A Delay-Based Sustained Chemical Oscillator: Qualitative Analysis of Oregonator-Based Models

Hakki Ulas Unal 1 Islam Boussaada 1, 2, 3 Silviu-Iulian Niculescu 1, 3
3 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506
Abstract : The Belousov-Zhabotinsky (BZ) reaction is a complex chemical reaction exhibiting sustained oscillations observed in some real biological oscillators. However, its oscillatory behavior is represented by a simple mechanism, called the Oregonator. Since delay induces unexpected behaviors, the dynamics in BZ reaction in the presence of delays has not been sufficiently addressed. In order to understand the effects induced by the delay parameter in the reaction, by using a two-delay Oregonator-based model, we address the qualitative properties (positivity, boundedness, and stability) of the model in terms of delayed-concentration and delayed-activation. Numerical results are presented to verify the properties of the model described by a qualitative/quantitative analysis.
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Article dans une revue
IEEE Life Sciences Letters, 2017, 3 (3), pp.9 - 12. 〈10.1109/LLS.2017.2756834〉
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https://hal-centralesupelec.archives-ouvertes.fr/hal-01656725
Contributeur : Islam Boussaada <>
Soumis le : mercredi 6 décembre 2017 - 01:25:09
Dernière modification le : jeudi 5 avril 2018 - 12:30:14

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Hakki Ulas Unal, Islam Boussaada, Silviu-Iulian Niculescu. A Delay-Based Sustained Chemical Oscillator: Qualitative Analysis of Oregonator-Based Models. IEEE Life Sciences Letters, 2017, 3 (3), pp.9 - 12. 〈10.1109/LLS.2017.2756834〉. 〈hal-01656725〉

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