Epidemic percolation networks (EPNs) are directed random networks that can be used to analyze stochastic "Susceptible-Infectious-Removed" (SIR) and "Susceptible-Exposed-Infectious-Removed" (SEIR) epidemic models, unifying and generalizing previous uses of networks and branching processes to analyze mass-action and network-based S(E)IR models. This paper explains the fundamental concepts underly...

In this section is presented the stochastic SIS epidemic model for a closed environment. The order of exposition is the following: firstly is presented the deterministic SI epidemic model, secondly is presented the stochastic SI epidemic model, thirdly is presented the deterministic SIS epidemic model and finally is presented the stochastic SIS epidemic model. All these epidemic models are form...