Impulsive stabilization of delay difference equations and its application in Nicholson's blowflies model

Kaining Wu; Xiaohua Ding

doi:10.1186/1687-1847-2012-88

Impulsive stabilization of delay difference equations and its application in Nicholson's blowflies model

Kaining Wu^*
, Xiaohua Ding

^*Corresponding author for this work

Harbin Institute of Technology Weihai

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

In this article, we consider the impulsive stabilization of delay difference equations. By employing the Lyapunov function and Razumikhin technique, we establish the criteria of exponential stability for impulsive delay difference equations. As an application, by using the results we obtained, we deal with the exponential stability of discrete impulsive delay Nicholson's blowflies model. At last, an example is given to illustrate the efficiency of our results.

Original language	English
Article number	88
Journal	Advances in Difference Equations
Volume	2012
DOIs	https://doi.org/10.1186/1687-1847-2012-88
State	Published - 2012
Externally published	Yes

Keywords

Difference equation
Exponential stability
Impulsive
Nicholson's blowflies model
Stabilization

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10.1186/1687-1847-2012-88

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title = "Impulsive stabilization of delay difference equations and its application in Nicholson's blowflies model",

abstract = "In this article, we consider the impulsive stabilization of delay difference equations. By employing the Lyapunov function and Razumikhin technique, we establish the criteria of exponential stability for impulsive delay difference equations. As an application, by using the results we obtained, we deal with the exponential stability of discrete impulsive delay Nicholson's blowflies model. At last, an example is given to illustrate the efficiency of our results.",

keywords = "Difference equation, Exponential stability, Impulsive, Nicholson's blowflies model, Stabilization",

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AU - Wu, Kaining

AU - Ding, Xiaohua

PY - 2012

Y1 - 2012

N2 - In this article, we consider the impulsive stabilization of delay difference equations. By employing the Lyapunov function and Razumikhin technique, we establish the criteria of exponential stability for impulsive delay difference equations. As an application, by using the results we obtained, we deal with the exponential stability of discrete impulsive delay Nicholson's blowflies model. At last, an example is given to illustrate the efficiency of our results.

AB - In this article, we consider the impulsive stabilization of delay difference equations. By employing the Lyapunov function and Razumikhin technique, we establish the criteria of exponential stability for impulsive delay difference equations. As an application, by using the results we obtained, we deal with the exponential stability of discrete impulsive delay Nicholson's blowflies model. At last, an example is given to illustrate the efficiency of our results.

KW - Difference equation

KW - Exponential stability

KW - Impulsive

KW - Nicholson's blowflies model

KW - Stabilization

UR - https://www.scopus.com/pages/publications/84871258428

U2 - 10.1186/1687-1847-2012-88

DO - 10.1186/1687-1847-2012-88

M3 - 文章

AN - SCOPUS:84871258428

SN - 1687-1839

VL - 2012

JO - Advances in Difference Equations

JF - Advances in Difference Equations

M1 - 88

ER -

Impulsive stabilization of delay difference equations and its application in Nicholson's blowflies model

Abstract

Keywords

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