Global dynamics of a differential-difference system: a case of Kermack-McKendrick SIR model with age-structured protection phase

In this paper, we are concerned with an epidemic model of susceptible, infected and recovered (SIR) population dynamic by considering an age-structured phase of protection with limited duration, for instance due to vaccination or drugs with temporary immunity. The model is reduced to a delay differe...

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Bibliographic Details

Published in:	Mathematical Biosciences and Engineering
Main Authors:	Mostafa Adimy, Abdennasser Chekroun, Claudia Pio Ferreira
Format:	Article
Language:	English
Published:	AIMS Press 2020-01-01
Subjects:	sir epidemic model age-structured pde delay differential-difference system basic reproduction number lyapunov functional local and global stability
Online Access:	https://www.aimspress.com/article/doi/10.3934/mbe.2020067?viewType=HTML