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A Note on Asymptotic Behaviors of Stochastic Population Model with the Allee Effect

Author: BiYuZuo
Tutor: JiangDaQing
School: Northeast Normal University
Course: Applied Mathematics
Keywords: Allee effect Asymptotic stability Feller’s test It(?)’s formula
CLC: O242.1
Type: Master's thesis
Year: 2011
Downloads: 6
Quote: 0
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Abstract


This paper analyzes the asymptotic behaviors of the stochastic population model with the Allee effect.Given the equationdN_t/dt =γN_t(1-N_t/K)(N_t/T-1),we study the existence,uniqueness,globally positive and other properties of the solution under two differentstochastical perturbations.

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CLC: > Mathematical sciences and chemical > Mathematics > Computational Mathematics > Mathematical modeling, approximate calculation > Mathematical modeling
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