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Stability of stochastic Gilpin-Ayala model driven by α-stable process under regime switching.
- Source :
-
Communications in Statistics: Theory & Methods . 2024, Vol. 53 Issue 10, p3459-3471. 13p. - Publication Year :
- 2024
-
Abstract
- In this paper, stochastic Gilpin-Ayala model driven by α-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 α-stable noises can make the trivial solution stable under some conditions. Computer simulations are presented to illustrate our theory. [ABSTRACT FROM AUTHOR]
- Subjects :
- *STOCHASTIC models
*EXPONENTIAL stability
*COMPUTER simulation
Subjects
Details
- Language :
- English
- ISSN :
- 03610926
- Volume :
- 53
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Communications in Statistics: Theory & Methods
- Publication Type :
- Academic Journal
- Accession number :
- 176477114
- Full Text :
- https://doi.org/10.1080/03610926.2022.2154611