Chaos control via feeding switching in an omnivory system

Joydev Chattopadhyay; Nikhil Pal; Sudip Samanta; Ezio Venturino; Q. J.A. Khan

doi:10.1016/j.biosystems.2015.10.006

Chaos control via feeding switching in an omnivory system

Joydev Chattopadhyay^*, Nikhil Pal, Sudip Samanta, Ezio Venturino, Q. J.A. Khan

^*Corresponding author for this work

Mathematics

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

17 Citations (Scopus)

Abstract

Tanabe and Namba (Ecology, 86, 3411-3414) studied a three species Lotka-Volterra model with omnivory and explored that omnivory can create chaos. It is well documented that predator switching is a similar biological phenomenon to omnivory and likely to occur simultaneously. In the present paper, the tri-trophic Lotka-Volterra food web model with omnivory and predator switching is re-investigated. We observe that if we incorporate predator switching in the system and the intensity of predator switching increases above a threshold value, then the system will be stable from chaotic dynamics. To study the global dynamics of the system extensive numerical simulations are performed. Our analytical and numerical results suggest that predator switching mechanism enhances the stability and the persistence of a food chain system.

Original language	English
Pages (from-to)	18-24
Number of pages	7
Journal	BioSystems
Volume	138
DOIs	https://doi.org/10.1016/j.biosystems.2015.10.006
Publication status	Published - Dec 1 2015

Keywords

Chaos
Omnivory
Predator switching
Stability
Three-species Lotka-Volterra model

ASJC Scopus subject areas

Applied Mathematics
General Biochemistry,Genetics and Molecular Biology
Statistics and Probability
Modelling and Simulation

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10.1016/j.biosystems.2015.10.006

Cite this

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title = "Chaos control via feeding switching in an omnivory system",

abstract = "Tanabe and Namba (Ecology, 86, 3411-3414) studied a three species Lotka-Volterra model with omnivory and explored that omnivory can create chaos. It is well documented that predator switching is a similar biological phenomenon to omnivory and likely to occur simultaneously. In the present paper, the tri-trophic Lotka-Volterra food web model with omnivory and predator switching is re-investigated. We observe that if we incorporate predator switching in the system and the intensity of predator switching increases above a threshold value, then the system will be stable from chaotic dynamics. To study the global dynamics of the system extensive numerical simulations are performed. Our analytical and numerical results suggest that predator switching mechanism enhances the stability and the persistence of a food chain system.",

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AU - Chattopadhyay, Joydev

AU - Pal, Nikhil

AU - Samanta, Sudip

AU - Venturino, Ezio

AU - Khan, Q. J.A.

PY - 2015/12/1

Y1 - 2015/12/1

N2 - Tanabe and Namba (Ecology, 86, 3411-3414) studied a three species Lotka-Volterra model with omnivory and explored that omnivory can create chaos. It is well documented that predator switching is a similar biological phenomenon to omnivory and likely to occur simultaneously. In the present paper, the tri-trophic Lotka-Volterra food web model with omnivory and predator switching is re-investigated. We observe that if we incorporate predator switching in the system and the intensity of predator switching increases above a threshold value, then the system will be stable from chaotic dynamics. To study the global dynamics of the system extensive numerical simulations are performed. Our analytical and numerical results suggest that predator switching mechanism enhances the stability and the persistence of a food chain system.

AB - Tanabe and Namba (Ecology, 86, 3411-3414) studied a three species Lotka-Volterra model with omnivory and explored that omnivory can create chaos. It is well documented that predator switching is a similar biological phenomenon to omnivory and likely to occur simultaneously. In the present paper, the tri-trophic Lotka-Volterra food web model with omnivory and predator switching is re-investigated. We observe that if we incorporate predator switching in the system and the intensity of predator switching increases above a threshold value, then the system will be stable from chaotic dynamics. To study the global dynamics of the system extensive numerical simulations are performed. Our analytical and numerical results suggest that predator switching mechanism enhances the stability and the persistence of a food chain system.

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KW - Predator switching

KW - Stability

KW - Three-species Lotka-Volterra model

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Chaos control via feeding switching in an omnivory system

Abstract

Keywords

ASJC Scopus subject areas

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