On a stochastic predator-prey system with modified functional response

Jingliang Lv; Ke Wang

doi:10.1002/mma.1543

On a stochastic predator-prey system with modified functional response

Jingliang Lv^*
, Ke Wang

^*Corresponding author for this work

Harbin Institute of Technology Weihai

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

3 Scopus citations

Abstract

A stochastic predator-prey system with modified functional response is investigated. We show that there is a unique positive solution to the model for any positive initial value by comparison theorem. Moreover, under some conditions, we conclude that the stochastic model is persistent in mean and extinct.

Original language	English
Pages (from-to)	144-150
Number of pages	7
Journal	Mathematical Methods in the Applied Sciences
Volume	35
Issue number	2
DOIs	https://doi.org/10.1002/mma.1543
State	Published - 30 Jan 2012
Externally published	Yes

Keywords

Beddington-DeAngelis
Comparison theorem
Extinct
Itô formula
Persistent in mean

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10.1002/mma.1543

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title = "On a stochastic predator-prey system with modified functional response",

abstract = "A stochastic predator-prey system with modified functional response is investigated. We show that there is a unique positive solution to the model for any positive initial value by comparison theorem. Moreover, under some conditions, we conclude that the stochastic model is persistent in mean and extinct.",

keywords = "Beddington-DeAngelis, Comparison theorem, Extinct, It{\^o} formula, Persistent in mean",

author = "Jingliang Lv and Ke Wang",

year = "2012",

month = jan,

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doi = "10.1002/mma.1543",

language = "英语",

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T1 - On a stochastic predator-prey system with modified functional response

AU - Lv, Jingliang

AU - Wang, Ke

PY - 2012/1/30

Y1 - 2012/1/30

N2 - A stochastic predator-prey system with modified functional response is investigated. We show that there is a unique positive solution to the model for any positive initial value by comparison theorem. Moreover, under some conditions, we conclude that the stochastic model is persistent in mean and extinct.

AB - A stochastic predator-prey system with modified functional response is investigated. We show that there is a unique positive solution to the model for any positive initial value by comparison theorem. Moreover, under some conditions, we conclude that the stochastic model is persistent in mean and extinct.

KW - Beddington-DeAngelis

KW - Comparison theorem

KW - Extinct

KW - Itô formula

KW - Persistent in mean

UR - https://www.scopus.com/pages/publications/84856262116

U2 - 10.1002/mma.1543

DO - 10.1002/mma.1543

M3 - 文章

AN - SCOPUS:84856262116

SN - 0170-4214

VL - 35

SP - 144

EP - 150

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 2

ER -

On a stochastic predator-prey system with modified functional response

Abstract

Keywords

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