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Journal of Applied Mathematics and Computing

Erschienen in:

11.08.2017 | Original Research

Permanence and extinction of stochastic competitive Lotka–Volterra system with Lévy noise

verfasst von: Tengda Wei, Sheng Wang, Linshan Wang

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2018

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Abstract

This paper derives sufficient conditions for stochastic permanence and extinction of a stochastic non-autonomous competitive Lotka–Volterra system with Lévy noise. For the autonomous case, the results show that stochastic permanence and extinction are characterized by two parameters \(\mathcal {B}_{1}\) and \(\mathcal {B}_{2}\): if \(\mathcal {B}_{1}\mathcal {B}_{2} \ne 0\), then the system is either stochastically permanent or extinctive. That is, it is extinctive if and only if \(\mathcal {B}_{1}<0\) and \(\mathcal {B}_{2}<0\); otherwise, it is stochastically permanent. Some existing results are included as special cases. An example and its simulations are given to support our theoretical results.

Vorheriger Artikel Efficiency conditions in vector control problems governed by multiple integrals

Nächster Artikel An infeasible interior point method for the monotone SDLCP based on a transformation of the central path

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Titel: Permanence and extinction of stochastic competitive Lotka–Volterra system with Lévy noise
verfasst von: Tengda Wei
Sheng Wang
Linshan Wang
Publikationsdatum: 11.08.2017
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1-2/2018
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-017-1127-y

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