Eur. Phys. J. B (2014) 87: 136
https://doi.org/10.1140/epjb/e2014-50218-x

Regular Article

Noises- and delay-enhanced stability in a bistable dynamical system describing chemical reaction

¹ Faculty of Science, Kunming University of Science and Technology, Kunming 650093, Yunnan, P.R. China
² State Key Laboratory of Complex Nonferrous Metal Resources Clean Utilization, Kunming University of Science and Technology, Kunming 650093, P.R. China

^a e-mail: zchh2009@126.com

Received: 31 March 2014
Received in final form: 28 April 2014
Published online: 18 June 2014

Abstract

In this paper, we consider the Schlögl model with time-delayed feedback to study the switching behavior of a bistable chemical reaction system in the presence of cross-correlated multiplicative and additive noise sources. Our results show that (i) the multiplicative noise (or additive noise) can induce the switch from high (or low) concentration state to low (or high) concentration one; (ii) the mean first passage time (MFPT) of switch from high concentration state to the low concentration one as functions of the noise strengths exhibits a maximum, which is the signature of the noise enhanced stability (NES) phenomenon for the high concentration state; and (iii) as the value of cross-correlation strength λ, time delay τ, or strength K of the feedback loop increases, the maximum in the MFPT increases, i.e., λ, τ, or K can enhance stability of the high concentration state.