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      • Department of Electrical and Electronics Engineering
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      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
      Item Usage Stats
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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
      Permalink
      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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      • Department of Electrical and Electronics Engineering 3524
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