THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

LARGE DEVIATION PRINCIPLES OF MUSSEL-ALGAE MODEL WITH STOCHASTIC DIFFUSIONS

ABSTRACT
In this work, we consider the large deviation principles of the stochastic reaction diffusion mussel-algae model. The weak convergence method is used to prove the large deviation principle by using martingale inequality, shrinkage principle and some special energy estimation.
KEYWORDS
PAPER SUBMITTED: 2024-08-28
PAPER REVISED: 2024-11-01
PAPER ACCEPTED: 2024-11-26
PUBLISHED ONLINE: 2025-06-01
DOI REFERENCE: https://doi.org/10.2298/TSCI2502215L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2025, VOLUME 29, ISSUE Issue 2, PAGES [1215 - 1222]
REFERENCES
  1. Ghazaryan, A., et al., Coherent Structures in a Population Model for Mussel-Algae Interaction, SIAM Journal on Applied Dynamical Systems, 14 (2015), 2, pp. 893-913
  2. Shen, Z., et al., Stationary Pattern of a Reaction-Diffusion Mussel-Algae Model, Bulletin of Mathematical Biology, 82 (2020), 51, pp. 1-31
  3. Cangelosi, R., et al., Non-Linear Stability Analyses of Turing Patterns for a Mussel-Algae Model, Journal of Mathematical Biology, 70 (2015), 6, pp. 1249-1294
  4. Liu, W., et al., Large Deviation Principle for a Class of SPDE with Locally Monotone Coefficients, Science China Mathematics, 63 (2020), 6, pp. 1181-1202
  5. Liu, W., Large Deviations for Stochastic Evolution Equations with Small Multiplicative Noise, Applied Mathematics and Optimization, 61 (2010), 1, pp. 27-56
  6. Budhiraja, A., et al., Large Deviations for Infinite Dimensional Stochastic Dynamical Systems, The Annals of Probability, 36 (2008), 4, pp. 1390-1420

2025 Society of Thermal Engineers of Serbia. Published by the VinĨa Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence