Analysis of a stochastic hybrid Gompertz tumor growth model driven by Lévy noise

This article investigates a stochastic hybrid Gompertz tumor growth model driven by Lévy noise. The global existence of a unique positive solution, extinction, non-persistence in mean, and persistence in mean are well explored. Then, stochastic permanence is obtained by using stochastically ultimately upper bounded and lower bounded. An interesting fact is that the white noise, Markovian noise and Lévy noise can all affect the persistence and extinction of the Gompertz tumor growth model.