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Stability analysis for discrete biological models using algebraic methods. (English) Zbl 1183.92038

Suzuki, Masakazu (ed.) et al., The joint conference of ASCM 2009 and MACIS 2009. 9th international conference on Asian symposium on computer mathematics and 3rd international conference on mathematical aspects of computer and information sciences, Fukuoka, Japan, December 14–17, 2009. Selected papers. Fukuoka: Kyushu University, Faculty of Mathematics. COE Lecture Note 22, 382-385 (2009).
Summary: This paper is concerned with the stability analysis of biological networks modeled as discrete and finite dynamical systems. We show how to use algebraic methods to detect steady states for such systems and to analyze the stability of each steady state for discrete dynamical systems.
For the entire collection see [Zbl 1181.68015].

MSC:

92C42 Systems biology, networks
37N25 Dynamical systems in biology
39A30 Stability theory for difference equations
39A10 Additive difference equations
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