Atena Ghasemabadi - Esfarayen University of Technology, Esfarayen, North Khorasan, Iran

The present paper considers a disease model with two calsses of susceptible individuls. The first group is common susceptible of disease and the second group is awareness susceptible of disease. The free-disease and endemic equilibria was obtained. The reproduction number denotes by R0. The free- disease equilibrium is locally and globally stable. By using Poincare-Bendixon theorm, the endemic equilibrium was obtained

difference scheme; Asymptotic stability; Epidemic models