Control of Hopf bifurcation and chaos in a delayed Lotka-Volterra predator-prey system with time-delayed feedbacks
type: Item
instance of: scholarly article
title: Control of Hopf bifurcation and chaos in a delayed Lotka-Volterra predator-prey system with time-delayed feedbacks
zbMATH Open document ID: 1470.34192
DOI: 10.1155/2014/104156
author: Huitao Zhao
author: Yaowei Sun
author: Zhen Wang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: A delayed Lotka-Volterra predator-prey system with time delayed feedback is studied by using the theory of functional differential equation and Hassard's method. By choosing appropriate control parameter, we investigate the existence of Hopf bifurcation. An explicit algorithm is given to determine the directions and stabilities of the bifurcating periodic solutions. We find that these control laws can be applied to control Hopf bifurcation and chaotic attractor. Finally, some numerical simulations are given to illustrate the effectiveness of the results found.
Mathematics Subject Classification ID: 34K18
Mathematics Subject Classification ID: 34K35
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 7021741
MaRDI profile type: Publication
Wikidata QID: Q59035223
full work available at URL: https://doi.org/10.1155/2014/104156
OpenAlex ID: W2014708946
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description: scientific article; zbMATH DE number 7021741