Qualitative analysis of delayed SIR epidemic model with a saturated incidence rate
type: Item
instance of: scholarly article
title: Qualitative analysis of delayed SIR epidemic model with a saturated incidence rate
zbMATH Open document ID: 1269.34088
DOI: 10.1155/2012/408637
author: Yanyan Li
published in: International Journal of Differential Equations
publication date: 2013-06-10T00:00:00Z
review text: Summary: We consider a delayed SIR epidemic model in which the susceptibles are assumed to satisfy the logistic equation and the incidence term is of saturated form with the susceptible. We investigate the qualitative behaviour of the model and find the conditions that guarantee the asymptotic stability of corresponding steady states. We present the conditions in the time lag \(\tau\) in which the DDE model is stable. Hopf bifurcation analysis is also addressed. Numerical simulations are provided in order to illustrate the theoretical results and gain further insight into the behaviour of this system.
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K18
Mathematics Subject Classification ID: 34K13
zbMATH DE Number: 6172114
zbMATH Keywords: asymptotic stability
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: numerical simulations
Wikidata QID: Q58702772
describes a project that uses: DDE-BIFTOOL
describes a project that uses: RADAR5
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/408637
OpenAlex ID: W2120145525
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description: scientific article; zbMATH DE number 6172114