Qualitative analysis of a model of the cell division cycle

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

View graph of relations


Related Research Unit(s)


Original languageEnglish
Pages (from-to)191-202
Journal / PublicationDynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
Issue number2
Publication statusPublished - Apr 2005


This paper qualitatively analyzes the mathematical model of the cell division for the interactions of Cdc2 and cyclin constructed by Tyson. Some basic dynamical properties such as existence and stability of its steady state, and bifurcations are investigated. Especially, the existence of limit cycle is proved. These conclusions concur well with Tyson's numerical results. Copyright © 2005 Watam Press.

Research Area(s)

  • Bifurcation, Cell division, Existence, Periodic solution