Stability of the equilibria of a dynamic system modeling stem cell transplantation

Abstract

This paper provides a complete analysis of the stability of the steady-states for a three-dimensional system modeling cell dynamics after bone marrow transplantation in chronic myeloid leukemia. There are given results for both chronic and accelerated-acute phases of the disease.

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Acknowledgements

The author would like to thank Professor Damian Trif and Professor Radu Precup for their assistance in preparing this work.

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Correspondence to Lorand Gabriel Parajdi.

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Parajdi, L.G. Stability of the equilibria of a dynamic system modeling stem cell transplantation. Ricerche mat 69, 579–601 (2020). https://doi.org/10.1007/s11587-019-00473-9

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Keywords

  • Stability
  • Dynamical system
  • Numerical simulations
  • Mathematical modeling

Mathematics Subject Classification

  • 37C75
  • 37N25
  • 34D23