Asymptotic properties and simulations of a stochastic logistic model under regime switching

Meng Liu,Ke Wang

doi:10.1016/j.mcm.2011.05.023

Asymptotic properties and simulations of a stochastic logistic model under regime switching

Meng Liu, Ke Wang

Open Access

https://doi.org/10.1016/j.mcm.2011.05.023

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Journal: Mathematical Modelling	Publication Date: May 18, 2011
Citations: 42	License type: publisher-specific-oa

Affiliation: Harbin Institute of Technology, Northeast Normal University

#Weak Persistence #Regime Switching + Show 8 more

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Abstract

Taking both white noise and colored environmental noise into account, a general stochastic logistic model under regime switching is proposed and studied. Sufficient conditions for extinction, nonpersistence in the mean, weak persistence, stochastic permanence and global attractivity are established. The critical number between weak persistence and extinction is obtained. Moreover, some simulation figures are introduced to illustrate the main results.

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