Linear and structural stability of a cell division process model

Vladimir Balan and Ileana Rodica Nicola

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-15

Abstract:

The paper investigates the linear stability of mammalian physiology time-delayed flow for three distinct cases (normal cell cycle, a neoplasmic cell cycle, and multiple cell arrest states), for the Dirac, uniform, and exponential distributions. For the Dirac distribution case, it is shown that the model exhibits a Hopf bifurcation for certain values of the parameters involved in the system. As well, for these values, the structural stability of the SODE is studied, using the five KCC-invariants of the second-order canonical extension of the SODE, and all the cases prove to be Jacobi unstable.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:051848

DOI: 10.1155/IJMMS/2006/51848

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