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Permanence and Extinction of Stochastic Logistic System with Feedback Control under Regime Switching

Hongxiao Hu and Ling Zhu

Discrete Dynamics in Nature and Society, 2015, vol. 2015, 1-6

Abstract:

We study a stochastic logistic system with feedback control under regime switching. Sufficient conditions for extinction, non-persistence in the mean, weak persistence, and persistence in the mean are established. A very important fact is found in our results; that is, the feedback control is harmless to the permanence of species even under the regime switching and stochastic perturbation environments. Finally, some examples are introduced to illustrate the main results.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:862507

DOI: 10.1155/2015/862507

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