Dynamics of an ultra-discrete SIR epidemic model with time delay

We propose an ultra-discretization for an SIR epidemic model with time delay. It is proven that the ultra-discrete model has a threshold property concerning global attractivity of equilibria as shown in differential and difference equation models. We also study an interesting convergence pattern of...

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Bibliographic Details
Main Authors: Masaki Sekiguchi, Emiko Ishiwata, Yukihiko Nakata
Format: Article
Language:English
Published: AIMS Press 2018-05-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2018029
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