Lyapunov functions and global stability for SIR and SEIR models withage-dependent susceptibility

We consider global asymptotic properties for the SIR and SEIRage structured models for infectious diseases where the susceptibilitydepends on the age. Using the direct Lyapunov method with Volterratype Lyapunov functions, we establish conditions for the global stabilityof a unique endemic steady sta...

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Bibliographic Details
Main Authors: Andrey V. Melnik, Andrei Korobeinikov
Format: Article
Language:English
Published: AIMS Press 2012-12-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.369
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