Stochastic nonautonomous Gompertz model with Lévy jumps

Advances in Difference Equations

Junping Li¹  Min Zhu²  Xiaoxia Yang² 

[1] College of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou, China;School of Mathematics and Statistics, Central South University, Changsha, China

关键词: Gompertz model;    Lévy jumps;    persistence;    extinction;   

DOI  :  10.1186/s13662-016-0940-1

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper deals with stochastic nonautonomous Gompertz model with Lévy jumps. To begin with, the existence of a global positive solution and an explicit solution have been derived. In addition, asymptotic moment properties are discussed. Besides, sufficient conditions for extinction, persistence in mean, and weak persistence are obtained. It is proved that the variability of Lévy jumps can affect the asymptotic property of the system.

【 授权许可】

CC BY