Noise induced bistability in a fluctuating environment

Santosh Kumar Kudtarkar and Renu Dhadwal

Physica A: Statistical Mechanics and its Applications, 2023, vol. 615, issue C

Abstract: Bistability in some systems does not occur at the mean-field level but is induced by noise. In this work, we consider a system which exhibits bistability induced by noise but in the presence of environmental fluctuations. The system can transition between two environmental states at a specified rate. It has absorbing boundaries in one state and can switch between two metastable states in the other. At small values of a system parameter (ϵ), the model exhibits noise-induced switching behaviour and the probability distribution is bimodal which becomes unimodal at large values of ϵ. We calculate the exact eigenvalues and steady-state solutions of the system. We further extend the investigation by calculating the mean switching time between the two metastable states in the small parameter limit and compare its accuracy with simulation results.

Keywords: Fluctuation phenomena; Random processes; Noise and Brownian motion; Stochastic process; Ecology and evolution (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:615:y:2023:i:c:s0378437123001371

DOI: 10.1016/j.physa.2023.128582

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