| Issue |
ITM Web of Conferences
Volume 4, 2015
Workshop on Mathematics for Life Sciences (WMLS 2014)
|
|
|---|---|---|
| Article Number | 01005 | |
| Number of page(s) | 14 | |
| DOI | https://doi.org/10.1051/itmconf/20150401005 | |
| Published online | 07 May 2015 | |
Analysis of mathematical model of leukemia
1 Laboratory of Biomathematics, Univ. Sidi Bel Abbes, PB. 89, Sidi Bel Abbes 22000, Algeria
2 Université de Lyon, CNRS UMR 5208, Université Lyon 1, Institut Camille Jordan, 43 blvd. du 11 novembre 1918, 69622 Villeurbanne Cedex, France
a e-mail: mhelal_abbes@yahoo.fr
b e-mail: mostafa.adimy@inria.fr
c e-mail: lakmeche@yahoo.fr
d e-mail: pujo@math.univ-lyon1.fr
In this paper, a model describing the dynamic of chronic myeloid leukemia is studied. By analyzing the corresponding characteristic equations, the local stability of trivial and nontrivial equilibria are discussed. By establishing appropriate Lyapunov functions, we prove the global stability of the positive constant equilibrium solutions.
© Owned by the authors, published by EDP Sciences, 2015
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