Local asymptotic stability conditions for the positive equilibrium of a system modeling cell dynamics in leukemia

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Local asymptotic stability conditions for the positive equilibrium of a system modeling cell dynamics in leukemia.pdf (419.18 KB)

Date

2012

Authors

Özbay, Hitay
Bonnet, C.
Benjelloun H.
Clairambault J.

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Publisher

Springer, Berlin, Heidelberg

Volume

423

Issue

Pages

187 - 197

Language

English

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Book Chapter

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Series

Lecture Notes in Control and Information Sciences;423

Abstract

A distributed delay system with static nonlinearity has been considered in the literature to study the cell dynamics in leukemia. In this chapter local asymptotic stability conditions are derived for the positive equilibrium point of this nonlinear system. The stability conditions are expressed in terms of inequalities involving parameters of the system. These inequality conditions give guidelines for development of therapeutic actions. © 2012 Springer-Verlag GmbH Berlin Heidelberg.

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Book Title

Time Delay Systems: Methods, Applications and New Trends

Keywords

Cell dynamics, Distributed delays, Inequality conditions, Local asymptotic stability, Positive equilibrium, Stability condition, Static non-linearity, System modeling, Asymptotic stability, Diseases, Dynamics

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http://hdl.handle.net/11693/28216

Published Version (Please cite this version)

http://dx.doi.org/10.1007/978-3-642-25221-1_14
 https://doi.org/10.1007/978-3-642-25221-1

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Scholarly Publications - Electrical and Electronics Engineering