A note on asymptotic behaviors of stochastic population model with Allee effect

doi:10.1016/j.apm.2011.03.034

Applied Mathematical Modelling

Volume 35, Issue 9, September 2011, Pages 4611-4619

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Abstract

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.

Keywords

Allee effect

Asymptotic stability

Feller’s test

Itô’s formula