On the global attractivity controversy for a delay model of hematopoiesis

Recently, particular counterexamples were constructed to some theorems of a previous paper, concerning the global attractivity of the positive equilibrium for the delay equation _pðtÞ ¼ bpm ðt À sÞ 1 þ pnðt À sÞ À cpðtÞ: The purpose of this note is to explore the underlying phenomenon from a more general point of view, and to give an explanation of the situation. A theorem is proved regarding attractivity properties of the equilibrium zero. Ó 2007 Elsevier Inc. All rights reserved.

• Type: Journal
• Year: 2007
• Where: AMC
• Authors: Gergely Röst
• Keywords: AMC 2007, Delay Equation _pðtÞ, Particular Counterexamples, Positive Equilibrium