Asymptotic Behavior Analysis for a Three-Species Food Chain Stochastic Model with Regime Switching
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-31
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
This paper discusses the asymptotic behavior of a class of three-species stochastic model with regime switching.
Using the Lyapunov function, we first obtain sufficient conditions for extinction and average time persistence.
Then, we prove sufficient conditions for the existence of stationary distributions of populations, and they are ergodic.
Numerical simulations are carried out to support our theoretical results.
American Psychological Association (APA)
Liu, Junmei& Ma, Yonggang. 2020. Asymptotic Behavior Analysis for a Three-Species Food Chain Stochastic Model with Regime Switching. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1193396
Modern Language Association (MLA)
Liu, Junmei& Ma, Yonggang. Asymptotic Behavior Analysis for a Three-Species Food Chain Stochastic Model with Regime Switching. Mathematical Problems in Engineering No. 2020 (2020), pp.1-17.
https://search.emarefa.net/detail/BIM-1193396
American Medical Association (AMA)
Liu, Junmei& Ma, Yonggang. Asymptotic Behavior Analysis for a Three-Species Food Chain Stochastic Model with Regime Switching. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1193396
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1193396