Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/102694
Title: Analysis of stochastic sensitivity of turing patterns in distributed reaction⇓diffusion systems
Authors: Kolinichenko, A. P.
Ryashko, L. B.
Issue Date: 2020
Publisher: Udmurt State University
Citation: Kolinichenko A. P. Analysis of stochastic sensitivity of turing patterns in distributed reaction⇓diffusion systems / A. P. Kolinichenko, L. B. Ryashko. — DOI 10.35634/2226-3594-2020-55-10 // Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta. — 2020. — Vol. 55. — P. 155-163.
Abstract: In this paper, a distributed stochastic Brusselator model with diffusion is studied. We show that a variety of stable spatially heterogeneous patterns is generated in the Turing instability zone. The effect of random noise on the stochastic dynamics near these patterns is analysed by direct numerical simulation. Noise-induced transitions between coexisting patterns are studied. A stochastic sensitivity of the pattern is quantified as the mean-square deviation from the initial unforced pattern. We show that the stochastic sensitivity is spatially non-homogeneous and significantly differs for coexisting patterns. A dependence of the stochastic sensitivity on the variation of diffusion coefficients and intensity of noise is discussed. © 2020 Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta. All rights reserved.
Keywords: REACTION–DIFFUSION MODEL
SELF-ORGANIZATION
STOCHASTIC SENSITIVITY
TURING INSTABILITY
URI: http://hdl.handle.net/10995/102694
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85090966896
PURE ID: 13200241
ISSN: 22263594
DOI: 10.35634/2226-3594-2020-55-10
metadata.dc.description.sponsorship: The study was funded by Russian Science Foundation, project number 16–11–10098.
RSCF project card: 16-11-10098
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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