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A minimal model of burst-noise induced bistability

Falk, Johannes ; Mendler, Marc ; Drossel, Barbara (2017):
A minimal model of burst-noise induced bistability.
In: PLOS ONE, 12 (4), PLOS, ISSN 1932-6203,

Copyright Information: CC BY 4.0 International - Creative Commons, Attribution.

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Item Type: Article
Origin: Secondary publication via sponsored Golden Open Access
Title: A minimal model of burst-noise induced bistability
Language: English

We investigate the influence of intrinsic noise on stable states of a one-dimensional dynamical system that shows in its deterministic version a saddle-node bifurcation between monostable and bistable behaviour. The system is a modified version of the SchloÈ gl model, which is a chemical reaction system with only one type of molecule. The strength of the intrinsic noise is varied without changing the deterministic description by introducing bursts in the autocatalytic production step. We study the transitions between monostable and bistable behavior in this system by evaluating the number of maxima of the stationary probability distribution. We find that changing the size of bursts can destroy and even induce saddle-node bifurcations. This means that a bursty production of molecules can qualitatively change the dynamics of a chemical reaction system even when the deterministic description remains unchanged.

Journal or Publication Title: PLOS ONE
Volume of the journal: 12
Issue Number: 4
Place of Publication: Darmstadt
Publisher: PLOS
Classification DDC: 500 Naturwissenschaften und Mathematik > 530 Physik
Divisions: 05 Department of Physics > Institute for condensed matter physics (2021 merged in Institute for Condensed Matter Physics)
Date Deposited: 04 May 2017 07:49
Last Modified: 13 Dec 2022 11:03
Corresponding Links:
URN: urn:nbn:de:tuda-tuprints-62073
Identification Number: 10.1371/journal.pone.0176410
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/6207
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