Abstract Interrupted time series are increasingly being used to evaluate the population-wide implementation of public health interventions. However, the resulting estimates of intervention impact can be severely biased if underlying disease trends are not adequately accounted for. Control series...

In this paper, we investigate the stochastic spread of epidemics and rumours on networks. We focus on the general stochastic (SIR) epidemic model and a recently proposed rumour model on networks in Nekovee et al. (2007) [3], and on networks with different random structures, taking into account...

Suppose a point process is attempting to operate as closely as possible to a deterministic rate [rho], in the sense of aiming to produce [rho]t points during the interval (0,t] for all t. This can be modelled by making the instantaneous rate of t of the process a suitable function of n-[rho]t, n...