Periodic solution for a stochastic non-autonomous competitive Lotka–Volterra model in a polluted environment

Daqing Jiang; Qiumei Zhang; Tasawar Hayat; Ahmed Alsaedi

doi:10.1016/j.physa.2016.12.008

Periodic solution for a stochastic non-autonomous competitive Lotka–Volterra model in a polluted environment

Daqing Jiang
, Qiumei Zhang
, Tasawar Hayat
, Ahmed Alsaedi

China University of Petroleum (East China)
Faculty of Sciences, King Abdulaziz University
Changchun University
Quaid-I-Azam University

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

26 Scopus citations

Abstract

In this paper, we consider a stochastic non-autonomous competitive Lotka–Volterra model in a polluted environment. We derive sufficient criteria for the existence and global attractivity of the boundary periodic solutions. Furthermore, we obtain conditions for the existence and global attractivity of a nontrivial positive periodic solution. Finally we make simulations to illustrate our analytical results.

Original language	English
Pages (from-to)	276-287
Number of pages	12
Journal	Physica A: Statistical Mechanics and its Applications
Volume	471
DOIs	https://doi.org/10.1016/j.physa.2016.12.008
State	Published - 1 Apr 2017
Externally published	Yes

Keywords

Competitive Lotka–Volterra model
Global attractivity
Periodic solution
Pollution

Access to Document

10.1016/j.physa.2016.12.008

Cite this

@article{9472f2baa4974fa482d40403ea2d3ac1,

title = "Periodic solution for a stochastic non-autonomous competitive Lotka{\textendash}Volterra model in a polluted environment",

abstract = "In this paper, we consider a stochastic non-autonomous competitive Lotka{\textendash}Volterra model in a polluted environment. We derive sufficient criteria for the existence and global attractivity of the boundary periodic solutions. Furthermore, we obtain conditions for the existence and global attractivity of a nontrivial positive periodic solution. Finally we make simulations to illustrate our analytical results.",

keywords = "Competitive Lotka{\textendash}Volterra model, Global attractivity, Periodic solution, Pollution",

author = "Daqing Jiang and Qiumei Zhang and Tasawar Hayat and Ahmed Alsaedi",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier B.V.",

year = "2017",

month = apr,

day = "1",

doi = "10.1016/j.physa.2016.12.008",

language = "English",

volume = "471",

pages = "276--287",

journal = "Physica A: Statistical Mechanics and its Applications",

issn = "0378-4371",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - Periodic solution for a stochastic non-autonomous competitive Lotka–Volterra model in a polluted environment

AU - Jiang, Daqing

AU - Zhang, Qiumei

AU - Hayat, Tasawar

AU - Alsaedi, Ahmed

PY - 2017/4/1

Y1 - 2017/4/1

N2 - In this paper, we consider a stochastic non-autonomous competitive Lotka–Volterra model in a polluted environment. We derive sufficient criteria for the existence and global attractivity of the boundary periodic solutions. Furthermore, we obtain conditions for the existence and global attractivity of a nontrivial positive periodic solution. Finally we make simulations to illustrate our analytical results.

AB - In this paper, we consider a stochastic non-autonomous competitive Lotka–Volterra model in a polluted environment. We derive sufficient criteria for the existence and global attractivity of the boundary periodic solutions. Furthermore, we obtain conditions for the existence and global attractivity of a nontrivial positive periodic solution. Finally we make simulations to illustrate our analytical results.

KW - Competitive Lotka–Volterra model

KW - Global attractivity

KW - Periodic solution

KW - Pollution

UR - https://www.scopus.com/pages/publications/85007492437

U2 - 10.1016/j.physa.2016.12.008

DO - 10.1016/j.physa.2016.12.008

M3 - Article

AN - SCOPUS:85007492437

SN - 0378-4371

VL - 471

SP - 276

EP - 287

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

ER -

Periodic solution for a stochastic non-autonomous competitive Lotka–Volterra model in a polluted environment

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this