Further remarks on delay dynamics in Oregonator models

Unal Hakki 1, 2 Islam Boussaada 3, 1 Silviu-Iulian Niculescu 2
2 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 : Motivated by the fact that molecules reacting through some biological channels may need some time-lag due transcription and translation processes, this note is devoted to the study of stability properties of a delayed Oregonator model. In this work, we consider an Oregonator based model consisting of two different delays, which origin the time needed to reach the chemical equilibrium and regeneration of certain chemical variable used as a negative feedback. Positive equilibrium points as well as the stability of solutions in their neighborhood are investigated. Furthermore, Hopf bifurcation points and their crossing frequencies are further discussed.
Type de document :
Communication dans un congrès
IEEE International Conference on Control and Automation, Jun 2016, Kathmandu, Nepal. 2016, 〈10.1109/ICCA.2016.7505261〉
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https://hal-centralesupelec.archives-ouvertes.fr/hal-01445899
Contributeur : Islam Boussaada <>
Soumis le : mercredi 25 janvier 2017 - 14:19:21
Dernière modification le : jeudi 11 janvier 2018 - 06:23:15

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Unal Hakki, Islam Boussaada, Silviu-Iulian Niculescu. Further remarks on delay dynamics in Oregonator models. IEEE International Conference on Control and Automation, Jun 2016, Kathmandu, Nepal. 2016, 〈10.1109/ICCA.2016.7505261〉. 〈hal-01445899〉

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