Dynamical analysis and optimal control in a hybrid stochastic double delayed bioeconomic system with impulsive contaminants emission and Lévy jumps

作者：

Highlights：

• A hybrid stochastic double delayed system with impulse and Lévy jumps is proposed.

• Combined dynamic effects of impulse, time delays and Lévy jumps are investigated.

• Sufficient conditions for persistence in the mean and extinction are investigated.

• The asymptotical stability in distribution of the proposed hybrid system is studied.

• Optimal price control and maximum of expectation of sustainable yield are discussed.

摘要

•A hybrid stochastic double delayed system with impulse and Lévy jumps is proposed.•Combined dynamic effects of impulse, time delays and Lévy jumps are investigated.•Sufficient conditions for persistence in the mean and extinction are investigated.•The asymptotical stability in distribution of the proposed hybrid system is studied.•Optimal price control and maximum of expectation of sustainable yield are discussed.

论文关键词：Double time delays,Impulsive emission,Lévy jumps,Persistence in the mean,Optimal price control

论文评审过程：Available online 8 February 2019, Version of Record 8 February 2019.

论文官网地址：https://doi.org/10.1016/j.amc.2019.01.045