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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 
[1] 
Defei Zhang, Ping He. Functional solution about stochastic differential equation driven by $G$Brownian motion. Discrete & Continuous Dynamical Systems  B, 2015, 20 (1) : 281293. doi: 10.3934/dcdsb.2015.20.281 
[2] 
Litan Yan, Xiuwei Yin. Optimal error estimates for fractional stochastic partial differential equation with fractional Brownian motion. Discrete & Continuous Dynamical Systems  B, 2019, 24 (2) : 615635. doi: 10.3934/dcdsb.2018199 
[3] 
Guolian Wang, Boling Guo. Stochastic Kortewegde Vries equation driven by fractional Brownian motion. Discrete & Continuous Dynamical Systems  A, 2015, 35 (11) : 52555272. doi: 10.3934/dcds.2015.35.5255 
[4] 
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 
[5] 
María J. Garrido–Atienza, Kening Lu, Björn Schmalfuss. Random dynamical systems for stochastic partial differential equations driven by a fractional Brownian motion. Discrete & Continuous Dynamical Systems  B, 2010, 14 (2) : 473493. doi: 10.3934/dcdsb.2010.14.473 
[6] 
Yong Ren, Xuejuan Jia, Lanying Hu. Exponential stability of solutions to impulsive stochastic differential equations driven by $G$Brownian motion. Discrete & Continuous Dynamical Systems  B, 2015, 20 (7) : 21572169. doi: 10.3934/dcdsb.2015.20.2157 
[7] 
Shaokuan Chen, Shanjian Tang. Semilinear backward stochastic integral partial differential equations driven by a Brownian motion and a Poisson point process. Mathematical Control & Related Fields, 2015, 5 (3) : 401434. doi: 10.3934/mcrf.2015.5.401 
[8] 
Ahmed Boudaoui, Tomás Caraballo, Abdelghani Ouahab. Stochastic differential equations with noninstantaneous impulses driven by a fractional Brownian motion. Discrete & Continuous Dynamical Systems  B, 2017, 22 (7) : 25212541. doi: 10.3934/dcdsb.2017084 
[9] 
Yong Xu, Rong Guo, Di Liu, Huiqing Zhang, Jinqiao Duan. Stochastic averaging principle for dynamical systems with fractional Brownian motion. Discrete & Continuous Dynamical Systems  B, 2014, 19 (4) : 11971212. doi: 10.3934/dcdsb.2014.19.1197 
[10] 
Yong Xu, Bin Pei, Rong Guo. Stochastic averaging for slowfast dynamical systems with fractional Brownian motion. Discrete & Continuous Dynamical Systems  B, 2015, 20 (7) : 22572267. doi: 10.3934/dcdsb.2015.20.2257 
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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 & Continuous Dynamical Systems  B, 2018, 23 (4) : 14591502. doi: 10.3934/dcdsb.2018159 
[12] 
Jin Li, Jianhua Huang. Dynamics of a 2D Stochastic nonNewtonian fluid driven by fractional Brownian motion. Discrete & Continuous Dynamical Systems  B, 2012, 17 (7) : 24832508. doi: 10.3934/dcdsb.2012.17.2483 
[13] 
Yong Ren, Huijin Yang, Wensheng Yin. Weighted exponential stability of stochastic coupled systems on networks with delay driven by $ G $Brownian motion. Discrete & Continuous Dynamical Systems  B, 2019, 24 (7) : 33793393. doi: 10.3934/dcdsb.2018325 
[14] 
Tyrone E. Duncan. Some linearquadratic stochastic differential games for equations in Hilbert spaces with fractional Brownian motions. Discrete & Continuous Dynamical Systems  A, 2015, 35 (11) : 54355445. doi: 10.3934/dcds.2015.35.5435 
[15] 
Hongfu Yang, Xiaoyue Li, George Yin. Permanence and ergodicity of stochastic GilpinAyala population model with regime switching. Discrete & Continuous Dynamical Systems  B, 2016, 21 (10) : 37433766. doi: 10.3934/dcdsb.2016119 
[16] 
Yong Chen, Hongjun Gao. Global existence for the stochastic DegasperisProcesi equation. Discrete & Continuous Dynamical Systems  A, 2015, 35 (11) : 51715184. doi: 10.3934/dcds.2015.35.5171 
[17] 
Henri Schurz. Moment attractivity, stability and contractivity exponents of stochastic dynamical systems. Discrete & Continuous Dynamical Systems  A, 2001, 7 (3) : 487515. doi: 10.3934/dcds.2001.7.487 
[18] 
Brenton LeMesurier. Modeling thermal effects on nonlinear wave motion in biopolymers by a stochastic discrete nonlinear Schrödinger equation with phase damping. Discrete & Continuous Dynamical Systems  S, 2008, 1 (2) : 317327. doi: 10.3934/dcdss.2008.1.317 
[19] 
Mariusz Michta. On solutions to stochastic differential inclusions. Conference Publications, 2003, 2003 (Special) : 618622. doi: 10.3934/proc.2003.2003.618 
[20] 
Giuseppe Da Prato. An integral inequality for the invariant measure of some finite dimensional stochastic differential equation. Discrete & Continuous Dynamical Systems  B, 2016, 21 (9) : 30153027. doi: 10.3934/dcdsb.2016085 
2017 Impact Factor: 1.179
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