Published in Scientific Bulletin. Series F. Biotechnologies, Vol. XVII
Written by Mioara VARGA
After a short introduction of the deterministic SIS and SIR models, we present three types of stochastic epidemic models: discrete times Markov chain (DTMC) model, continuous times Markov chain (CTMC) model and stochastic differential equation (SDE) model. We discuss a stochastic epidemic model for dynamic of infectious diseases with variable population size, one which varies according to some population growth laws. Finally, we compare the stochastic differential equation of a SIS epidemic model having a constant population size with a stochastic differential equation having a variable population size.
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continuous times Markov chain (CTMC) model and stochastic differential
