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Linear and structural stability of a cell division process model

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  • Vladimir Balan
  • Ileana Rodica Nicola

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.

Suggested Citation

  • Vladimir Balan & Ileana Rodica Nicola, 2006. "Linear and structural stability of a cell division process model," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2006, pages 1-15, May.
    • Handle: RePEc:hin:jijmms:051848
    DOI: 10.1155/IJMMS/2006/51848
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