Periodic solution for stochastic non-autonomous multispecies Lotka–Volterra mutualism type ecosystem

作者：

Highlights：

• We give sufficient conditions for the existence of positive periodic solution.

• We give sufficient conditions for the global attractiveness of the periodic solution.

• We prove that all species will be extinct if the intensity of noise is large enough.

• The results are illustrated by computer simulations.

摘要

•We give sufficient conditions for the existence of positive periodic solution.•We give sufficient conditions for the global attractiveness of the periodic solution.•We prove that all species will be extinct if the intensity of noise is large enough.•The results are illustrated by computer simulations.

论文关键词：Stochastic mutualism model,Periodic solution,Globally attractive,Extinction

论文评审过程：Received 14 September 2014, Revised 26 January 2015, Accepted 11 April 2015, Available online 14 May 2015, Version of Record 14 May 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.04.042