Stability of stochastic Gilpin-Ayala model driven by α-stable process under regime switching

被引：0

作者：

Zhang, Xuekang ^{[1
,2
]}

Shu, Huisheng ^{[3
]}

Liu, Dajun ^{[1
,2
]}

机构：

[1] Anhui Polytech Univ, Sch Math Phys & Finance, Wuhu, Peoples R China

[2] Anhui Polytech Univ, Energy Internet Engn Res Ctr, Anhui Prov Dept Educ, Wuhu, Peoples R China

[3] Donghua Univ, Coll Sci, Shanghai, Peoples R China

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2024年 / 53卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Stochastic Gilpin-Ayala model; alpha-stable process; regime switching; almost sure exponential stability; pth moment exponential stability; NONAUTONOMOUS LOGISTIC EQUATION; ASYMPTOTIC PROPERTIES; POPULATION-DYNAMICS; BEHAVIOR;

D O I：

10.1080/03610926.2022.2154611

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this paper, stochastic Gilpin-Ayala model driven by alpha-stable process under regime switching is presented. Firstly, we prove the existence and uniqueness of the solution for the stochastic model. Then, under certain conditions, the almost sure exponential stability and pth moment exponential stability of the trivial solution are obtained. The results indicated that the alpha-stable noises can make the trivial solution stable under some conditions. Computer simulations are presented to illustrate our theory.

引用

页码：3459 / 3471

页数：13

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