Stability and bifurcation analysis in hematopoietic stem cell dynamics with multiple delays (Q602740)
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scientific article; zbMATH DE number 5810800
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability and bifurcation analysis in hematopoietic stem cell dynamics with multiple delays |
scientific article; zbMATH DE number 5810800 |
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Stability and bifurcation analysis in hematopoietic stem cell dynamics with multiple delays (English)
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5 November 2010
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This stem cell model is a system of differential equations with time delays. The authors applied the Lyapunov method to give conditions that ensure the global asymptotical stability. Using the Hopf bifurcation and a continuation theorem of coincidence degree, it is shown that the system has a positive periodic solution. Numerical simulations are also presented to illustrate the results.
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global stability
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Hopf bifurcation
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periodic solution
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systems with delays
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