Complex dynamics of a harvesting Holling-type II predation-diffusion model

Feng Rao; Zhibin Li; Weiming Wang

doi:10.1109/WCSE.2009.616

Complex dynamics of a harvesting Holling-type II predation-diffusion model

Feng Rao^*
, Zhibin Li
, Weiming Wang

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this paper, we present a spatial version of the Holling-type II predation-diffusion model which contains external periodic forcing and constant harvest rate on prey, noise on predator. From the numerical results, we know that external periodic forcing can induce instability and enhance the oscillation of the species density. Furthermore, we demonstrate that the spatially extended system exhibit a resonant patterns and frequency-locking phenomena. Our results show that external periodic forcing, noise and harvest play a prominent role in the predation-diffusion model.

Original language	English
Title of host publication	2nd International Workshop on Computer Science and Engineering, WCSE 2009
Pages	33-37
Number of pages	5
DOIs	https://doi.org/10.1109/WCSE.2009.616
State	Published - 2009
Event	2nd International Workshop on Computer Science and Engineering, WCSE 2009 - Qingdao, China Duration: 28 Oct 2009 → 30 Oct 2009

Publication series

Name	2nd International Workshop on Computer Science and Engineering, WCSE 2009
Volume	1

Conference

Conference	2nd International Workshop on Computer Science and Engineering, WCSE 2009
Country/Territory	China
City	Qingdao
Period	28/10/09 → 30/10/09

Keywords

External forcing
Holling-type II
Noise
Predator-prey system

Access to Document

10.1109/WCSE.2009.616

Cite this

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title = "Complex dynamics of a harvesting Holling-type II predation-diffusion model",

abstract = "In this paper, we present a spatial version of the Holling-type II predation-diffusion model which contains external periodic forcing and constant harvest rate on prey, noise on predator. From the numerical results, we know that external periodic forcing can induce instability and enhance the oscillation of the species density. Furthermore, we demonstrate that the spatially extended system exhibit a resonant patterns and frequency-locking phenomena. Our results show that external periodic forcing, noise and harvest play a prominent role in the predation-diffusion model.",

keywords = "External forcing, Holling-type II, Noise, Predator-prey system",

author = "Feng Rao and Zhibin Li and Weiming Wang",

year = "2009",

doi = "10.1109/WCSE.2009.616",

language = "英语",

isbn = "9780769538815",

series = "2nd International Workshop on Computer Science and Engineering, WCSE 2009",

pages = "33--37",

booktitle = "2nd International Workshop on Computer Science and Engineering, WCSE 2009",

note = "2nd International Workshop on Computer Science and Engineering, WCSE 2009 ; Conference date: 28-10-2009 Through 30-10-2009",

}

Rao, F, Li, Z & Wang, W 2009, Complex dynamics of a harvesting Holling-type II predation-diffusion model. in 2nd International Workshop on Computer Science and Engineering, WCSE 2009., 5403433, 2nd International Workshop on Computer Science and Engineering, WCSE 2009, vol. 1, pp. 33-37, 2nd International Workshop on Computer Science and Engineering, WCSE 2009, Qingdao, China, 28/10/09. https://doi.org/10.1109/WCSE.2009.616

Complex dynamics of a harvesting Holling-type II predation-diffusion model. / Rao, Feng; Li, Zhibin; Wang, Weiming.
2nd International Workshop on Computer Science and Engineering, WCSE 2009. 2009. p. 33-37 5403433 (2nd International Workshop on Computer Science and Engineering, WCSE 2009; Vol. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

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AU - Rao, Feng

AU - Li, Zhibin

AU - Wang, Weiming

PY - 2009

Y1 - 2009

N2 - In this paper, we present a spatial version of the Holling-type II predation-diffusion model which contains external periodic forcing and constant harvest rate on prey, noise on predator. From the numerical results, we know that external periodic forcing can induce instability and enhance the oscillation of the species density. Furthermore, we demonstrate that the spatially extended system exhibit a resonant patterns and frequency-locking phenomena. Our results show that external periodic forcing, noise and harvest play a prominent role in the predation-diffusion model.

AB - In this paper, we present a spatial version of the Holling-type II predation-diffusion model which contains external periodic forcing and constant harvest rate on prey, noise on predator. From the numerical results, we know that external periodic forcing can induce instability and enhance the oscillation of the species density. Furthermore, we demonstrate that the spatially extended system exhibit a resonant patterns and frequency-locking phenomena. Our results show that external periodic forcing, noise and harvest play a prominent role in the predation-diffusion model.

KW - External forcing

KW - Holling-type II

KW - Noise

KW - Predator-prey system

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U2 - 10.1109/WCSE.2009.616

DO - 10.1109/WCSE.2009.616

M3 - 会议稿件

AN - SCOPUS:77950194014

SN - 9780769538815

T3 - 2nd International Workshop on Computer Science and Engineering, WCSE 2009

SP - 33

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BT - 2nd International Workshop on Computer Science and Engineering, WCSE 2009

T2 - 2nd International Workshop on Computer Science and Engineering, WCSE 2009

Y2 - 28 October 2009 through 30 October 2009

ER -

Complex dynamics of a harvesting Holling-type II predation-diffusion model

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Keywords

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