Analysis of mathematical model of leukemia

Analysis of mathematical model of leukemia

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...

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Veröffentlicht in:ITM web of conferences 2015, Vol.4, p.1005
Hauptverfasser: Helal, Mohamed, Adimy, Mostafa, Lakmeche, Abdelkader, Pujo-Menjouet, Laurent
Format: Artikel
Sprache:eng
Schlagworte:
Leukemia
Liapunov functions
Stability analysis
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Zusammenfassung: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.
ISSN:2271-2097
2431-7578
2271-2097
DOI:10.1051/itmconf/20150401005