Abstract: We study the dynamics of a SIS epidemic model of reaction–diffusion–advection type. We further consider the effects of diffusion and advection on asymptotic profiles of endemic equilibrium:When the advection rate is relatively large comparing to the diffusion rates of both populations, then two populations persist and concentrate at the downstream end. As the diffusion rate of the susceptible population tends to zero, the density of the infected population decays exponentially for positive advection rate but linearly when there is no advection. Our results suggest that advection can help speed up the elimination of disease. This is a joint work with Prof. King-Yeung Lam and Yuan Lou.