Analysis of Hybrid Stochastic Gompertz Model with Time Delay
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.
*Author to whom correspondence should be addressed.
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.
Keywords: Gompertz equation, random perturbations, persistence in mean, extinction, Markov chains