Dynamic study of a predator-prey model with weak Allee effect and delay
type: Item
instance of: scholarly article
title: Dynamic study of a predator-prey model with weak Allee effect and delay
zbMATH Open document ID: 1447.34073
DOI: 10.1155/2019/7296461
author: Yong Ye
author: Hua Liu
author: Yu-mei Wei
author: Ming Ma
author: Kai Zhang
published in: Advances in Mathematical Physics
publication date: 2020-07-16T00:00:00Z
review text: Summary: In this paper, a prey-predator model and weak Allee effect in prey growth and its dynamical behaviors are studied in detail. The existence, boundedness, and stability of the equilibria of the model are qualitatively discussed. Bifurcation analysis is also taken into account. After incorporating the searching delay and digestion delay, we establish a delayed predator-prey system with Allee effect. The results show that there exist stability switches and Hopf bifurcation occurs while the delay crosses a set of critical values. Finally, we present some numerical simulations to illustrate our theoretical analysis.
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34K21
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K08
Mathematics Subject Classification ID: 34K13
zbMATH DE Number: 7221714
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2019/7296461
OpenAlex ID: W2964892318
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Wikidata QID: Q115521817
description: scientific article; zbMATH DE number 7221714