A remark on one non-autonomous stochastic Gompertz model with delay

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摘要

In this paper, we will point out the errors existing in the proof in [1] given by Jovanovic and Krstic (2014) on applications of the comparison theorem which are key steps to the proof of the main result. Then we give the sufficient conditions for persistence in mean and extinction of the considered model with completely new proofs, where we do not ask for the application of the comparison theorem.

论文关键词:Stochastic Gompertz model with delay,Comparison theorem,Persistence and extinction

论文评审过程:Received 24 August 2014, Revised 12 May 2015, Accepted 13 May 2015, Available online 9 June 2015, Version of Record 9 June 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.05.051