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A note on asymptotic behaviors of stochastic population model with Allee effect. (English) Zbl 1225.34058
Summary: This paper analyzes the asymptotic behaviors of the stochastic population model with the Allee effect. We apply the Feller’s test to obtain the criteria of the asymptotic behaviors for this model and compare our results with those obtained by Lyapunov functions. At last, the numerical simulations conform our results.
MSC:
34D05Asymptotic stability of ODE
92D25Population dynamics (general)
34F05ODE with randomness
60H30Applications of stochastic analysis
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