The numerical simulation of periodic solutions for a predator-prey system

Chun Lu; Xiaohua Ding; Mingzhu Liu

doi:10.1016/j.camwa.2009.10.007

The numerical simulation of periodic solutions for a predator-prey system

Chun Lu^*
, Xiaohua Ding
, Mingzhu Liu

^*Corresponding author for this work

Qingdao University of Technology
Harbin Institute of Technology Weihai
Harbin Institute of Technology

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

Abstract

In this article, the existence and global stability of periodic solutions for a semi-ratio-dependent predator-prey system with Holling IV functional response and time delays are investigated. Using coincidence degree theory and Lyapunov method, sufficient conditions for the existence and global stability of periodic solutions are obtained. A numerical simulation is given to illustrate the results.

Original language	English
Pages (from-to)	868-879
Number of pages	12
Journal	Computers and Mathematics with Applications
Volume	59
Issue number	2
DOIs	https://doi.org/10.1016/j.camwa.2009.10.007
State	Published - Jan 2010
Externally published	Yes

Keywords

Global stability
Lyapunov functional
Periodic solution
Semi-ratio-dependent predator-prey system

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10.1016/j.camwa.2009.10.007

Cite this

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title = "The numerical simulation of periodic solutions for a predator-prey system",

abstract = "In this article, the existence and global stability of periodic solutions for a semi-ratio-dependent predator-prey system with Holling IV functional response and time delays are investigated. Using coincidence degree theory and Lyapunov method, sufficient conditions for the existence and global stability of periodic solutions are obtained. A numerical simulation is given to illustrate the results.",

keywords = "Global stability, Lyapunov functional, Periodic solution, Semi-ratio-dependent predator-prey system",

author = "Chun Lu and Xiaohua Ding and Mingzhu Liu",

year = "2010",

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doi = "10.1016/j.camwa.2009.10.007",

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AU - Lu, Chun

AU - Ding, Xiaohua

AU - Liu, Mingzhu

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N2 - In this article, the existence and global stability of periodic solutions for a semi-ratio-dependent predator-prey system with Holling IV functional response and time delays are investigated. Using coincidence degree theory and Lyapunov method, sufficient conditions for the existence and global stability of periodic solutions are obtained. A numerical simulation is given to illustrate the results.

AB - In this article, the existence and global stability of periodic solutions for a semi-ratio-dependent predator-prey system with Holling IV functional response and time delays are investigated. Using coincidence degree theory and Lyapunov method, sufficient conditions for the existence and global stability of periodic solutions are obtained. A numerical simulation is given to illustrate the results.

KW - Global stability

KW - Lyapunov functional

KW - Periodic solution

KW - Semi-ratio-dependent predator-prey system

UR - https://www.scopus.com/pages/publications/72949104135

U2 - 10.1016/j.camwa.2009.10.007

DO - 10.1016/j.camwa.2009.10.007

M3 - 文章

AN - SCOPUS:72949104135

SN - 0898-1221

VL - 59

SP - 868

EP - 879

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 2

ER -

The numerical simulation of periodic solutions for a predator-prey system

Abstract

Keywords

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