STABILITY ANALYSIS OF DIFFERENTIAL EQUATIONS WITH TIME-DEPENDENT DELAY-Reference-Cited by-同舟云学术

STABILITY ANALYSIS OF DIFFERENTIAL EQUATIONS WITH TIME-DEPENDENT DELAY

Published:2006-02 Issue:02 Volume:16 Page:465-472
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

DENG WEIHUA¹²,WU YUJIANG¹,LI CHANGPIN²³

Affiliation:

1. School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, P. R. China

2. Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China

3. Department of Electrical, Electronic and Computer Engineering, University of Pretoria, Pretoria 0002, South Africa

Abstract

In this Letter, we study the stability of differential equations with time-dependent delay. Several theorems are established for stability on a finite time interval, called "interval stability" for simplicity, and Liapunov stability. These theorems are applied to the generalized Gauss-type predator–prey models, and satisfactory results are obtained.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127406014939

Reference16 articles.

1. The Slow Passage through a Hopf Bifurcation: Delay, Memory Effects, and Resonance

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