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Two critical times for the SIR model

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 نشر من قبل Ryan Hynd
 تاريخ النشر 2020
  مجال البحث
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We consider the SIR model and study the first time the number of infected individuals begins to decrease and the first time this population is below a given threshold. We interpret these times as functions of the initial susceptible and infected populations and characterize them as solutions of a certain partial differential equation. This allows us to obtain integral representations of these times and in turn to estimate them precisely for large populations.



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