Convergence results for contact branching processes.
The link between the multi-type contact birth process and the spatial deterministic S-->I epidemic is exploited to give convergence results for a multi-type Markovian contact branching process. Let U(t) be the position of furthest spread by time t in a specific direction. The asymptotic speed of translation of the distribution function of U(t) is derived and U(t)/t is shown to converge in probability to this speed.
Rass
Linda
L
School of Mathematical Sciences, Queen Mary University of London, Mile End Road, London E1 4NS, England, UK. L.Rass@qmul.ac.uk
D004196:Disease Outbreaks; D006801:Humans; D008390:Markov Chains; D008954:Models, Biological; D015233:Models, Statistical