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Book Sections Year : 2012

Local Asymptotic Stability Conditions for the Positive Equilibrium of a System Modeling Cell Dynamics in Leukemia

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.

Dates and versions

hal-00780527 , version 1 (24-01-2013)

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Hitay Ozbay, Catherine Bonnet, Houda Benjelloun, Jean Clairambault. Local Asymptotic Stability Conditions for the Positive Equilibrium of a System Modeling Cell Dynamics in Leukemia. R. Sipahi and T. Vyhlidal and S-I. Niculescu and P. Pepe. Time Delay Systems: Methods, Applications and New Trends, 423, Springer, pp.187-197, 2012, LNCIS, 978-3-642-25221-1. ⟨10.1007/978-3-642-25221-1_14⟩. ⟨hal-00780527⟩
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