Recurrence and strong stochastic persistence of a stochastic single-species model

Jingliang Lv; Yan Zhang; Xiaoling Zou

doi:10.1016/j.aml.2018.09.007

Recurrence and strong stochastic persistence of a stochastic single-species model

Jingliang Lv
, Yan Zhang
, Xiaoling Zou^*

^*Corresponding author for this work

Harbin Institute of Technology Weihai

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

7 Scopus citations

Abstract

A stochastic generalized logistic model is considered in this paper. The condition of the existence of its stationary distribution is generalized. Recurrence and strong stochastic persistence are obtained. Finally some numerical simulations are carried out to support our results.

Original language	English
Pages (from-to)	64-69
Number of pages	6
Journal	Applied Mathematics Letters
Volume	89
DOIs	https://doi.org/10.1016/j.aml.2018.09.007
State	Published - Mar 2019
Externally published	Yes

Keywords

Generalized logistic model
Recurrence
Stationary distribution
Strong stochastic persistence

Access to Document

10.1016/j.aml.2018.09.007

Cite this

@article{c578c0cbf37a4b4abf45c05f0184e74b,

title = "Recurrence and strong stochastic persistence of a stochastic single-species model",

abstract = "A stochastic generalized logistic model is considered in this paper. The condition of the existence of its stationary distribution is generalized. Recurrence and strong stochastic persistence are obtained. Finally some numerical simulations are carried out to support our results.",

keywords = "Generalized logistic model, Recurrence, Stationary distribution, Strong stochastic persistence",

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

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

year = "2019",

month = mar,

doi = "10.1016/j.aml.2018.09.007",

language = "英语",

volume = "89",

pages = "64--69",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

publisher = "Elsevier Ltd",

}

TY - JOUR

T1 - Recurrence and strong stochastic persistence of a stochastic single-species model

AU - Lv, Jingliang

AU - Zhang, Yan

AU - Zou, Xiaoling

PY - 2019/3

Y1 - 2019/3

N2 - A stochastic generalized logistic model is considered in this paper. The condition of the existence of its stationary distribution is generalized. Recurrence and strong stochastic persistence are obtained. Finally some numerical simulations are carried out to support our results.

AB - A stochastic generalized logistic model is considered in this paper. The condition of the existence of its stationary distribution is generalized. Recurrence and strong stochastic persistence are obtained. Finally some numerical simulations are carried out to support our results.

KW - Generalized logistic model

KW - Recurrence

KW - Stationary distribution

KW - Strong stochastic persistence

UR - https://www.scopus.com/pages/publications/85055199574

U2 - 10.1016/j.aml.2018.09.007

DO - 10.1016/j.aml.2018.09.007

M3 - 文章

AN - SCOPUS:85055199574

SN - 0893-9659

VL - 89

SP - 64

EP - 69

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

ER -

Recurrence and strong stochastic persistence of a stochastic single-species model

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this