Abstract:On the basis of bilinear transmission rates βSI and SIS epidemic model in regardless of population dispersal, this paper designs a more practical SIS epidemic model by improving and adding influential condition caused by population dispersal. Meeting certain conditions with reality on the existence of equilibrium, by the basic productive number R0and eigenvalue theory this paper find that if R0<1, the diseasefree equilibrium is local and asymptotically stable, while if R0>1, the epidemic equilibrium is local and asymptotically stable. This model proposed enriches epidemic model types further.