Browsing Research Articles (Mathematics) by Title
Now showing items 120 of 35

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, ... 
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 ... 
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 ... 
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 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 ... 
Implicitexplicit predictorcorrector methods combined with improved spectral methods for pricing European style vanilla and exotic options
(Kent State University, 2013)In this paper we present a robust numerical method to solve several types of European style option pricing problems. The governing equations are described by variants of BlackScholes partial differential equations (BSPDEs) ... 
Mathematical analysis and numerical simulation of a tumorhost model with chemotherapy application
(Communications in Mathematical Biology and Neuroscience, 2018)In this paper, a system of nonlinear quasiparabolic partial differential system, modeling the chemotherapy application of spatial tumorhost interaction is considered. At some certain parameters, we derive the steady ... 
Mathematical analysis and numerical simulation of a tumorhost model with chemotherapy application
(Tianjin Polytechnic University, 2018)In this paper, a system of nonlinear quasiparabolic partial differential system, modeling the chemotherapy application of spatial tumorhost interaction is considered. At some certain parameters, we derive the steady state ... 
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, ... 
A model for control of HIV/AIDS with parental care
(World Scientific Publishing, 2013)In this study we investigate the HIV/AIDS epidemic in a population which experiences a significant flow of immigrants. We derive and analyze a mathematical model that describes the dynamics of HIV infection among the ... 
A model of HIV/AIDS population dynamics including ARV treatment and preexposure prophylaxis
(SpringerOpen, 2018)Antiretroviral treatment (ART) and oral preexposure prophylaxis (PrEP) have recently been used efficiently in management of HIV infection. Preexposure prophylaxis consists in the use of an antiretroviral medication to ...