Convergence results for contact branching processes |
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Authors: | Rass Linda |
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Affiliation: | School of Mathematical Sciences, Queen Mary University of London, Mile End Road, London E1 4NS, England, UK. L.Rass@qmul.ac.uk |
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Abstract: | 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. |
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Keywords: | Multi-type contact branching process Epidemic link Asymptotic speed of translation Convergence in probability |
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