Dynamics of stochastic single-species models

Yan Zhang; Jingliang Lv; Xiaoling Zou

doi:10.1002/mma.6540

Dynamics of stochastic single-species models

Yan Zhang
, Jingliang Lv^*
, Xiaoling Zou

^*Corresponding author for this work

Harbin Institute of Technology Weihai

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

2 Scopus citations

Abstract

A type of stochastic single-species model is proposed and studied. The sufficient conditions of the existence of a unique solution, the existence of its stationary distribution, and stochastic permanence are obtained. Besides, the threshold conditions for its strong stochastic persistence and extinction are found. Finally, some examples and numerical simulations are introduced to support our main results.

Original language	English
Pages (from-to)	8728-8735
Number of pages	8
Journal	Mathematical Methods in the Applied Sciences
Volume	43
Issue number	15
DOIs	https://doi.org/10.1002/mma.6540
State	Published - 1 Oct 2020
Externally published	Yes

Keywords

extinction
stationary distribution
stochastic permanence
strong stochastic persistence

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10.1002/mma.6540

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title = "Dynamics of stochastic single-species models",

abstract = "A type of stochastic single-species model is proposed and studied. The sufficient conditions of the existence of a unique solution, the existence of its stationary distribution, and stochastic permanence are obtained. Besides, the threshold conditions for its strong stochastic persistence and extinction are found. Finally, some examples and numerical simulations are introduced to support our main results.",

keywords = "extinction, stationary distribution, stochastic permanence, strong stochastic persistence",

author = "Yan Zhang and Jingliang Lv and Xiaoling Zou",

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year = "2020",

month = oct,

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doi = "10.1002/mma.6540",

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T1 - Dynamics of stochastic single-species models

AU - Zhang, Yan

AU - Lv, Jingliang

AU - Zou, Xiaoling

PY - 2020/10/1

Y1 - 2020/10/1

N2 - A type of stochastic single-species model is proposed and studied. The sufficient conditions of the existence of a unique solution, the existence of its stationary distribution, and stochastic permanence are obtained. Besides, the threshold conditions for its strong stochastic persistence and extinction are found. Finally, some examples and numerical simulations are introduced to support our main results.

AB - A type of stochastic single-species model is proposed and studied. The sufficient conditions of the existence of a unique solution, the existence of its stationary distribution, and stochastic permanence are obtained. Besides, the threshold conditions for its strong stochastic persistence and extinction are found. Finally, some examples and numerical simulations are introduced to support our main results.

KW - extinction

KW - stationary distribution

KW - stochastic permanence

KW - strong stochastic persistence

UR - https://www.scopus.com/pages/publications/85084966978

U2 - 10.1002/mma.6540

DO - 10.1002/mma.6540

M3 - 文章

AN - SCOPUS:85084966978

SN - 0170-4214

VL - 43

SP - 8728

EP - 8735

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 15

ER -

Dynamics of stochastic single-species models

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Keywords

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