Dynamics of an ultra-discrete SIR epidemic model with time delay.
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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.
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sekiguchi2018dynamicsmathematical
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| Authors | Sekiguchi, Masaki;Ishiwata, Emiko;Nakata, Yukihiko; |
| Journal | mathematical biosciences and engineering : mbe |
| Year | 2018 |
| DOI |
10.3934/mbe.2018029
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