STABILITY ANALYSIS OF DIFFERENTIAL EQUATIONS WITH TIME-DEPENDENT DELAY

2006/02/01 by Weihua Deng, WEIHUA DENG, YUJIANG WU +3 · 1 citation
Medicine · Engineering · Mathematics · #Mathematical and Theoretical Epidemiology and Ecology Models #Stability and Controllability of Differential Equations #Nonlinear Differential Equations Analysis

paper · doi:10.1142/s0218127406014939

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.

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