A ratio-dependent predator-prey model with logistic growth for the predator population

Mainul Haque; Bai Larry Li

doi:10.1109/UKSIM.2008.72

A ratio-dependent predator-prey model with logistic growth for the predator population

Mainul Haque, Bai Larry Li

School of Mathematics & Physics

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

Abstract

Holling-Tanner model is revised with ratio-dependent functional response since ratio-dependent functional response is more appropriate when predator involves serious searching process. The essential mathematical features of the modified model have been analyzed with the help of local stability, global stability, bifurcation theory. Finally, analytical results have been interpreted in terms of ecology.

Original language	English
Title of host publication	Tenth International Conference on Computer Modeling and Simulation (UKSIM 2008)
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	210-215
ISBN (Print)	978-0-7695-3114-4, 0-7695-3114-8
DOIs	https://doi.org/10.1109/UKSIM.2008.72
Publication status	Published - 15 Apr 2008
Event	Tenth International Conference on Computer Modeling and Simulation - Cambridge, United Kingdom Duration: 1 Apr 2008 → 3 Apr 2008

Conference

Conference	Tenth International Conference on Computer Modeling and Simulation
Abbreviated title	uksim 2008
Country/Territory	United Kingdom
City	Cambridge
Period	1/04/08 → 3/04/08

Access to Document

10.1109/UKSIM.2008.72

http://ieeexplore.ieee.org/document/4488933/

Cite this

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title = "A ratio-dependent predator-prey model with logistic growth for the predator population",

abstract = "Holling-Tanner model is revised with ratio-dependent functional response since ratio-dependent functional response is more appropriate when predator involves serious searching process. The essential mathematical features of the modified model have been analyzed with the help of local stability, global stability, bifurcation theory. Finally, analytical results have been interpreted in terms of ecology.",

author = "Mainul Haque and Li, {Bai Larry}",

year = "2008",

month = apr,

day = "15",

doi = "10.1109/UKSIM.2008.72",

language = "English",

isbn = "978-0-7695-3114-4",

pages = "210--215",

booktitle = "Tenth International Conference on Computer Modeling and Simulation (UKSIM 2008)",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

address = "United States",

note = "Tenth International Conference on Computer Modeling and Simulation, uksim 2008 ; Conference date: 01-04-2008 Through 03-04-2008",

}

Haque, M & Li, BL 2008, A ratio-dependent predator-prey model with logistic growth for the predator population. in Tenth International Conference on Computer Modeling and Simulation (UKSIM 2008). Institute of Electrical and Electronics Engineers Inc., pp. 210-215, Tenth International Conference on Computer Modeling and Simulation, Cambridge, United Kingdom, 1/04/08. https://doi.org/10.1109/UKSIM.2008.72

TY - GEN

T1 - A ratio-dependent predator-prey model with logistic growth for the predator population

AU - Haque, Mainul

AU - Li, Bai Larry

PY - 2008/4/15

Y1 - 2008/4/15

N2 - Holling-Tanner model is revised with ratio-dependent functional response since ratio-dependent functional response is more appropriate when predator involves serious searching process. The essential mathematical features of the modified model have been analyzed with the help of local stability, global stability, bifurcation theory. Finally, analytical results have been interpreted in terms of ecology.

AB - Holling-Tanner model is revised with ratio-dependent functional response since ratio-dependent functional response is more appropriate when predator involves serious searching process. The essential mathematical features of the modified model have been analyzed with the help of local stability, global stability, bifurcation theory. Finally, analytical results have been interpreted in terms of ecology.

U2 - 10.1109/UKSIM.2008.72

DO - 10.1109/UKSIM.2008.72

M3 - Conference contribution

SN - 978-0-7695-3114-4

SN - 0-7695-3114-8

SP - 210

EP - 215

BT - Tenth International Conference on Computer Modeling and Simulation (UKSIM 2008)

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - Tenth International Conference on Computer Modeling and Simulation

Y2 - 1 April 2008 through 3 April 2008

ER -

A ratio-dependent predator-prey model with logistic growth for the predator population

Abstract

Conference

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