A periodic model for the dynamics of cell volume
Volume 116 / 2016
Annales Polonici Mathematici 116 (2016), 243-249
MSC: Primary 34C12, 34C25; Secondary 92C45.
DOI: 10.4064/ap3857-3-2016
Published online: 9 May 2016
Abstract
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].
