Asymptotic behavior of a food-limited Lotka–Volterra mutualism model with Markovian switching and Lévy jumps

Qun Liu; Daqing Jiang; Tasawar Hayat; Ahmed Alsaedi

doi:10.1016/j.physa.2018.03.070

Asymptotic behavior of a food-limited Lotka–Volterra mutualism model with Markovian switching and Lévy jumps

Qun Liu
, Daqing Jiang
, Tasawar Hayat
, Ahmed Alsaedi

Northeast Normal University
Yulin Normal University
King Abdulaziz University
China University of Petroleum (East China)
Quaid-I-Azam University

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

In this paper, we investigate a food-limited Lotka–Volterra mutualism model with Markovian switching and Lévy jumps. We present the analysis and the criteria of the asymptotic behavior for this perturbed model via Lyapunov functions. Our results show that both colored noise and Lévy noise have important effects on the survival and extinction of the species.

Original language	English
Pages (from-to)	94-104
Number of pages	11
Journal	Physica A: Statistical Mechanics and its Applications
Volume	505
DOIs	https://doi.org/10.1016/j.physa.2018.03.070
State	Published - 1 Sep 2018
Externally published	Yes

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 15 Life on Land

Keywords

Asymptotic stability
Food-limited Lotka–Volterra mutualism model
Lévy jumps
Markovian switching

Access to Document

10.1016/j.physa.2018.03.070

Cite this

@article{72592522aa234b2da5b4139ed9592428,

title = "Asymptotic behavior of a food-limited Lotka–Volterra mutualism model with Markovian switching and L{\'e}vy jumps",

abstract = "In this paper, we investigate a food-limited Lotka–Volterra mutualism model with Markovian switching and L{\'e}vy jumps. We present the analysis and the criteria of the asymptotic behavior for this perturbed model via Lyapunov functions. Our results show that both colored noise and L{\'e}vy noise have important effects on the survival and extinction of the species.",

keywords = "Asymptotic stability, Food-limited Lotka–Volterra mutualism model, L{\'e}vy jumps, Markovian switching",

author = "Qun Liu and Daqing Jiang and Tasawar Hayat and Ahmed Alsaedi",

note = "Publisher Copyright: {\textcopyright} 2018",

year = "2018",

month = sep,

day = "1",

doi = "10.1016/j.physa.2018.03.070",

language = "English",

volume = "505",

pages = "94--104",

journal = "Physica A: Statistical Mechanics and its Applications",

issn = "0378-4371",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - Asymptotic behavior of a food-limited Lotka–Volterra mutualism model with Markovian switching and Lévy jumps

AU - Liu, Qun

AU - Jiang, Daqing

AU - Hayat, Tasawar

AU - Alsaedi, Ahmed

PY - 2018/9/1

Y1 - 2018/9/1

N2 - In this paper, we investigate a food-limited Lotka–Volterra mutualism model with Markovian switching and Lévy jumps. We present the analysis and the criteria of the asymptotic behavior for this perturbed model via Lyapunov functions. Our results show that both colored noise and Lévy noise have important effects on the survival and extinction of the species.

AB - In this paper, we investigate a food-limited Lotka–Volterra mutualism model with Markovian switching and Lévy jumps. We present the analysis and the criteria of the asymptotic behavior for this perturbed model via Lyapunov functions. Our results show that both colored noise and Lévy noise have important effects on the survival and extinction of the species.

KW - Asymptotic stability

KW - Food-limited Lotka–Volterra mutualism model

KW - Lévy jumps

KW - Markovian switching

UR - https://www.scopus.com/pages/publications/85044744889

U2 - 10.1016/j.physa.2018.03.070

DO - 10.1016/j.physa.2018.03.070

M3 - Article

AN - SCOPUS:85044744889

SN - 0378-4371

VL - 505

SP - 94

EP - 104

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

ER -

Asymptotic behavior of a food-limited Lotka–Volterra mutualism model with Markovian switching and Lévy jumps

Abstract

UN SDGs

Keywords

Access to Document

Other files and links

Fingerprint

Cite this