Persistence and extinction in general non-autonomous logistic model with delays and stochastic perturbation

摘要

This is a continuation of the paper Liu and Wang (2012) [14]. Firstly, we consider a general non-autonomous logistic model with delays and stochastic perturbation. Then sufficient conditions for extinction are established as well as nonpersistence in the mean, weak persistence and stochastic permanence. The threshold between weak persistence and extinction is obtained. Finally, numerical simulations are introduced to support the theoretical analysis results.