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

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Author
Özbay, Hitay
Bonnet, C.
Benjelloun H.
Clairambault J.
Date
2012
Publisher
Springer, Berlin, Heidelberg
Volume
423
Pages
187 - 197
Language
English
Type
Book Chapter
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Book Title
Time Delay Systems: Methods, Applications and New Trends
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.
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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