Showing papers in "Mathematical and Computer Modelling in 2003"

TL;DR: In this paper, it was shown that the number of elements in a set should be no more than seven plus or minus two, which is the upper limit on the capacity of the human mind to process information on simultaneously interacting elements with reliable accuracy and with validity.

TL;DR: It is proved that all orbits are bounded and must converge to one of several possible equilibrium points, and the long-term behavior of an orbit is classified according to the basin of attraction in which it starts.

TL;DR: In this article, the authors derived some inclusion properties and argument estimates of certain normalized analytic functions in the open unit disk, which are defined by means of a class of multiplier transformations, and investigated the integral preserving properties in a sector for these multiplier transformations.

TL;DR: This paper presents a method to detect defects in the surface representation and to analyse the shape of the approximated surface by constructing a polyhedral data structure from the STL file.

TL;DR: In this paper, the authors introduced a new sequence of linear positive operators G"n","c, which includes some well-known operators as its special cases, and obtained an estimate on the rate of convergence of G''n''c by means of the decomposition technique for functions of bounded variation.

TL;DR: In this article, the authors used the analytic hierarchy process to estimate how much more benefits an alternative yields than the alternative with which it is compared, and put the final values in the idealized mode of the AHP and synthesizes the results for the criteria under benefits.

TL;DR: A single-cell based approach that allows the linking of model parameters to experimental accessible biomechanical and kinetic parameters and provides a potential, at least partly quantitative, description of growing avascu1ar tumors in stages which are not primarily determined by nutrient or oxygen supply is presented.

TL;DR: In this article, a mathematical SIS model with pulse vaccination is formulated and the dynamical behavior of the model is studied, and the basic reproductive number R"0 is defined.

TL;DR: In this paper, the selective harvesting of fishes above a certain age or size by incorporating a time delay in the harvesting term was considered and it was shown that the time delay can cause a stable equilibrium to become unstable and even a switching of stabilities.

TL;DR: A fuzzy model is formulated to determine the fulfillment level of each DR for maximizing the customer satisfaction under the resource limitation and the considerations of technical difficulty and market competition.

TL;DR: In this article, the authors study repair-replace strategies for items sold with a two-dimensional free replacement warranty and show that a proper repair replace strategy can reduce the expected cost of servicing the warranty.

TL;DR: A computational algorithm, based on numerical methods, is given for solving the optimal production control and corrective maintenance planning problem for a failure prone manufacturing system consisting of several identical machines.

TL;DR: In this paper, a simple model of solid avascular tumour growth is studied, which is based on the reaction-diffusion dynamics and mass conservation law and is considered with delay in cell proliferation process.

TL;DR: This research extends the recent results surrounding the modelling of supply chains in a network equilibrium setting to the global arena and proposes a dynamic adjustment process for the continuous time adjustment of the product flows and prices.

TL;DR: In this paper, a mathematical model of frost heave where water is driven through the porous space by the coupling of a pressure and a chemical gradient is presented, based on which boundary values for temperature (or thermal flux) that determine the process of lens formation or frost penetration, once the properties of the soil are known.

TL;DR: In this article, the compactons, a new form of solitary waves free of exponential tails and width independent of amplitude, are formally constructed and further established solitary patterns solutions for the defocusing branches of these models.

TL;DR: A mathematical model is developed to describe the growth and invasion of glioma cells throughout an anatomically accurate virtual human brain as well as the effects of operation on these lesions.

TL;DR: This mechanism of the so-called humoral immunity is considered and described in a model of cellular tumor dynamics in competition with the immune system, expressed in terms of a system of integrodifferential equations.

TL;DR: It is demonstrated that a version of the trie data structure outperforms hash-trees in some data mining applications.

TL;DR: Using the technique of measures of noncompactness in Banach algebra, this article proved art existence theorem for a functional-integral equation, which contains as particular cases a lot of integral and functional equations considered in nonlinear analysis.

TL;DR: In this article, the behavior of soil at the macroscopic scale depends on the behaviour of its components and on the interactions between them at the microscopic scale, assuming that the soil is made of bulk phases and interfaces.

TL;DR: In this article, the accuracy and robustness of POD/ROM on deforming grids are compared to that of rigid grid POD-based reduced-order models, and a new technique is developed that determines the current relative grid deformation and selects the best POD model from those available.

TL;DR: The influence of age structure in the human population in the susceptible-infected recovered (SIR) model used to describe the transmission of Dengue hemorrhagic fever is studied and the stability of the endemic state of this model is discussed.

TL;DR: In this article, the laser surface hardening of steel is formulated in terms of an optimal control problem, where the state equations are a semilinear heat equation and an ordinary differential equation, which describe the evolution of the high temperature phase.

TL;DR: In this article, new criteria for the oscillation of general functional differential equations of the form ddt1a"n" "-(t)ddtddt 1a" n"-"2(t))ddt...1a1"1(t)-ddtx(t)/@a+ q(t),f(x[q(t]) = 0 is established.

TL;DR: In this paper, the variational problem of modeling the optimized dynamic delivery of intensity modulated radiation therapy is investigated and two jaws are determined that expose each point of the field for a predetermined amount of time and minimize the overall time of the radiation delivery.

TL;DR: The approach in this study is to create a productive interaction system between expert, mathematical model, MERO, and artificial neural networks (ANNs), which is especially suitable for the problem of large-scale and long-term simulation.

TL;DR: In this article, the capability of 2D numerical simulation for predicting the vortical structure around a quasibluff bridge deck was evaluated using the laminar form, a number of BANS equation models, and the LES approach.

TL;DR: In this paper, the linear stability of plane-Poiseuille flow at high Reynolds numbers and in the presence of a transverse magnetic field is investigated theoretically using the multideck asymptotic approach due to [1,2].