes from the adjacency matrices of uniform subset graphs Γ(n,k,r)Γ(n,k,r) and their reflexive associates have shown that a particular family of codes defined on the subsets are intimately related ... 
Contour integral method for European options with jumps
(Elsevier, 2013)We develop an efficient method for pricing European options with jump on a single asset. Our approach is based on the combination of two powerful numerical methods, the spectral domain decomposition method and the Laplace ... 
Control and elimination in an SEIR model for the disease dynamics of Covid19 with vaccination
(AIMS Press, 2023)COVID19 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 COVID19 with ... 
Effect of spatial configuration of an extended nonlinear KiersteadSlobodkin reactiontransport model with adaptive numerical scheme
(SpringerOpen, 2016)In this paper, we consider the numerical simulations of an extended nonlinear form of KiersteadSlobodkin reactiontransport system in one and two dimensions. We employ the popular fourthorder exponential time differencing ... 
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 ... 
An efficient numerical method for pricing doublebarrier options on an underlying stock governed by a fractal stochastic process.
(MDPI, 2023)After the discovery of the fractal structures of financial markets, enormous effort has been dedicated to finding accurate and stable numerical schemes to solve fractional BlackScholes partial differential equations. This ... 
The fibre of a pinch map in a model category
(Springer Verlag, 2013)In the category of pointed topological spaces, let F be the homotopy fibre of the pinching map X ∪ CA → X ∪ CA/ X from the mapping cone on a cofibration A → X onto the suspension of A. Gray (Proc Lond Math Soc (3) ... 
Fifth order twostage explicit RungeKuttaNystrom method for the direct integration of second order ordinary differential equations
(Academic Journals, 2012)In this paper a direct integration of secondorder Ordinary Differential Equations (ODEs) of the form using the Explicit RungeKuttaNystrom method with higher derivatives is presented. Various numerical schemes are derived ... 
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 ... 
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 timedependent singularly perturbed parabolicconvection–diffusion problems. The solution to the ... 
A fitted numerical method for singularly perturbed parabolic reactiondiffusion problems
(Spring Verlag, 2013)This paper treats a timedependent singularly perturbed reactiondiffusion problem. We semidiscretize the problem in time by means of the classical backward Euler method. We develop a fitted operator finite difference ... 
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 ...