Permanence and extinction in non-autonomous logistic system with random perturbation and feedback control

Advances in Difference Equations

Hongxiao Hu¹  Ling Zhu² 

[1] College of Science, University of Shanghai for Science and Technology, Shanghai, P.R. China;School of Science, Anhui Agriculture University, Hefei, P.R. China

关键词: non-autonomous logistic model;    feedback control;    stochastic asymptotically bounded;    persistence;    extinction;   

DOI  :  10.1186/s13662-016-0904-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study a stochastic non-autonomous logistic system with feedback control. Sufficient conditions for stochastic asymptotically bounded, extinction, non-persistence in the mean, weak persistence, and persistence in the mean are established. The critical number between weak persistence and extinction is obtained. A very important fact is found in our results, that is, the feedback control is harmless to the permanence of species under the randomized environment.

【 授权许可】

CC BY