Chaos and control in a prey-predator system with periodical harvesting and stage structure

Chao Liu; Wansheng Tang; Qingling Zhang; Jianhui Huang

Chaos and control in a prey-predator system with periodical harvesting and stage structure

Chao Liu, Wansheng Tang, Qingling Zhang, Jianhui Huang

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

Abstract

With the purpose of investigating the dynamics of prey-predator system with stage structure and periodical harvesting, a stage-structured prey-predator model with periodical harvesting is established. By virtue of the Poincaré surface-of-section technique and computation of Lyapunov exponents, chaotic behavior and quasiperiodic behavior in the proposed model are studied. Furthermore, chaotic behavior in the model system is controlled by constructing a special form of a continuous perturbation. Numerical simulations are carried out to show the consistency with theoretical analysis.

Original language	English
Title of host publication	Proceedings of the 30th Chinese Control Conference, CCC 2011
Pages	5687-5691
Number of pages	5
Publication status	Published - 27 Sept 2011
Event	30th Chinese Control Conference, CCC 2011 - Yantai, China Duration: 22 Jul 2011 → 24 Jul 2011

Conference

Conference	30th Chinese Control Conference, CCC 2011
Country/Territory	China
City	Yantai
Period	22/07/11 → 24/07/11

Keywords

Chaotic Behavior
Control
Harvesting
Prey-predator
Stage-structure

ASJC Scopus subject areas

Control and Systems Engineering

Cite this

@inproceedings{9f78b1cba76b41d497aca414a8c27134,

title = "Chaos and control in a prey-predator system with periodical harvesting and stage structure",

abstract = "With the purpose of investigating the dynamics of prey-predator system with stage structure and periodical harvesting, a stage-structured prey-predator model with periodical harvesting is established. By virtue of the Poincar{\'e} surface-of-section technique and computation of Lyapunov exponents, chaotic behavior and quasiperiodic behavior in the proposed model are studied. Furthermore, chaotic behavior in the model system is controlled by constructing a special form of a continuous perturbation. Numerical simulations are carried out to show the consistency with theoretical analysis.",

keywords = "Chaotic Behavior, Control, Harvesting, Prey-predator, Stage-structure",

author = "Chao Liu and Wansheng Tang and Qingling Zhang and Jianhui Huang",

year = "2011",

month = sep,

day = "27",

language = "English",

isbn = "9789881725592",

pages = "5687--5691",

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note = "30th Chinese Control Conference, CCC 2011 ; Conference date: 22-07-2011 Through 24-07-2011",

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Chaos and control in a prey-predator system with periodical harvesting and stage structure. / Liu, Chao; Tang, Wansheng; Zhang, Qingling et al.
Proceedings of the 30th Chinese Control Conference, CCC 2011. 2011. p. 5687-5691 6001073.

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

TY - GEN

T1 - Chaos and control in a prey-predator system with periodical harvesting and stage structure

AU - Liu, Chao

AU - Tang, Wansheng

AU - Zhang, Qingling

AU - Huang, Jianhui

PY - 2011/9/27

Y1 - 2011/9/27

N2 - With the purpose of investigating the dynamics of prey-predator system with stage structure and periodical harvesting, a stage-structured prey-predator model with periodical harvesting is established. By virtue of the Poincaré surface-of-section technique and computation of Lyapunov exponents, chaotic behavior and quasiperiodic behavior in the proposed model are studied. Furthermore, chaotic behavior in the model system is controlled by constructing a special form of a continuous perturbation. Numerical simulations are carried out to show the consistency with theoretical analysis.

AB - With the purpose of investigating the dynamics of prey-predator system with stage structure and periodical harvesting, a stage-structured prey-predator model with periodical harvesting is established. By virtue of the Poincaré surface-of-section technique and computation of Lyapunov exponents, chaotic behavior and quasiperiodic behavior in the proposed model are studied. Furthermore, chaotic behavior in the model system is controlled by constructing a special form of a continuous perturbation. Numerical simulations are carried out to show the consistency with theoretical analysis.

KW - Chaotic Behavior

KW - Control

KW - Harvesting

KW - Prey-predator

KW - Stage-structure

UR - http://www.scopus.com/inward/record.url?scp=80053059308&partnerID=8YFLogxK

M3 - Conference article published in proceeding or book

SN - 9789881725592

SP - 5687

EP - 5691

BT - Proceedings of the 30th Chinese Control Conference, CCC 2011

T2 - 30th Chinese Control Conference, CCC 2011

Y2 - 22 July 2011 through 24 July 2011

ER -

Chaos and control in a prey-predator system with periodical harvesting and stage structure

Abstract

Conference

Keywords

ASJC Scopus subject areas

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