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2018 | OriginalPaper | Chapter

Chaos Control in a Two Prey and One Predator System with Predator Switching

Authors : Saheb Pal, Mainul Hossain, Sudip Samanta, Nikhil Pal

Published in: Advanced Computational and Communication Paradigms

Publisher: Springer Singapore

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Abstract

Vance (Am. Nat. 112:797–813, 1978) modeled a food web consisting of two prey and one predator with competing prey species. Gilpin (Am. Nat. 113:306–308, 1979) explored that for biological feasible parameter values, Vance’s model can produce chaotic dynamics. In the present paper, we consider a modification of Vance’s model by incorporating predator switching into the model for the same set of parameter values considered by Gilpin. We observe that if we increase switching intensity above a threshold value, then the system becomes stable from chaotic oscillations and enhances the persistence of the system.

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Literature
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Metadata
Title
Chaos Control in a Two Prey and One Predator System with Predator Switching
Authors
Saheb Pal
Mainul Hossain
Sudip Samanta
Nikhil Pal
Copyright Year
2018
Publisher
Springer Singapore
DOI
https://doi.org/10.1007/978-981-10-8237-5_42