Asymptotic behavior of a stochastic population model with Allee effect by Lévy jumps

Qiumei Zhang; Daqing Jiang; Yanan Zhao; Donal O'Regan

doi:10.1016/j.nahs.2016.10.005

Asymptotic behavior of a stochastic population model with Allee effect by Lévy jumps

Qiumei Zhang
, Daqing Jiang
, Yanan Zhao
, Donal O'Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

21 Citations (Scopus)

Abstract

This paper presents the analysis of asymptotic behavior of a stochastic population model with Allee effect by Lévy jumps. The criteria of the asymptotic behavior for this perturbed model is given via using Lyapunov analysis methods. Numerical simulations for a set of parameter values are presented to illustrate the analytical findings.

Original language	English
Pages (from-to)	1-12
Number of pages	12
Journal	Nonlinear Analysis: Hybrid Systems
Volume	24
DOIs	https://doi.org/10.1016/j.nahs.2016.10.005
Publication status	Published - 1 May 2017

Keywords

Allee effect
Asymptotic stability
Lévy noise

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10.1016/j.nahs.2016.10.005

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title = "Asymptotic behavior of a stochastic population model with Allee effect by L{\'e}vy jumps",

abstract = "This paper presents the analysis of asymptotic behavior of a stochastic population model with Allee effect by L{\'e}vy jumps. The criteria of the asymptotic behavior for this perturbed model is given via using Lyapunov analysis methods. Numerical simulations for a set of parameter values are presented to illustrate the analytical findings.",

keywords = "Allee effect, Asymptotic stability, L{\'e}vy noise",

author = "Qiumei Zhang and Daqing Jiang and Yanan Zhao and Donal O'Regan",

note = "Publisher Copyright: {\textcopyright} 2016",

year = "2017",

month = may,

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doi = "10.1016/j.nahs.2016.10.005",

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AU - Zhang, Qiumei

AU - Jiang, Daqing

AU - Zhao, Yanan

AU - O'Regan, Donal

PY - 2017/5/1

Y1 - 2017/5/1

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AB - This paper presents the analysis of asymptotic behavior of a stochastic population model with Allee effect by Lévy jumps. The criteria of the asymptotic behavior for this perturbed model is given via using Lyapunov analysis methods. Numerical simulations for a set of parameter values are presented to illustrate the analytical findings.

KW - Allee effect

KW - Asymptotic stability

KW - Lévy noise

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DO - 10.1016/j.nahs.2016.10.005

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JO - Nonlinear Analysis: Hybrid Systems

JF - Nonlinear Analysis: Hybrid Systems

ER -

Asymptotic behavior of a stochastic population model with Allee effect by Lévy jumps

Abstract

Keywords

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