Models for the simple epidemic.

R W West; J R Thompson

doi:10.1016/s0025-5564(96)00169-1

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PubMed · 9077078

Models for the simple epidemic.

R W West·J R Thompson

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Abstract

Stochastic and deterministic models for the simple epidemic are formulated and compared. Both discrete and continuous time models are considered. The conjecture of equivalence between stochastic and deterministic models for large initial susceptible populations is shown to be of limited practical importance by a simulation study, whereas the number of initial infectives is shown to dramatically affect the convergence of the two types of models. In addition, the discrete stochastic model, which is easy to formulate and simulate, is shown to converge with its continuous counterpart as the time step becomes small.

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Disease Outbreaks Humans Mathematics Models, Biological Stochastic Processes Time Factors Comparative Study Journal Article

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R W West, J R Thompson. 1997-04-01. Models for the simple epidemic.. https://doi.org/10.1016/s0025-5564(96)00169-1

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