Dynamic analysis of a hybrid bioeconomic plankton system with double time delays and stochastic fluctuations

作者：

Highlights：

• A hybrid stochastic bioeconomic system with double time delays is proposed.

• Existence and properties of singularity induced bifurcation are investigated.

• Existence and uniqueness of the global positive solution are studied.

• Existence of stochastic Hopf bifurcation and stochastic stability are discussed.

• Dynamic analysis of solutions of the hybrid stochastic system are investigated.

摘要

•A hybrid stochastic bioeconomic system with double time delays is proposed.•Existence and properties of singularity induced bifurcation are investigated.•Existence and uniqueness of the global positive solution are studied.•Existence of stochastic Hopf bifurcation and stochastic stability are discussed.•Dynamic analysis of solutions of the hybrid stochastic system are investigated.

论文关键词：Bioeconomic plankton system,Singularity induced bifurcation,Stochastic stability,Stochastic Hopf bifurcation

论文评审过程：Received 2 January 2017, Revised 25 April 2017, Accepted 14 August 2017, Available online 21 September 2017, Version of Record 21 September 2017.

论文官网地址：https://doi.org/10.1016/j.amc.2017.08.019