Stability and Hopf bifurcation in a delayed predator-prey system with stage structure for prey
type: Item
instance of: scholarly article
title: Stability and Hopf bifurcation in a delayed predator-prey system with stage structure for prey
zbMATH Open document ID: 1203.34132
author: Haijun Hu
author: Lihong Huang
published in: Nonlinear Analysis. Real World Applications
publication date: 2010-07-20T00:00:00Z
review text: The authors consider a predator-prey system of Lotka-Volterra type with time delays and stage structure for prey. By analyzing the corresponding characteristic equations, the local stability of the equilibria is investigated and Hopf bifurcations occurring at the positive equilibrium under some conditions are demonstrated. The mathematical tools which enable us to obtain sufficient conditions guaranteeing the global asymptotical stability of the equilibria, are the well-known Kamke comparison theorem and an iteration technique. Numerical simulations are carried out to illustrate the theoretical results.
reviewed by: Haifeng Huo
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34K18
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K13
zbMATH DE Number: 5757782
zbMATH Keywords: predator-prey
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: global asymptotic stability
zbMATH Keywords: stage structure
zbMATH Keywords: time delay
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2009.10.001
OpenAlex ID: W2089946086
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DOI: 10.1016/J.NONRWA.2009.10.001
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description: scientific article; zbMATH DE number 5757782