Large deviations for stochastic predator-prey model with Lévy noise

被引：0

作者：

Sridevi, C. S. ^{[1
]}

Suvinthra, Murugan ^{[1
]}

Balachandran, Krishnan ^{[2
]}

机构：

[1] Bharathiar Univ, Dept Appl Math, Coimbatore 641046, India

[2] Bharathiar Univ, Dept Math, Coimbatore 641046, India

来源：

NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2024年 / 29卷 / 04期

关键词：

large deviation principle; predator-prey model; weak convergence; L & eacute; vy noise; EQUATIONS;

D O I：

10.15388/namc.2024.29.35318

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper discusses the large deviations for stochastic predator-prey model driven by multiplicative L & eacute;vy noise. Using Galerkin approximation, we initially prove the existence and uniqueness of solution. Due to the equivalence between Laplace principle and large deviation principle under a Polish space, the method of weak convergence has been followed in order to establish our results for this coupled system of equations.

引用

页码：720 / 745

页数：26

共 16 条

[1] Applebaum D, 2009, CAM ST AD M, V93, P1
[2] Existence of a unique solution and invariant measures for the stochastic Landau-Lifshitz-Bloch equation
Brzezniak, Zdzislaw
Goldys, Beniamin
Le, Kim Ngan
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 269 (11) : 9471 - 9507
[3] Budhiraja A., 2001, Probab. Math. Stat., V20
[4] Large deviations for infinite dimensional stochastic dynamical systems
Budhiraja, Amarjit
Dupuis, Paul
Maroulas, Vasileios
[J]. ANNALS OF PROBABILITY, 2008, 36 (04) : 1390 - 1420
[5] Large deviations for stochastic partial differential equations driven by a Poisson random measure
Budhiraja, Amarjit
Chen, Jiang
Dupuis, Paul
[J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2013, 123 (02) : 523 - 560
[6] Large deviations for the Boussinesq equations under random influences
Duan, Jinqiao
Millet, Annie
[J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2009, 119 (06) : 2052 - 2081
[7] Dupuis P., 1997, A Weak Convergence Approach to the Theory of Large Deviations, DOI [10.1002/9781118165904, DOI 10.1002/9781118165904]
[8] Impact of noise on pattern formation in a predator-prey model
Li, An-Wei
[J]. NONLINEAR DYNAMICS, 2011, 66 (04) : 689 - 694
[9] Large deviations for the stochastic shell model of turbulence
Manna, U.
Sritharan, S. S.
Sundar, P.
[J]. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2009, 16 (04): : 493 - 521
[10] Mohan M., 2013, Commun. Stoch. Anal, V7, P39

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