Dynamics Analysis of a Stochastic Delay Gilpin-Ayala Model with Markovian Switching
Joint Authors
Gao, Qiaoqin
Luo, Zhijiang
Liu, Guirong
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-06-04
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Gao, Qiaoqin& Luo, Zhijiang& Liu, Guirong. 2019. Dynamics Analysis of a Stochastic Delay Gilpin-Ayala Model with Markovian Switching. Discrete Dynamics in Nature and Society،Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1146206
Modern Language Association (MLA)
Gao, Qiaoqin…[et al.]. Dynamics Analysis of a Stochastic Delay Gilpin-Ayala Model with Markovian Switching. Discrete Dynamics in Nature and Society No. 2019 (2019), pp.1-15.
https://search.emarefa.net/detail/BIM-1146206
American Medical Association (AMA)
Gao, Qiaoqin& Luo, Zhijiang& Liu, Guirong. Dynamics Analysis of a Stochastic Delay Gilpin-Ayala Model with Markovian Switching. Discrete Dynamics in Nature and Society. 2019. Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1146206
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1146206
