Koopman J S, Chick S E, Riolo C S, Adams A L, Wilson M L, Becker M P
Department of Epidemiology, University of Michigan, Ann Arbor 48109, USA.
Sex Transm Dis. 2000 Nov;27(10):617-26. doi: 10.1097/00007435-200011000-00010.
Stochastic models of discrete individuals and deterministic models of continuous populations may give different answers to questions about infectious diseases.
Discrete individual model formulations are sought that extend deterministic models of infection transmission systems so that both model forms contribute cooperatively to model-based decision making.
GERMS models are defined as stochastic processes in continuous time with parameters analogous to those in deterministic models. A GERMS model simulator was developed that insured that the rate of events depended only on the current state of model.
The confidence intervals of long-term averages of infection level in simulated GERMS models were shown to contain the deterministic model means.
GERMS models provide a convenient framework for testing the sensitivity of model-based decisions to a variety of unrealistic assumptions that are characteristic of differential equation models. GERMS especially facilitates making more realistic assumptions about contact patterns in geographic and social space.