  A modified version of susceptible-infected-recovered-susceptible (SIRS) model
for the outbreaks of foot-and-mouth disease (FMD) is introduced. The model is
defined on small-world networks, and a ring vaccination programme is included.
This model can be a theoretical explanation for the nonlocal interactions in
epidemic spreading. Ring vaccination is capable of eradicating FMD provided
that the probability of infection is high enough. Also an analytical
approximation for this model is studied.
