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• W3083150403 abstract "In this paper, we study the dynamical behavior of a stochastic food chain chemostat model, in which the white noise is proportional to the variables. Firstly, we prove the existence and uniqueness of the global positive solution. Then by constructing suitable Lyapunov functions, we show the system has a unique ergodic stationary distribution. Furthermore, the extinction of microorganisms is discussed in two cases. In one case, both the prey and the predator species are extinct, and in the other case, the prey species is surviving and the predator species is extinct. Finally, numerical experiments are performed for supporting the theoretical results." @default.
• W3083150403 created "2020-09-11" @default.
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• W3083150403 date "2020-09-03" @default.
• W3083150403 modified "2023-09-27" @default.
• W3083150403 title "Stationary distribution and extinction for a food chain chemostat model with random perturbation" @default.
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• W3083150403 doi "https://doi.org/10.1002/mma.6809" @default.
• W3083150403 hasPublicationYear "2020" @default.
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