Taking white noise into account, a stochastic nonautonomous logistic model is proposed and investigated. Sufficient conditions for extinction, nonpersistence in the mean, weak persistence, stochastic permanence, and global asymptotic stability are established. Moreover, the threshold between weak persistence and extinction is obtained. Finally, we introduce some numerical simulink graphics to illustrate our main results.
Chun Lu. Xiaohua Ding. "Survival Analysis of a Nonautonomous Logistic Model with Stochastic Perturbation." J. Appl. Math. 2012 1 - 21, 2012. https://doi.org/10.1155/2012/692742