Selected article for: "branching process and discrete time"

Author: Sebastian J. Schreiber; Ruian Ke; Claude Loverdo; Miran Park; Priyanna Ahsan; James O. Lloyd-Smith
Title: Cross-scale dynamics and the evolutionary emergence of infectious diseases
  • Document date: 2016_7_29
  • ID: hain3be0_14
    Snippet: Methods. To solve the probabilities of emergence, we use the discrete-time branching process given by censusing the infected population at the beginning of each generation of infection. This discrete-time process is known as the embedded process [79, 80] . All the statistics of this embedded process are given by the probability generating map G : [0, 1] N +1 → [0, 1] N +1 where N + 1 is the number of types of initial viral loads i.e. all combin.....
    Document: Methods. To solve the probabilities of emergence, we use the discrete-time branching process given by censusing the infected population at the beginning of each generation of infection. This discrete-time process is known as the embedded process [79, 80] . All the statistics of this embedded process are given by the probability generating map G : [0, 1] N +1 → [0, 1] N +1 where N + 1 is the number of types of initial viral loads i.e. all combinations of wild-type and mutant virions for N virions [79, 80] . We index the coordinates by the initial number of mutant virions All rights reserved. No reuse allowed without permission.

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