mathematical biosciences and engineering : mbe2018Vol. 15pp. 653-666
184
sekiguchi2018dynamicsmathematical
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.