The model started at t = 0 and one infected individual was introduced after 1 year, at t0 = 1 (I → 1) in order to allow the initial population dynamics to stabilize. This infected individual was considered to be at the start of the infectious period upon introduction. Prior to performing the main analyses, the effect of introduction time was analysed. Different introduction times had an effect only on the linear and sigmoid functions, where they resulted in lower invasion probabilities between t0 values of 1.2 and 1.4, which was probably a result of the low population densities (electronic supplementary material, figure S2–1). There was no effect of introduction time on disease persistence (electronic supplementary material, figure S2–2).