Traveling waves for a lattice dynamical system arising in a diffusive   endemic model
  This paper is concerned with a lattice dynamical system modeling the evolution of susceptible and infective individuals at discrete niches. We prove the existence of traveling waves connecting the disease-free state to non-trivial leftover concentrations. We also characterize the minimal speed of traveling waves and we prove the non-existence of waves with smaller speeds. 
Yan-Yu Chen, Jong-Shenq Guo, Francois Hamel (I2M)
math.AP