Asymptotic Behavior Analysis for a Three-Species Food Chain Stochastic Model with Regime Switching

Joint Authors

Ma, Yonggang
Liu, Junmei

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

Civil Engineering

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