Further results on bifurcation for a fractional-order predator-prey system concerning mixed time delays
type: Item
instance of: scholarly article
title: Further results on bifurcation for a fractional-order predator-prey system concerning mixed time delays
zbMATH Open document ID: 1471.92273
DOI: 10.1155/2021/1535920
author: Zhenjiang Yao
author: Bingnan Tang
published in: Discrete Dynamics in Nature and Society
publication date: 2021-08-12T00:00:00Z
review text: Summary: In the present work, we mainly focus on a new established fractional-order predator-prey system concerning both types of time delays. Exploiting an advisable change of variable, we set up an isovalent fractional-order predator-prey model concerning a single delay. Taking advantage of the stability criterion and bifurcation theory of fractional-order dynamical system and regarding time delay as bifurcation parameter, we establish a new delay-independent stability and bifurcation criterion for the involved fractional-order predator-prey system. The numerical simulation figures and bifurcation plots successfully support the correctness of the established key conclusions.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 7381259
Wikidata QID: Q115521605
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/1535920
OpenAlex ID: W3175028038
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description: scientific article; zbMATH DE number 7381259