Author: Oscar Patterson-Lomba
Title: Optimal timing for social distancing during an epidemic Document date: 2020_4_1
ID: cm91jxde_50
Snippet: Here we find an analytical expression for the final epidemic size (i.e., the fraction of infected individuals at the end of the epidemic) in the context of temporal social distancing measure. For this derivation, we assume that t I = ∞. In principle, this expression should hold a connection between the final epidemic size and t 0 . The ODE system in (2)-(3) has a basic reproductive number given by R 0 = β(t)/γ (with t ≈ 0). With no social d.....
Document: Here we find an analytical expression for the final epidemic size (i.e., the fraction of infected individuals at the end of the epidemic) in the context of temporal social distancing measure. For this derivation, we assume that t I = ∞. In principle, this expression should hold a connection between the final epidemic size and t 0 . The ODE system in (2)-(3) has a basic reproductive number given by R 0 = β(t)/γ (with t ≈ 0). With no social distancing being implemented, that is β(t) = β, the final size relation for the system (2)- (3) is:
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