Hopf bifurcation, stability switches and chaos in a prey-predator system with three stage structure and two time delays
type: Item
instance of: scholarly article
title: Hopf bifurcation, stability switches and chaos in a prey-predator system with three stage structure and two time delays
zbMATH Open document ID: 1471.92260
author: Shunyi Li
published in: Mathematical Biosciences and Engineering
publication date: 2021-08-13T00:00:00Z
review text: The following prey-predator model with three stage structure and two time delays was considered: \begin{align*} \dot{x}_1(t)&=\alpha x_2(t)-x_1(t)(\gamma_1+\Omega+\nu x_1(t)+Ey(t)), \\ \dot{x}_2(t)&=\Omega x_1(t)-\Theta_1 x_2(t)-ax_2(t), \\ \dot{x}_3(t)&=a x_2(t)-bx_3(t), \\ \dot{y}(t)&=y(t)(KEx_1(t-\tau_1)-d-fy(t-\tau_2)). \end{align*} Delays induced Hopf bifurcation, stability switches, complicated dynamic behavior of the system are discussed.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34K18
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 7381692
zbMATH Keywords: prey-predator system
zbMATH Keywords: time delays
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: stability switches
zbMATH Keywords: chaos
reviewed by: Leonid Berezansky
MaRDI profile type: Publication
full work available at URL: mbe.2019348
OpenAlex ID: W2965279264
Wikidata QID: Q91167887
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DOI: 10.3934/MBE.2019348
description: scientific article; zbMATH DE number 7381692