Analysis on a Stochastic Two-Species Ratio-Dependent Predator-Prey Model

Jingliang Lv; Ke Wang; Dongdong Chen

doi:10.1007/s11009-013-9383-2

Analysis on a Stochastic Two-Species Ratio-Dependent Predator-Prey Model

Jingliang Lv^*
, Ke Wang
, Dongdong Chen

^*Corresponding author for this work

Harbin Institute of Technology Weihai

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

13 Scopus citations

Abstract

A stochastic two-species ratio-dependent predator-prey system is investigated. We show that there is a unique positive solution to the model for any positive initial value. Stochastically ultimate boundedness and uniform continuity are considered. Moreover, under some conditions, we conclude that the stochastic model is persistent in mean and extinct. Finally we introduce some figures to illustrate our main results.

Original language	English
Pages (from-to)	403-418
Number of pages	16
Journal	Methodology and Computing in Applied Probability
Volume	17
Issue number	2
DOIs	https://doi.org/10.1007/s11009-013-9383-2
State	Published - 1 Jun 2015
Externally published	Yes

Keywords

Comparison theorem
Persistence in mean
Predator-prey
Stochastically ultimately boundedness

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10.1007/s11009-013-9383-2

Cite this

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title = "Analysis on a Stochastic Two-Species Ratio-Dependent Predator-Prey Model",

abstract = "A stochastic two-species ratio-dependent predator-prey system is investigated. We show that there is a unique positive solution to the model for any positive initial value. Stochastically ultimate boundedness and uniform continuity are considered. Moreover, under some conditions, we conclude that the stochastic model is persistent in mean and extinct. Finally we introduce some figures to illustrate our main results.",

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AU - Lv, Jingliang

AU - Wang, Ke

AU - Chen, Dongdong

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N2 - A stochastic two-species ratio-dependent predator-prey system is investigated. We show that there is a unique positive solution to the model for any positive initial value. Stochastically ultimate boundedness and uniform continuity are considered. Moreover, under some conditions, we conclude that the stochastic model is persistent in mean and extinct. Finally we introduce some figures to illustrate our main results.

AB - A stochastic two-species ratio-dependent predator-prey system is investigated. We show that there is a unique positive solution to the model for any positive initial value. Stochastically ultimate boundedness and uniform continuity are considered. Moreover, under some conditions, we conclude that the stochastic model is persistent in mean and extinct. Finally we introduce some figures to illustrate our main results.

KW - Comparison theorem

KW - Persistence in mean

KW - Predator-prey

KW - Stochastically ultimately boundedness

UR - https://www.scopus.com/pages/publications/84890293353

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M3 - 文章

AN - SCOPUS:84890293353

SN - 1387-5841

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JO - Methodology and Computing in Applied Probability

JF - Methodology and Computing in Applied Probability

IS - 2

ER -

Analysis on a Stochastic Two-Species Ratio-Dependent Predator-Prey Model

Abstract

Keywords

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