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A shape theorem for an epidemic model in dimension $dge 3$

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 نشر من قبل Ellen Saada
 تاريخ النشر 2011
  مجال البحث
والبحث باللغة English
 تأليف Enrique Andjel




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We prove a shape theorem for the set of infected individuals in a spatial epidemic model with 3 states (susceptible-infected-recovered) on ${mathbb Z}^d,dge 3$, when there is no extinction of the infection. For this, we derive percolation estimates (using dynamic renormalization techniques) for a locally dependent random graph in correspondence with the epidemic model.



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