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

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  • Zhao, Dianli

Abstract

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.

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  • Zhao, Dianli, 2015. "A remark on one non-autonomous stochastic Gompertz model with delay," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 369-373.
    • Handle: RePEc:eee:apmaco:v:266:y:2015:i:c:p:369-373
    DOI: 10.1016/j.amc.2015.05.051
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    References listed on IDEAS

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    1. Peng, Shige & Zhu, Xuehong, 2006. "Necessary and sufficient condition for comparison theorem of 1-dimensional stochastic differential equations," Stochastic Processes and their Applications, Elsevier, vol. 116(3), pages 370-380, March.
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