Complexity and control in a differential-algebraic prey-predator epidemiological model with harvesting

Chao Liu; Peiyong Liu; Yuanke Li; Yanping Lin

Complexity and control in a differential-algebraic prey-predator epidemiological model with harvesting

Chao Liu, Peiyong Liu, Yuanke Li, Yanping Lin

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

Abstract

A differential-algebraic model is proposed in this paper, which is utilized to investigate complex dynamical behavior of epidemiological system with harvesting. Especially, the periodic, quasi-periodic and chaotic phenomenon in the proposed model system is studied by virtue of Poincaré surface section, Lyapunov exponents, fractal dimension and continuous spectrum. Corresponding controller is designed to stabilize chaotic behavior to target orbit. Numerical simulations show that the chaotic behavior and quasi-periodic behavior occur due to the variation of transmission rate of the infected prey.

Original language	English
Title of host publication	Proceedings of the 32nd Chinese Control Conference, CCC 2013
Publisher	IEEE Computer Society
Pages	8225-8230
Number of pages	6
ISBN (Print)	9789881563835
Publication status	Published - 18 Oct 2013
Externally published	Yes
Event	32nd Chinese Control Conference, CCC 2013 - Xi'an, China Duration: 26 Jul 2013 → 28 Jul 2013

Conference

Conference	32nd Chinese Control Conference, CCC 2013
Country/Territory	China
City	Xi'an
Period	26/07/13 → 28/07/13

Keywords

chaotic behavior
control
epidemiological system
harvesting

ASJC Scopus subject areas

Computer Science Applications
Control and Systems Engineering
Applied Mathematics
Modelling and Simulation

Cite this

@inproceedings{a0f70ae8889846438ef2a6c0502d5f52,

title = "Complexity and control in a differential-algebraic prey-predator epidemiological model with harvesting",

abstract = "A differential-algebraic model is proposed in this paper, which is utilized to investigate complex dynamical behavior of epidemiological system with harvesting. Especially, the periodic, quasi-periodic and chaotic phenomenon in the proposed model system is studied by virtue of Poincar{\'e} surface section, Lyapunov exponents, fractal dimension and continuous spectrum. Corresponding controller is designed to stabilize chaotic behavior to target orbit. Numerical simulations show that the chaotic behavior and quasi-periodic behavior occur due to the variation of transmission rate of the infected prey.",

keywords = "chaotic behavior, control, epidemiological system, harvesting",

author = "Chao Liu and Peiyong Liu and Yuanke Li and Yanping Lin",

year = "2013",

month = oct,

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language = "English",

isbn = "9789881563835",

pages = "8225--8230",

booktitle = "Proceedings of the 32nd Chinese Control Conference, CCC 2013",

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address = "United States",

note = "32nd Chinese Control Conference, CCC 2013 ; Conference date: 26-07-2013 Through 28-07-2013",

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Complexity and control in a differential-algebraic prey-predator epidemiological model with harvesting. / Liu, Chao; Liu, Peiyong; Li, Yuanke et al.

Proceedings of the 32nd Chinese Control Conference, CCC 2013. IEEE Computer Society, 2013. p. 8225-8230 6640892.

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

TY - GEN

T1 - Complexity and control in a differential-algebraic prey-predator epidemiological model with harvesting

AU - Liu, Chao

AU - Liu, Peiyong

AU - Li, Yuanke

AU - Lin, Yanping

PY - 2013/10/18

Y1 - 2013/10/18

N2 - A differential-algebraic model is proposed in this paper, which is utilized to investigate complex dynamical behavior of epidemiological system with harvesting. Especially, the periodic, quasi-periodic and chaotic phenomenon in the proposed model system is studied by virtue of Poincaré surface section, Lyapunov exponents, fractal dimension and continuous spectrum. Corresponding controller is designed to stabilize chaotic behavior to target orbit. Numerical simulations show that the chaotic behavior and quasi-periodic behavior occur due to the variation of transmission rate of the infected prey.

AB - A differential-algebraic model is proposed in this paper, which is utilized to investigate complex dynamical behavior of epidemiological system with harvesting. Especially, the periodic, quasi-periodic and chaotic phenomenon in the proposed model system is studied by virtue of Poincaré surface section, Lyapunov exponents, fractal dimension and continuous spectrum. Corresponding controller is designed to stabilize chaotic behavior to target orbit. Numerical simulations show that the chaotic behavior and quasi-periodic behavior occur due to the variation of transmission rate of the infected prey.

KW - chaotic behavior

KW - control

KW - epidemiological system

KW - harvesting

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M3 - Conference article published in proceeding or book

SN - 9789881563835

SP - 8225

EP - 8230

BT - Proceedings of the 32nd Chinese Control Conference, CCC 2013

PB - IEEE Computer Society

T2 - 32nd Chinese Control Conference, CCC 2013

Y2 - 26 July 2013 through 28 July 2013

ER -

Complexity and control in a differential-algebraic prey-predator epidemiological model with harvesting

Abstract

Conference

Keywords

ASJC Scopus subject areas

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