Hs. Hurd et al., A STOCHASTIC DISTRIBUTED-DELAY MODEL OF DISEASE PROCESSES IN DYNAMIC POPULATIONS, Preventive veterinary medicine, 16(1), 1993, pp. 21-29
1A simulation model that is applicable to infectious and non-infectiou
s disease is proposed. This paper describes a model for simulation of
infectious and non-infectious disease processes in dynamic populations
, and compares its behavior to a stochastic version of the Reed-Frost
model for a hypothetical infectious disease. A distributed-delay model
is applied. Monte-Carlo simulations of both modeling approaches produ
ced epidemics of randomly determined sizes. Although both models demon
strated the characteristic bimodal distributions of total number of ca
ses per epidemic, the shape of the distributions was slightly differen
t. Separation between the two peaks was not as great with the distribu
ted-delay model as with the Reed-Frost model. The tail was slightly mo
re extended than the Reed-Frost, and there were more epidemics in the
50-100 case range. Both models produced similar average attack rates.