Author: Oscar Patterson-Lomba
Title: Optimal timing for social distancing during an epidemic Document date: 2020_4_1
ID: cm91jxde_55
Snippet: To check the soundness of this expression, note that if r = 1 (social distancing was completely ineffective in reducing transmission) then ω = 0, and we obtain the classical expression for the final size in Equation (5) . Another similar instance is given by σ = 1 which corresponds to T = 0. Equation (7) implicitly relates f and t 0 . The functional form of f (t 0 ) would serve to derive a condition on t 0 that minimizes f , that is, find t * 0.....
Document: To check the soundness of this expression, note that if r = 1 (social distancing was completely ineffective in reducing transmission) then ω = 0, and we obtain the classical expression for the final size in Equation (5) . Another similar instance is given by σ = 1 which corresponds to T = 0. Equation (7) implicitly relates f and t 0 . The functional form of f (t 0 ) would serve to derive a condition on t 0 that minimizes f , that is, find t * 0 such that min[f (t 0 )] = f (t * 0 ). However, such transcendental equation does not allow us to isolate f .
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