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 th...
Noise-induced transitions between coexisting states, and the emergence of a new oscillatory state, a...
We discuss a simplified model for a symmetric bistable system with memory or delay, the reference mo...
First published on the web 8th April 2009 We present a simple, unifying theory for stochastic bioche...
We investigate the influence of intrinsic noise on stable states of a one-dimensional dynamical syst...
Many biological systems can switch between two distinct states. Once switched, the system remains st...
We investigate the influence of intrinsic noise on stable states of a one-dimensional dynamical syst...
We study the interplay between noise and a positive feedback mechanism in an excitable system that g...
I study bistable time-delayed feedback systems driven by noise. Based on a two-state model with tran...
The correlated noise-based switches and stochastic resonance are investigated in a bistable single g...
Relaxational processes in bistable potentials close to marginal conditions are studied under the com...
The subject of the present paper is a simplified model for a symmetric bistable system with memory o...
Abstract—The roles of time delay on gene switch and stochastic resonance are systematically explored...
Bistability, or more generally multistability, is an important recurring theme in biological systems...
The residence time distribution of bistable systems in the presence of noise and time-delayed feedba...
An escape mechanism in a bistable system driven by colored noise of large but finite correlation tim...
Noise-induced transitions between coexisting states, and the emergence of a new oscillatory state, a...
We discuss a simplified model for a symmetric bistable system with memory or delay, the reference mo...
First published on the web 8th April 2009 We present a simple, unifying theory for stochastic bioche...
We investigate the influence of intrinsic noise on stable states of a one-dimensional dynamical syst...
Many biological systems can switch between two distinct states. Once switched, the system remains st...
We investigate the influence of intrinsic noise on stable states of a one-dimensional dynamical syst...
We study the interplay between noise and a positive feedback mechanism in an excitable system that g...
I study bistable time-delayed feedback systems driven by noise. Based on a two-state model with tran...
The correlated noise-based switches and stochastic resonance are investigated in a bistable single g...
Relaxational processes in bistable potentials close to marginal conditions are studied under the com...
The subject of the present paper is a simplified model for a symmetric bistable system with memory o...
Abstract—The roles of time delay on gene switch and stochastic resonance are systematically explored...
Bistability, or more generally multistability, is an important recurring theme in biological systems...
The residence time distribution of bistable systems in the presence of noise and time-delayed feedba...
An escape mechanism in a bistable system driven by colored noise of large but finite correlation tim...
Noise-induced transitions between coexisting states, and the emergence of a new oscillatory state, a...
We discuss a simplified model for a symmetric bistable system with memory or delay, the reference mo...
First published on the web 8th April 2009 We present a simple, unifying theory for stochastic bioche...