Mj. Keeling et Bt. Grenfell, EFFECT OF VARIABILITY IN INFECTION PERIOD ON THE PERSISTENCE AND SPATIAL SPREAD OF INFECTIOUS-DISEASES, Mathematical biosciences, 147(2), 1998, pp. 207-226
The effects of the mean infection (incubation plus infectious) period
on the dynamics of infectious diseases are well understood. We examine
the dynamics and persistence of epidemics when the distribution of th
e infection period also is modelled, using the well-documented childho
od disease measles as a test case. We pay particular attention to the
differences between exponentially distributed and constant periods. Th
e use of constant periods increases the persistence of epidemics by re
ducing the individual stochasticity. The infection period distribution
is also shown to have a significant effect on the spatial spread of d
isease. (C) 1998 Elsevier Science Inc.