Asymptotic Stability for an Impulsive Model of Hematopoiesis with Time Delay

Article Preview

Abstract:

A model of hematopoiesis with time delay and impulses is studied. Based on the Lyapunov function method, uniform stability and uniform asymptotic stability of the equilibria is discussed.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

4506-4512

Citation:

Online since:

October 2012

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] M.C. Mackey, L. Glass. Oscillations and chaos in physiological control system, Science, 1977, 197: 287-289.

Google Scholar

[2] Y. Kuang. Delay Differential Equations with Applications in Population Dynamics, Academic Press, (1993).

Google Scholar

[3] G. Liu, J. Yan, F. Zhang. Existence and global attractivity of unique positive periodic solution for a model of hematopoiesis, J Math Anal Appl, 2007, 334: 157-171.

DOI: 10.1016/j.jmaa.2006.12.015

Google Scholar

[4] I. GyÄori, G. Ladas. Oscillation Theory of Delay Differential Equations with Applications, CLarendon, (1991).

Google Scholar

[5] S.H. Saker. Oscillation and global attractivity in hematopoiesis model with peric coefficients, Appl Math Comput, 2002, 142: 477-494.

DOI: 10.1016/s0096-3003(02)00315-6

Google Scholar

[6] X.T. Yang. Existence and global attractivity of unique positive almost periodic solution for a model of hematopoiesis, Appl Math J Chinese Univfferential Equations: Periodic Solutions and Applications, Longman, (1993).

DOI: 10.1007/s11766-010-2111-6

Google Scholar

[8] I. Stamova. Stability Analysis of Impulsive Functional Differential Equations, Walter de Gruyter, Berlin, New York, (2009).

Google Scholar