Modeling Stochastic Anomalies in an SIS and SIRS System
  I propose a stochastic SIS and SIRS system to include a Poisson measure term to model anomalies in the dynamics. In particular the positive integrand in the Poisson term is intended to model quarantine. Conditions are given for the stability of the disease free equilibrium for both systems. 
Andrew Vlasic
math.PR q-bio.PE