Abstract
In this paper we analyze the global asymptotic stability of the trivial solution for a multi-stage maturity acute myeloid leukemia model. By employing the positivity of the corresponding nonlinear time-delay model, where the nonlinearity is locally Lipschitz, we establish the global exponential stability under the same conditions that are necessary for the local exponential stability. The result is derived for the multi-stage case via a novel construction of linear Lyapunov functionals. In a simpler model of hematopoiesis (without fast self-renewal) our conditions guarantee also global exponential stability with a given decay rate. Moreover, in this simpler case the analysis of the PDE model is presented via novel Lyapunov functionals for the transport equations.
| Original language | English |
|---|---|
| Pages (from-to) | 91-100 |
| Number of pages | 10 |
| Journal | Systems and Control Letters |
| Volume | 88 |
| DOIs | |
| State | Published - Feb 2016 |
UN SDGs
This output contributes to the following UN Sustainable Development Goals (SDGs)
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SDG 3 Good Health and Well-being
Keywords
- Leukemia model
- Lyapunov method
- Positive systems
- Time-delay systems
- Transport equations
All Science Journal Classification (ASJC) codes
- Mechanical Engineering
- General Computer Science
- Electrical and Electronic Engineering
- Control and Systems Engineering
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