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Journal of Applied Mathematics and Computing

Erschienen in:

20.05.2020 | Original Research

Long time behavior of stochastic Lotka–Volterra competitive system with general Lévy jumps

verfasst von: Wenchao Yang, Chun Lu

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2020

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Abstract

Taking general Lévy jumps into account, a traditional competition system with stochastic perturbation is proposed and investigated. Sufficient conditions for extinction are discussed as well as weak persistence, nonpersistence in the mean and stochastic permanence. In addition, the critical number between weak persistence in the mean and extinction is obtained. Our results demonstrate that, firstly, white noises has no effect on the persistence and extinction; secondly, the general Lévy jumps could make permanence vanish as well as happen.

Vorheriger Artikel Comparative study of distance-based graph invariants

Nächster Artikel Positive solutions of nonlocal fractional boundary value problem involving Riemann–Stieltjes integral condition

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Titel: Long time behavior of stochastic Lotka–Volterra competitive system with general Lévy jumps
verfasst von: Wenchao Yang
Chun Lu
Publikationsdatum: 20.05.2020
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1-2/2020
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-020-01364-1

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