Abstract
We present an epidemic model combined with a traffic cellular automaton. Each agent or individual is either susceptible (S) or infected (I). An agent with a certain density moves to a fixed direction on one-dimensional lattice. Simulations for SIS model show that the epidemic spreads via migration. We find a dynamical phase transition between infectious and non-infectious phases. If the density exceeds the critical limit ρC, the epidemic spreads into the population. The value of ρC decreases along with the recovery rate as predicted by mean-field theory. However, this theory cannot explain the simulation result that a traffic jam strongly affects the phase transition. It is found that the minimum value of ρC corresponds to the critical value of the jamming transition.
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