The dynamics of an impulsively controlled three-species food chain system with the BeddingtonDeAngelis functional response are investigated using the Floquet theory and a comparison method. In the system, three species are prey, mid-predator, and top-predator. Under an integrated control strategy in sense of biological and chemical controls, the condition for extinction of the prey and the mid-...

and Applied Analysis 3 (A 1 ) f i is globally Lipschitz continuous, that is, for any i ∈ N, there exists nonnegative constant L i such that 󵄨󵄨󵄨fi (u) − fi (v) 󵄨󵄨󵄨 ≤ L i |u − v| for u, v ∈ R. (3) (A 2 ) For any k ∈ N, there is a nonnegative constant η k such that 󵄨󵄨󵄨u + Iik (u) − v − Iik (v) 󵄨󵄨󵄨 ≤ ηk |u − v| for u, v ∈ R, i ∈ N. (4) Let (2) be the drive system, and let the response system with r...

The dynamics of an impulsively controlled three-trophic food chain system with general nonlinear functional responses for the intermediate consumer and the top predator is analyzed using Floquet theory and comparison techniques. It is assumed that the impulsive controls act in a periodic fashion, the constant impulse (the biological control) and the proportional impulses (the chemical controls)...

The paper addresses the question of the abolition of the Stability and Growth Pact. More and more authors and policymakers are arising the negative impacts of the European deficit rule on the countries and their ability to respond an asymmetric economic shock. Some others are asking for a redefinition of the Pact. If the focus is only fiscal and in light of the non-respect of the Pact by two of...

Objective: The purposes of this study were to examine the relationships between personality traits, cognitive emotion regulation strategies and impulsive behaviors of borderline personality disorder, and to explore which personality traits and cognitive emotion regulation strategies can better predict and explain the impulsive behaviors in borderline personality disorder. Methods: This study...

ABSTRACT We numerically follow the response of density-enhanced slabs to impulsive, localized, transverse velocity perturbations by working in framework ideal magnetohydrodynamics (MHD). Both linear and non-linear regimes are addressed. Kink wave trains seen develop along examined slabs, sharing characteristics that more oscillatory patterns emerge with time apparent wavelength increases distan...

We show that anti-phase synchronization can emerge in a pair of electrically coupled micromechanical beams. Under impulsive perturbation, desynchronization occurs, distorting the output of each beam. We derive a formula for the relaxation rate and verify it numerically. We also find that the difference between the displacements of the two beams, or the differential signal, is robustly immune to...

In this paper, we consider the global exponential stability of the equilibrium point of Hopfield neural networks with delays and impulsive perturbation. Some new exponential stability criteria of the system are derived by using the Lyapunov functional method and the linear matrix inequality approach for estimating the upper bound of the derivative of Lyapunov functional. Finally, we illustrate ...

In the present study, a computerized test was used to compare the attention level of a group of healthy older participants aged 75 with that of a group of students aged 31. The second part of the study examined only the older participants and sought to discover how three measures of lifestyle were related to measures of attention. The results showed that the young group performed better on meas...

The present paper investigates the existence of integral manifolds for impulsive differential equations with variable perturbations. By means of piecewise continuous functions which are generalizations of the classical Lyapunov’s functions, sufficient conditions for the existence of integral manifolds of such equations are found. 1. Preliminary notes and definitions. In recent years, the impuls...