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

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ID: 90815
2018
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Abstract
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 the solution, which is illustrated in a two-dimensional lattice.
Reference Key
sekiguchi2018dynamicsmathematical Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Sekiguchi, Masaki;Ishiwata, Emiko;Nakata, Yukihiko;
Journal mathematical biosciences and engineering : mbe
Year 2018
DOI
10.3934/mbe.2018029
URL
Keywords
time delay dynamics ultra-discretization epidemic model

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