$R_0$ and the global behavior of an age-structured SIS epidemic model with periodicity and vertical transmission

In this paper, we study an age-structured SIS epidemic model with periodicity and vertical transmission. We show that the spectral radius of the Fréchet derivative of a nonlinear integral operator plays the role of a threshold value for the global behavior of the model, that is, if the value is less...

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Bibliographic Details
Main Authors: Toshikazu Kuniya, Mimmo Iannelli
Format: Article
Language:English
Published: AIMS Press 2014-02-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.929
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