Multiple bifurcations and chaos in a discrete prey-predator system with generalized Holling III functional response
type: Item
instance of: scholarly article
title: Multiple bifurcations and chaos in a discrete prey-predator system with generalized Holling III functional response
zbMATH Open document ID: 1418.92112
DOI: 10.1155/2015/245421
author: Xia Liu
author: Yanwei Liu
author: Qiaoping Li
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: A prey-predator system with the strong Allee effect and generalized Holling type III functional response is presented and discretized. It is shown that the combined influences of Allee effect and step size have an important effect on the dynamics of the system. The existences of Flip and Neimark-Sacker bifurcations and strange attractors and chaotic bands are investigated by using the center manifold theorem and bifurcation theory and some numerical methods.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 37N25
zbMATH DE Number: 7025273
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/245421
OpenAlex ID: W2012122423
Wikidata QID: Q59105711
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description: scientific article; zbMATH DE number 7025273