Pattern formation of a spatial epidemic model with standard incidence rate

In this paper, a spatial epidemic model with standard incidence rate is investigated. We obtain the Hopf and Turing bifurcation critical line. Moreover, it is verified that the model has rich dynamics by a series of numerical simulations. Both spotted and labyrinthine patterns are obtained. Furthermore, synchronization of the susceptibles and the infected is gained in the Turing domain. The obtained results show that standard incidence rate may have great influence on the spatial pattern of disease.