Limit cycles of a predator-prey model with intratrophic predation

Joe M. Hill; Noel G. Lloyd; Jane M. Pearson

doi:10.1016/j.jmaa.2008.09.022

Limit cycles of a predator-prey model with intratrophic predation

Joe M. Hill, Noel G. Lloyd, Jane M. Pearson

Department of Physics

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Abstract

We present some properties of a differential system that can be used to model intratrophic predation in simple predator-prey models. In particular, for the model we determine the maximum number of limit cycles that can exist around the only fine focus in the first quadrant and show that this critical point cannot be a centre.

Original language	English
Pages (from-to)	544-555
Number of pages	12
Journal	Journal of Mathematical Analysis and Applications
Volume	349
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2008.09.022
Publication status	Published - 2008

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10.1016/j.jmaa.2008.09.022

http://hdl.handle.net/2160/881

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title = "Limit cycles of a predator-prey model with intratrophic predation",

abstract = "We present some properties of a differential system that can be used to model intratrophic predation in simple predator-prey models. In particular, for the model we determine the maximum number of limit cycles that can exist around the only fine focus in the first quadrant and show that this critical point cannot be a centre.",

author = "Hill, {Joe M.} and Lloyd, {Noel G.} and Pearson, {Jane M.}",

note = "Hill, Joe M., Lloyd, Noel G., Pearson, Jane M., 'Limit cycles of a predator-prey model with intratrophic predation', Journal of Mathematical Analysis and Applications Volume 349, Issue 2, 15 January 2009, Pages 544-555",

year = "2008",

doi = "10.1016/j.jmaa.2008.09.022",

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pages = "544--555",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

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T1 - Limit cycles of a predator-prey model with intratrophic predation

AU - Hill, Joe M.

AU - Lloyd, Noel G.

AU - Pearson, Jane M.

N1 - Hill, Joe M., Lloyd, Noel G., Pearson, Jane M., 'Limit cycles of a predator-prey model with intratrophic predation', Journal of Mathematical Analysis and Applications Volume 349, Issue 2, 15 January 2009, Pages 544-555

PY - 2008

Y1 - 2008

N2 - We present some properties of a differential system that can be used to model intratrophic predation in simple predator-prey models. In particular, for the model we determine the maximum number of limit cycles that can exist around the only fine focus in the first quadrant and show that this critical point cannot be a centre.

AB - We present some properties of a differential system that can be used to model intratrophic predation in simple predator-prey models. In particular, for the model we determine the maximum number of limit cycles that can exist around the only fine focus in the first quadrant and show that this critical point cannot be a centre.

U2 - 10.1016/j.jmaa.2008.09.022

DO - 10.1016/j.jmaa.2008.09.022

M3 - Article

SN - 0022-247X

VL - 349

SP - 544

EP - 555

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Limit cycles of a predator-prey model with intratrophic predation

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