Dynamics of a stochastic one-prey two-predator model with Lévy jumps

作者:

Highlights:

• Lévy noise of one species increases extinction risk of this species and its predator.

• Lévy noise of one species has no impact on the extinction or not of its prey.

• In some cases, Lévy noises do not effect the stability in distribution of the model.

摘要

•Lévy noise of one species increases extinction risk of this species and its predator.•Lévy noise of one species has no impact on the extinction or not of its prey.•In some cases, Lévy noises do not effect the stability in distribution of the model.

论文关键词:White noises,Lévy jumps,Persistence,Extinction,Stability

论文评审过程:Received 21 June 2015, Revised 29 September 2015, Accepted 16 February 2016, Available online 5 April 2016, Version of Record 5 April 2016.

论文官网地址:https://doi.org/10.1016/j.amc.2016.02.033