Mackey-Glass model of hematopoiesis with monotone feedback revisited

Leonid Berezansky, Elena Braverman, Lev Idels

Research output: Contribution to journalReview articlepeer-review

22 Scopus citations

Abstract

For the blood cell production modeldxdt=-αx(t)+F0 θnθn+xn(t-τ),we review known results. Permanence of solutions, oscillation and stability of a positive equilibrium or a positive periodic solution are analyzed for non-Autonomous generalizations of this equation, with both concentrated and distributed delays.

Original languageEnglish
Pages (from-to)4892-4907
Number of pages16
JournalApplied Mathematics and Computation
Volume219
Issue number9
DOIs
StatePublished - 1 Jan 2013

Keywords

  • Blood cell production
  • Global asymptotic stability
  • Local stability
  • Mackey-Glass equation
  • Negative feedback
  • Non-oscillation
  • Oscillation
  • Permanence

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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