Dynamics analysis of an impulsive stochastic SIS epidemic model with standard incidence

Random disturbance, birth pulse and pulse treatments were simultaneously considered to build a class of SIS epidemic model with standard incidence．By applying the theory of stochastic differential equation， the sufficient conditions for the stochastic stability of the trivial solution were obtained.The sufficient conditions for the existence of the disease free solution were obtained by using a discrete map. The stochastic extinction of the disease was investigated by using the It formula.Moreover， numerical simulation was conducted to verify the theoretical analysis.