Author: Marina Voinson; Alexandra Alvergne; Sylvain Billiard; Charline Smadi
Title: Stochastic dynamics of an epidemics with recurrent spillovers from an endemic reservoir Document date: 2017_11_3
ID: b2f3a8un_58
Snippet: In this appendix, we derive results on the branching process approximation 385 stated in Section 3. The main idea of this approximation is the following: when the epidemiological process is subcritical (R0 < 1), an excursion will modifiy the state of a small number of individuals with respect to the total population size. During the i-th excursions, the direct transmission rate βSI will stay close to βS i I where S i denotes the number of susce.....
Document: In this appendix, we derive results on the branching process approximation 385 stated in Section 3. The main idea of this approximation is the following: when the epidemiological process is subcritical (R0 < 1), an excursion will modifiy the state of a small number of individuals with respect to the total population size. During the i-th excursions, the direct transmission rate βSI will stay close to βS i I where S i denotes the number of susceptibles at the beginning of the
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