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Population dynamical behavior of nonautonomous LotkaVolterra competitive system with random perturbation
1.  School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, China 
2.  Department of Statistics and Modelling Science, University of Strathclyde, Glasgow, G1 1XH, Scotland 
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Litan Yan, Xiuwei Yin. Optimal error estimates for fractional stochastic partial differential equation with fractional Brownian motion. Discrete and Continuous Dynamical Systems  B, 2019, 24 (2) : 615635. doi: 10.3934/dcdsb.2018199 
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Guolian Wang, Boling Guo. Stochastic Kortewegde Vries equation driven by fractional Brownian motion. Discrete and Continuous Dynamical Systems, 2015, 35 (11) : 52555272. doi: 10.3934/dcds.2015.35.5255 
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Shangzhi Li, Shangjiang Guo. Permanence and extinction of a stochastic SIS epidemic model with three independent Brownian motions. Discrete and Continuous Dynamical Systems  B, 2021, 26 (5) : 26932719. doi: 10.3934/dcdsb.2020201 
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Henryk Leszczyński, Monika Wrzosek. Newton's method for nonlinear stochastic wave equations driven by onedimensional Brownian motion. Mathematical Biosciences & Engineering, 2017, 14 (1) : 237248. doi: 10.3934/mbe.2017015 
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María J. Garrido–Atienza, Kening Lu, Björn Schmalfuss. Random dynamical systems for stochastic partial differential equations driven by a fractional Brownian motion. Discrete and Continuous Dynamical Systems  B, 2010, 14 (2) : 473493. doi: 10.3934/dcdsb.2010.14.473 
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Bin Pei, Yong Xu, Yuzhen Bai. Convergence of pth mean in an averaging principle for stochastic partial differential equations driven by fractional Brownian motion. Discrete and Continuous Dynamical Systems  B, 2020, 25 (3) : 11411158. doi: 10.3934/dcdsb.2019213 
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Yong Ren, Xuejuan Jia, Lanying Hu. Exponential stability of solutions to impulsive stochastic differential equations driven by $G$Brownian motion. Discrete and Continuous Dynamical Systems  B, 2015, 20 (7) : 21572169. doi: 10.3934/dcdsb.2015.20.2157 
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Shaokuan Chen, Shanjian Tang. Semilinear backward stochastic integral partial differential equations driven by a Brownian motion and a Poisson point process. Mathematical Control and Related Fields, 2015, 5 (3) : 401434. doi: 10.3934/mcrf.2015.5.401 
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Yong Xu, Bin Pei, Rong Guo. Stochastic averaging for slowfast dynamical systems with fractional Brownian motion. Discrete and Continuous Dynamical Systems  B, 2015, 20 (7) : 22572267. doi: 10.3934/dcdsb.2015.20.2257 
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Brahim Boufoussi, Soufiane Mouchtabih. Controllability of neutral stochastic functional integrodifferential equations driven by fractional brownian motion with Hurst parameter lesser than $ 1/2 $. Evolution Equations and Control Theory, 2021, 10 (4) : 921935. doi: 10.3934/eect.2020096 
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Jin Li, Jianhua Huang. Dynamics of a 2D Stochastic nonNewtonian fluid driven by fractional Brownian motion. Discrete and Continuous Dynamical Systems  B, 2012, 17 (7) : 24832508. doi: 10.3934/dcdsb.2012.17.2483 
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Tadahisa Funaki, Yueyuan Gao, Danielle Hilhorst. Convergence of a finite volume scheme for a stochastic conservation law involving a $Q$brownian motion. Discrete and Continuous Dynamical Systems  B, 2018, 23 (4) : 14591502. doi: 10.3934/dcdsb.2018159 
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Yong Ren, Huijin Yang, Wensheng Yin. Weighted exponential stability of stochastic coupled systems on networks with delay driven by $ G $Brownian motion. Discrete and Continuous Dynamical Systems  B, 2019, 24 (7) : 33793393. doi: 10.3934/dcdsb.2018325 
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Xin Meng, Cunchen Gao, Baoping Jiang, Hamid Reza Karimi. Observerbased SMC for stochastic systems with disturbance driven by fractional Brownian motion. Discrete and Continuous Dynamical Systems  S, 2022 doi: 10.3934/dcdss.2022027 
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Tyrone E. Duncan. Some linearquadratic stochastic differential games for equations in Hilbert spaces with fractional Brownian motions. Discrete and Continuous Dynamical Systems, 2015, 35 (11) : 54355445. doi: 10.3934/dcds.2015.35.5435 
[19] 
Henri Schurz. Moment attractivity, stability and contractivity exponents of stochastic dynamical systems. Discrete and Continuous Dynamical Systems, 2001, 7 (3) : 487515. doi: 10.3934/dcds.2001.7.487 
[20] 
Hongfu Yang, Xiaoyue Li, George Yin. Permanence and ergodicity of stochastic GilpinAyala population model with regime switching. Discrete and Continuous Dynamical Systems  B, 2016, 21 (10) : 37433766. doi: 10.3934/dcdsb.2016119 
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