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Research Article Open access CC BY 4.0

Analysis of Hybrid Stochastic Gompertz Model with Time Delay

Guixin Hu, Bingqing Li

Asian Research Journal of Mathematics · pp. 120–127 · Published 28 Dec 2022

10.9734/arjom/2022/v18i12631

Abstract

This study explores a hybrid stochastic delay Gompertz model under regime switching. It is proved that the model has a unique global positive solution. Suficient conditions for persistence in mean and extinction are obtained. The results show that the random perturbations and time delays could effect the persistence and extinction of the model.

Gompertz equation random perturbations persistence in mean extinction Markov chains

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