Dynamics of a predator-prey system with a mate-finding Allee effect
type: Item
instance of: scholarly article
title: Dynamics of a predator-prey system with a mate-finding Allee effect
zbMATH Open document ID: 1474.92088
DOI: 10.1155/2014/673424
author: Ruiwen Wu
author: Xiuxiang Liu
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We consider a ratio-dependent predator-prey system with a mate-finding Allee effect on prey. The stability properties of the equilibria and a complete bifurcation analysis, including the existence of a saddle-node, a Hopf bifurcation, and, a Bogdanov-Takens bifurcations, have been proved theoretically and numerically. The blow-up method has been applied to investigate the structure of a neighborhood of the origin. Our mathematical results show the mate-finding Allee effect can reduce the complexity of system behaviors by making the complicated equilibrium less complicated, and it can be a destabilizing force as well, which makes the system has a high possibility of being threatened with extinction in ecology.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 37N25
zbMATH DE Number: 7022852
Wikidata QID: Q59040477
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/673424
OpenAlex ID: W2118978874
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description: scientific article; zbMATH DE number 7022852