A single predator multiple prey model with prey mutation

Rory Mullan; Gavin M. Abernethy; David H. Glass; Mark McCartney

doi:10.1016/j.cnsns.2016.04.013

A single predator multiple prey model with prey mutation

Rory Mullan, Gavin M. Abernethy, David H. Glass, Mark McCartney

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

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Abstract

A multiple species predator-prey model is expanded with the introduction of a coupled map lattice for the prey, allowing the prey to mutate discretely into other prey species. The model is examined in its single predator, multiple mutating prey form. Two unimodal maps are used for the underlying dynamics of the prey species, with different predation strategies being used. Conclusions are drawn on how varying the control parameters of the model governs the overall behaviour and survival of the species. It is observed that in such a complex system, with multiple mutating prey, a large range of non-linear dynamics is possible.

Original language	English
Pages (from-to)	51-70
Number of pages	20
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	40
Early online date	16 Apr 2016
DOIs	https://doi.org/10.1016/j.cnsns.2016.04.013
Publication status	Published (in print/issue) - 30 Nov 2016

Keywords

Predator–prey
Multiple species
Mutation
Predation strategies

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10.1016/j.cnsns.2016.04.013

Accepted author manuscriptAuthor Accepted Manuscript, 2.71 MB

https://pure.ulster.ac.uk/en/publications/a-single-predator-multiple-prey-model-with-prey-mutation-3

Cite this

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title = "A single predator multiple prey model with prey mutation",

abstract = "A multiple species predator-prey model is expanded with the introduction of a coupled map lattice for the prey, allowing the prey to mutate discretely into other prey species. The model is examined in its single predator, multiple mutating prey form. Two unimodal maps are used for the underlying dynamics of the prey species, with different predation strategies being used. Conclusions are drawn on how varying the control parameters of the model governs the overall behaviour and survival of the species. It is observed that in such a complex system, with multiple mutating prey, a large range of non-linear dynamics is possible.",

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T1 - A single predator multiple prey model with prey mutation

AU - Mullan, Rory

AU - Abernethy, Gavin M.

AU - Glass, David H.

AU - McCartney, Mark

PY - 2016/11/30

Y1 - 2016/11/30

N2 - A multiple species predator-prey model is expanded with the introduction of a coupled map lattice for the prey, allowing the prey to mutate discretely into other prey species. The model is examined in its single predator, multiple mutating prey form. Two unimodal maps are used for the underlying dynamics of the prey species, with different predation strategies being used. Conclusions are drawn on how varying the control parameters of the model governs the overall behaviour and survival of the species. It is observed that in such a complex system, with multiple mutating prey, a large range of non-linear dynamics is possible.

AB - A multiple species predator-prey model is expanded with the introduction of a coupled map lattice for the prey, allowing the prey to mutate discretely into other prey species. The model is examined in its single predator, multiple mutating prey form. Two unimodal maps are used for the underlying dynamics of the prey species, with different predation strategies being used. Conclusions are drawn on how varying the control parameters of the model governs the overall behaviour and survival of the species. It is observed that in such a complex system, with multiple mutating prey, a large range of non-linear dynamics is possible.

KW - Predator–prey

KW - Multiple species

KW - Mutation

KW - Predation strategies

UR - https://pure.ulster.ac.uk/en/publications/a-single-predator-multiple-prey-model-with-prey-mutation-3

U2 - 10.1016/j.cnsns.2016.04.013

DO - 10.1016/j.cnsns.2016.04.013

M3 - Article

VL - 40

SP - 51

EP - 70

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

ER -

A single predator multiple prey model with prey mutation

Abstract

Keywords

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