University of Guilan Journal of Mathematical Modeling 2345-394X 11 3 2023 10 01 Persistence in mean and extinction of a hybrid stochastic delay Gompertz model with Levy jumps 451 461 6628 10.22124/jmm.2023.24164.2156 EN Guixin Hu School of Mathematics and Information Science, Henan Polytechnic University (HPU), Jiaozuo 454000, P. R. China Bingqing Li School of Mathematics and Information Science, Henan Polytechnic University (HPU), Jiaozuo 454000, P. R. China Zhihao Geng School of Mathematics and Information Science, Henan Polytechnic University (HPU), Jiaozuo 454000, P. R. China Journal Article 2023 03 22 This paper deals with a stochastic delay Gompertz model under regime switching with Levy jumps. Firstly, the existence of a unique global positive solution has been derived. Secondly, sufficient conditions for extinction and persistence in mean are obtained. Finally, an example is given to illustrate our main results.The results in this paper indicate that Levy jumps noise, the white noise and switching noise have certain effects on the properties of the model. Gompertz model persistence in mean extinction Levy jumps noise Markov chains https://jmm.guilan.ac.ir/article_6628_9585e5e3fc0750785463a28ba4025720.pdf