Stochastic lattice gas model describing the dynamics of the SIRS epidemic process

摘要: Abstract We study a stochastic process describing the onset of spreading dynamics an epidemic in population composed individuals three classes: susceptible (S), infected (I), and recovered (R). The is defined by local rules involves following cyclic process: S → I → R → S (SIRS). open S → I → R (SIR) studied as particular case SIRS process. analyzed at different levels description: lattice gas model birth death By means Monte Carlo simulations dynamical mean-field approximations we show that exhibit line critical points separating two phases: absorbing phase where completely full S active S, I R coexist, which may or not present cycles. line, corresponds to spreading, shown belong directed percolation universality class. considering analyze role noise stabilizing oscillations.