Stability of the discrete population model with two delays

Nigmatulin, Ravil; Kipnis, M. M.

doi:10.1109/phycon.2003.1236838

Cited by 3 publications

(1 citation statement)

References 5 publications

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“…As we all know, in many applications, we use discrete systems rather than continuous ones as the mathematical modeling, for example, numerical analysis, control theory, population models, and computer science [1][2][3]. Therefore, more and more attention has been paid to the theory of discrete systems, and some results for the stability of discrete systems have been obtained over the past few years [4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Practical Stability of Impulsive Discrete Systems with Time Delays

Sun¹,

Liu

2014

Abstract and Applied Analysis

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The purpose of this paper is to investigate the practical stability problem for impulsive discrete systems with time delays. By using Lyapunov functions and the Razumikhin-type technique, some criteria which guarantee the practical stability and uniformly asymptotically practical stability of the addressed systems are provided. Finally, two examples are presented to illustrate the criteria.Hindawi Publishing Corporation Abstract and Applied Analysis Volume 2014, Article ID 954121, 10 pages http://dx.

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