A periodic model for the dynamics of cell volume

Philip Korman

Annales Polonici Mathematici (2016)

  • Volume: 116, Issue: 3, page 243-249
  • ISSN: 0066-2216

Abstract

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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].

How to cite

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Philip Korman. "A periodic model for the dynamics of cell volume." Annales Polonici Mathematici 116.3 (2016): 243-249. <http://eudml.org/doc/286083>.

@article{PhilipKorman2016,
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].},
author = {Philip Korman},
journal = {Annales Polonici Mathematici},
keywords = {dynamics of cell volume; global attractor},
language = {eng},
number = {3},
pages = {243-249},
title = {A periodic model for the dynamics of cell volume},
url = {http://eudml.org/doc/286083},
volume = {116},
year = {2016},
}

TY - JOUR
AU - Philip Korman
TI - A periodic model for the dynamics of cell volume
JO - Annales Polonici Mathematici
PY - 2016
VL - 116
IS - 3
SP - 243
EP - 249
AB - 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].
LA - eng
KW - dynamics of cell volume; global attractor
UR - http://eudml.org/doc/286083
ER -

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