• Corpus ID: 218581871

On a general stochastic differential equation for SIS epidemic models

  title={On a general stochastic differential equation for SIS epidemic models},
  author={Enrico Bernardi and Alberto Lanconelli},
  journal={arXiv: Probability},
We propose a general method for studying existence and uniqueness of global strong solutions, as well as conditions for their extinction or persistence, for a large class of models, which includes the susceptible-infected-susceptible stochastic differential equation presented in \cite{Mao 2011}. Our method allows for a great flexibility in the choice of the coefficients of the equation, while preserving the essential features of several models from mathematical epidemiology. The approach… 

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