Abstract:
An SIRS epidemic model with media coverage and Logistic variable population is formulated.Firstly, the equilibrium of the model is calculated;secondly, the disease-free equilibrium and the endemic equilibrium′s stability of the sufficient conditions by the modified regeneration number are given.At last, numerical simulations are conducted to verify the true of conclusion and get that media can not only accelerate a disease of disappearance and can also reduce the ratio of the number of infected in the total population, as well as a new conclusion that is the more maximum population,the lower ratio of the number of infected in the total population.And the more reaction to diseases,the higher ratio of the number of infected in the total population by observing the graphics that is the transformation of the ratio of the number of infected in the total population with time.
