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arXiv · 1403.5435

General model of a cascade of reactions with time delays: global stability analysis

Marek Bodnar
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Abstract

The problem considered in this paper consists of a cascade of reactions with discrete as well as distributed delays, which arose in the context of Hes1 gene expression. For the abstract general model sufficient conditions for global stability are presented. Then the abstract result is applied to the Hes1 model.

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Marek Bodnar. 2014-03-21. General model of a cascade of reactions with time delays: global stability analysis. https://doi.org/10.1016/j.jde.2015.02.024

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