Rao, Feng Dynamical analysis of a stochastic predator-prey model with an Allee effect. (English) Zbl 1288.92029 Abstr. Appl. Anal. 2013, Article ID 340980, 10 p. (2013). Summary: We present and analyze a modified Holling type-II predator-prey model that includes some important factors such as Allee effects, density-dependence, and environmental noise. By constructing suitable Lyapunov functions and applying the Itô formula, some qualitative properties are given, such as the existence of global positive solutions, stochastic boundedness, and the global asymptotic stability. A series of numerical simulations to illustrate these mathematical findings are presented. Cited in 11 Documents MSC: 92D40 Ecology 60H10 Stochastic ordinary differential equations (aspects of stochastic analysis) × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Murray, J. D., Mathematical Biology. II. Spatial Models and Biomedical Applications. Mathematical Biology. II. 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