Dynamics of a stochastic delay competition model with imprecise parameters
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Authors
Xin He
- School of Mathematical Science, Huaiyin Normal University, Huaian 223300, P. R. China.
Meng Liu
- School of Mathematical Science, Huaiyin Normal University, Huaian 223300, P. R. China.
- School of Mathematics and Statistics, Northeast Normal University, Jilin 130024, P. R. China.
Abstract
This paper is concerned with a two-species delay stochastic competition model with imprecise parameters. We first obtain the thresholds between persistence and extinction for each species. Then we establish sharp sufficient criteria for the existence of a unique ergodic stationary distribution of the model. The effects of imprecise parameters on the persistence, extinction and existence of the stationary distribution are revealed. Finally, we work out some numerical simulations to illustrate the theoretical results.
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ISRP Style
Xin He, Meng Liu, Dynamics of a stochastic delay competition model with imprecise parameters, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 9, 4776--4788
AMA Style
He Xin, Liu Meng, Dynamics of a stochastic delay competition model with imprecise parameters. J. Nonlinear Sci. Appl. (2017); 10(9):4776--4788
Chicago/Turabian Style
He, Xin, Liu, Meng. "Dynamics of a stochastic delay competition model with imprecise parameters." Journal of Nonlinear Sciences and Applications, 10, no. 9 (2017): 4776--4788
Keywords
- Competition system
- stochastic perturbations
- imprecise parameters
- time delay.
MSC
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