Dynamics of a stochastic Holling II one-predator two-prey system with jumps

Xinhong Zhang; Wenxue Li; Meng Liu; Ke Wang

doi:10.1016/j.physa.2014.11.060

Dynamics of a stochastic Holling II one-predator two-prey system with jumps

Xinhong Zhang^*
, Wenxue Li
, Meng Liu
, Ke Wang

^*Corresponding author for this work

Harbin Institute of Technology Weihai
China University of Petroleum (East China)
Huaiyin Normal University

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

56 Scopus citations

Abstract

In this paper, a stochastic Holling II one-predator two-prey system with jumps is investigated. Firstly, the properties of the solution, such as the existence and uniqueness of the global positive solution, stochastic ultimate boundedness and the pathwise estimation are studied. Then we mainly establish the sufficient conditions for the extinction and persistence in the mean of the solution. Results show that positive jump noise is advantageous to the system while negative jump noise is disadvantageous. Finally, a numerical example is introduced to illustrate the results.

Original language	English
Pages (from-to)	571-582
Number of pages	12
Journal	Physica A: Statistical Mechanics and its Applications
Volume	421
Issue number	1
DOIs	https://doi.org/10.1016/j.physa.2014.11.060
State	Published - 2015
Externally published	Yes

Keywords

Holling II predator-prey model
Jumps
Persistence and extinction
Stochastic ultimate boundedness

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10.1016/j.physa.2014.11.060

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title = "Dynamics of a stochastic Holling II one-predator two-prey system with jumps",

abstract = "In this paper, a stochastic Holling II one-predator two-prey system with jumps is investigated. Firstly, the properties of the solution, such as the existence and uniqueness of the global positive solution, stochastic ultimate boundedness and the pathwise estimation are studied. Then we mainly establish the sufficient conditions for the extinction and persistence in the mean of the solution. Results show that positive jump noise is advantageous to the system while negative jump noise is disadvantageous. Finally, a numerical example is introduced to illustrate the results.",

keywords = "Holling II predator-prey model, Jumps, Persistence and extinction, Stochastic ultimate boundedness",

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T1 - Dynamics of a stochastic Holling II one-predator two-prey system with jumps

AU - Zhang, Xinhong

AU - Li, Wenxue

AU - Liu, Meng

AU - Wang, Ke

PY - 2015

Y1 - 2015

N2 - In this paper, a stochastic Holling II one-predator two-prey system with jumps is investigated. Firstly, the properties of the solution, such as the existence and uniqueness of the global positive solution, stochastic ultimate boundedness and the pathwise estimation are studied. Then we mainly establish the sufficient conditions for the extinction and persistence in the mean of the solution. Results show that positive jump noise is advantageous to the system while negative jump noise is disadvantageous. Finally, a numerical example is introduced to illustrate the results.

AB - In this paper, a stochastic Holling II one-predator two-prey system with jumps is investigated. Firstly, the properties of the solution, such as the existence and uniqueness of the global positive solution, stochastic ultimate boundedness and the pathwise estimation are studied. Then we mainly establish the sufficient conditions for the extinction and persistence in the mean of the solution. Results show that positive jump noise is advantageous to the system while negative jump noise is disadvantageous. Finally, a numerical example is introduced to illustrate the results.

KW - Holling II predator-prey model

KW - Jumps

KW - Persistence and extinction

KW - Stochastic ultimate boundedness

UR - https://www.scopus.com/pages/publications/84937141232

U2 - 10.1016/j.physa.2014.11.060

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JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 1

ER -

Dynamics of a stochastic Holling II one-predator two-prey system with jumps

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Keywords

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