Demographic Stochasticity in the SDE SIS Epidemic Model


In this paper we discuss the stochastic differential equation (SDE) susceptibleinfected-susceptible (SIS) epidemic model with demographic stochasticity. First we prove that the SDE has a unique nonnegative solution which is bounded above. Then we give conditions needed for the solution to become extinct. Next we use the Feller test to calculate the… (More)