Thresholds and travelling waves for the geographical spread of infection.
A nonlinear integral equation of mixed Volterra--Fredholm type describing the spatio-temporal development of an epidemic is derived and analysed. Particular attention is paid to the hair-trigger effect and to the travelling wave problem.
D004196:Disease Outbreaks; D005843:Geography; D006801:Humans; D008433:Mathematics; D008962:Models, Theoretical