Analysis of a stochastic logistic model with diffusion

作者：

Highlights：

• Stochastic Logistic model with diffusion and Lévy jumps is proposed.

• Critical value between stability and extinction for species in each patch is obtained.

• Critical value has a close relationship with Lévy jumps.

• Numerical simulations are introduced to validate the results.

摘要

•Stochastic Logistic model with diffusion and Lévy jumps is proposed.•Critical value between stability and extinction for species in each patch is obtained.•Critical value has a close relationship with Lévy jumps.•Numerical simulations are introduced to validate the results.

论文关键词：Logistic equation,Random noises,Diffusion

论文评审过程：Received 25 February 2015, Revised 21 April 2015, Accepted 12 May 2015, Available online 2 June 2015, Version of Record 2 June 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.05.050