Hopf bifurcation of nonlinear incidence rates SIR epidemiological models with stage structure
type: Item
instance of: scholarly article
title: Hopf bifurcation of nonlinear incidence rates SIR epidemiological models with stage structure
zbMATH Open document ID: 1009.34065
DOI: 10.1016/S1007-5704(01)90015-2
author: Z. H. Lu
author: Xianning Liu
author: Lansun Chen
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2003-05-01T00:00:00Z
review text: Here, the authors consider a nonlinear incidence rates SIR epidemiological model with stage structure. Different to bilinear rate models, there exist two positive equilibria and whether or not the disease will eventually die out may depend upon the initial values. Periodic solutions may appear by Hopf bifurcation.
Mathematics Subject Classification ID: 34K18
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 1750262
zbMATH Keywords: SIR epidemiological model
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: endemic equilibrium
zbMATH Keywords: disense-free equilibrium
zbMATH Keywords: periodic solutions
reviewed by: Wan-Tong Li
MaRDI profile type: Publication
cites work: Q4101645
cites work: Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
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cites work: The effect of dispersal on population growth with stage-structure
description: scientific article; zbMATH DE number 1750262