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Dynamics Analysis of a Stochastic Delay Gilpin-Ayala Model with Markovian Switching
- Source :
- Discrete Dynamics in Nature and Society, Vol 2019 (2019)
- Publication Year :
- 2019
- Publisher :
- Wiley, 2019.
-
Abstract
- This paper considers a stochastic delay Gilpin-Ayala model with Markovian switching. Using Lyapunov method, we show existence and uniqueness of global positive solution. Then, by using Chebyshev’s inequality, M-matrix method, and BDG’s inequality, stochastic permanence and asymptotic estimations of solutions are studied. Finally, numerical simulations illustrate the theoretical results. Our results generalize and improve the existing results.
- Subjects :
- Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 10260226 and 1607887X
- Volume :
- 2019
- Database :
- Directory of Open Access Journals
- Journal :
- Discrete Dynamics in Nature and Society
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.02adfc06628b4c0a9cc0b173762cf08d
- Document Type :
- article
- Full Text :
- https://doi.org/10.1155/2019/1302648