A periodic model for the dynamics of cell volume

• Autorzy: Philip Korman
• Języki publikacji: EN

Abstrakty

EN

We prove the existence and uniqueness of a positive periodic solution for a model describing the dynamics of cell volume flux, introduced by Julio A. Hernández [Bull. Math. Biol. 69 (2007), 1631-1648]. We also show that the periodic solution is a global attractor. Our results confirm the conjectures made in an interesting recent book of P. J. Torres [Atlantis Press, 2015].

Kategorie tematyczne

• 34C12: Monotone systems
• 92C45: Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.)
• 34C25: Periodic solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2016
• Tom: 116
• Numer: 3
• Strony: 243-249

Daty

wydano

2016

Twórcy

autor

Philip Korman

• Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH 45221-0025, U.S.A.

Identyfikatory

DOI

10.4064/ap3857-3-2016