Stability Analysis of an Age-Structured SIR Epidemic Model with a Reduction Method to ODEs

Stability Analysis of an Age-Structured SIR Epidemic Model with a Reduction Method to ODEs

In this paper, we are concerned with the asymptotic stability of the nontrivial endemic equilibrium of an age-structured susceptible-infective-recovered (SIR) epidemic model. For a special form of the disease transmission function, we perform the reduction of the model into a four-dimensional system...

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Bibliographic Details
Main Author: Toshikazu Kuniya
Format: Article
Language:English
Published: MDPI AG 2018-08-01
Series:Mathematics
Subjects:
SIR epidemic model
age structure
endemic equilibrium
stability
basic reproduction number
Online Access:http://www.mdpi.com/2227-7390/6/9/147

Internet

http://www.mdpi.com/2227-7390/6/9/147

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