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• W2119789890 abstract "In this paper, an analytical study of a toxin-producing phytoplankton-zooplankton model with stochastic perturbation is performed. By constructing suitable Lyapunov functions, we investigate the global stability of a positive equilibrium and give the condition of the existence of Hopf bifurcation for the deterministic plankton model. Under the perturbation of environmental noise, there is a globally positive solution to the stochastic model and it is stochastically ultimately bounded. In addition, the stochastic model is stochastically permanent under some conditions. A series of numerical simulations to illustrate these mathematical findings are presented." @default.
• W2119789890 created "2016-06-24" @default.
• W2119789890 creator A5053674153 @default.
• W2119789890 date "2014-01-16" @default.
• W2119789890 modified "2023-09-25" @default.
• W2119789890 title "The complex dynamics of a stochastic toxic-phytoplankton-zooplankton model" @default.
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• W2119789890 doi "https://doi.org/10.1186/1687-1847-2014-22" @default.
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