Author: Oscar Patterson-Lomba
Title: Optimal timing for social distancing during an epidemic Document date: 2020_4_1
ID: cm91jxde_11
Snippet: The ODE system in (2)-(3) has a basic reproductive number given by R 0 = β(t)/γ. In Appendix 1 we derived the 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. The resulting expression implicitly relates the final epidemic size, y, and t 0 in a transcendental equation. Thus, y cannot be isolated as to allow a close form solution to.....
Document: The ODE system in (2)-(3) has a basic reproductive number given by R 0 = β(t)/γ. In Appendix 1 we derived the 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. The resulting expression implicitly relates the final epidemic size, y, and t 0 in a transcendental equation. Thus, y cannot be isolated as to allow a close form solution to the optimal t 0 that minimizes y.
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