Intelligent e-learning environments (ILE) can significantly increase the attractivity of e-learning systems, as well as their teaching efficiency by adapting to each learner’s profile (LP) and by providing multiple support to the tutor. The paper presents the authoring of tests for learner evaluation in an ILE, using the collaborative learning methodological approach.

In this paper, a SEIRS epidemic model with two delays and pulse vaccination is formulated. The pulse vaccination strategy has been applied to control the spread and transmission of an infectious disease. The global attractivity of infection-free periodic solution are explored. We show that the disease is eradicated when the basic reproduction number is less than unity.

The main purpose of this paper is to discuss the equilibrium attractive properties of a class of multistep Runge–Kutta methods for initial value problems of ordinary differential equations. Some algebraic conditions insuring the equilibrium attractivity are given, and some methods satisfying these algebraic conditions are constructed. Some numerical examples confirm our results. 2005 Elsevier I...

Abstract This article introduces a methodology to evidence the current attractiveness level of Italian high-speed railway stations in GIS environment, involving station services and flow parameters. The model has been relevant detect with lower attractive capacity, afterward, implement attractivity, work proposed employing coworking spaces strategy as service station. Coworking produce benefits...

An N -species ratio-dependent predator–prey food-chain model with distributed time delays is investigated. It is shown that the system is permanent under some appropriate conditions, and sufficient conditions are obtained for the global attractivity of the positive equilibrium of the system. ! 2002 Elsevier Science Inc. All rights reserved.

We prove the reduction principle and study other attractivity properties of the center and center-unstable manifolds in the vicinity of a steady-state solution for quasilinear systems of parabolic partial differential equations with fully nonlinear boundary conditions on bounded or exterior domains.

The Gibbons conjecture stating the one-dimensional symmetry of certain solutions of semilinear elliptic equations has been proved by several authors. We show how attractivity properties of minimal propagating terraces of one-dimensional parabolic problems can be used in a proof of a version of this result and related statements.

In this paper we consider the dynamics of solutions of impulsive differential equations with fixed time moments of impulsive effects on the basis of comparison methods and vector Lyapunov functions. We propose sufficient conditions on the following dynamic properties: stability, attractivity, and some combinations of them.

In this paper the new concepts of restricted total stability and total attractivity is formulated. For this purpose the classical theory of Malkin with suitable changes and the theory of limiting equations, introduced by Sell developed by Artstein and Andreev, are used. Significant examples are presented.