On the asymptotic behavior of the stochastic and deterministic models of an epidemic

@inproceedings{Weiss1971OnTA,
  title={On the asymptotic behavior of the stochastic and deterministic models of an epidemic},
  author={George H. Weiss and Menachem Dishon},
  year={1971}
}
Abstract The deterministic and stochastic versions of a generalization of Bailey's simple epidemic model are considered. It is shown that the asymptotic values of the expected number of infected as calculated by the two theories do not necessarily agree. Nevertheless, when the mean time to epidemic extinction is calculated from the stochastic theory, it is shown that when the deterministic mean tends to zero, the mean time to extinction remains bounded, whereas when the deterministic mean tends… CONTINUE READING

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