Mahmood Parsamanesh - Department of Mathematics, Faculty of Science, University of Zabol, Zabol, Iran

Acontinuous-time model for transmission of infection in a population is investi-gated. It is shown that the model has two equilibria: the infection-free equilibriumand the infected equilibrium. An speci c threshold in terms of model parameters is obtained and then existence of the equilibria and asymptotic stability of the system arestated by means of this threshold. Finally, the results are also considered numerically.

Dynamical System, Stability, Routh-Hurwitz criterion