Persistence and extinction of a stochastic delay Logistic equation under regime switching

Meng Liu; Wenxue Li; Ke Wang

doi:10.1016/j.aml.2012.04.010

Persistence and extinction of a stochastic delay Logistic equation under regime switching

Meng Liu^*
, Wenxue Li
, Ke Wang

^*Corresponding author for this work

Harbin Institute of Technology Weihai
Huaiyin Normal University

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

22 Scopus citations

Abstract

A stochastic delay Logistic equation under regime switching is proposed and studied. Sufficient conditions for extinction, non-persistence in the mean and weak persistence of the solutions are established. The critical value between weak persistence and extinction is obtained.

Original language	English
Pages (from-to)	140-144
Number of pages	5
Journal	Applied Mathematics Letters
Volume	26
Issue number	1
DOIs	https://doi.org/10.1016/j.aml.2012.04.010
State	Published - Jan 2013
Externally published	Yes

Keywords

Delay
Extinction
Logistic equation
Markov switching
Persistence

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10.1016/j.aml.2012.04.010

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title = "Persistence and extinction of a stochastic delay Logistic equation under regime switching",

abstract = "A stochastic delay Logistic equation under regime switching is proposed and studied. Sufficient conditions for extinction, non-persistence in the mean and weak persistence of the solutions are established. The critical value between weak persistence and extinction is obtained.",

keywords = "Delay, Extinction, Logistic equation, Markov switching, Persistence",

author = "Meng Liu and Wenxue Li and Ke Wang",

year = "2013",

month = jan,

doi = "10.1016/j.aml.2012.04.010",

language = "英语",

volume = "26",

pages = "140--144",

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T1 - Persistence and extinction of a stochastic delay Logistic equation under regime switching

AU - Liu, Meng

AU - Li, Wenxue

AU - Wang, Ke

PY - 2013/1

Y1 - 2013/1

N2 - A stochastic delay Logistic equation under regime switching is proposed and studied. Sufficient conditions for extinction, non-persistence in the mean and weak persistence of the solutions are established. The critical value between weak persistence and extinction is obtained.

AB - A stochastic delay Logistic equation under regime switching is proposed and studied. Sufficient conditions for extinction, non-persistence in the mean and weak persistence of the solutions are established. The critical value between weak persistence and extinction is obtained.

KW - Delay

KW - Extinction

KW - Logistic equation

KW - Markov switching

KW - Persistence

UR - https://www.scopus.com/pages/publications/84866047918

U2 - 10.1016/j.aml.2012.04.010

DO - 10.1016/j.aml.2012.04.010

M3 - 文章

AN - SCOPUS:84866047918

SN - 0893-9659

VL - 26

SP - 140

EP - 144

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 1

ER -

Persistence and extinction of a stochastic delay Logistic equation under regime switching

Abstract

Keywords

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