Document Type
Discussion Paper
Publication Date
4-1-2020
CFDP Number
2229
CFDP Pages
19
Abstract
We analyze how to optimally engage in social distancing (SD) in order to minimize the spread of an infectious disease. We identify conditions under which the optimal policy is single-peaked, i.e., first engages in increasingly more social distancing and subsequently decreases its intensity. We show that the optimal policy might delay measures that decrease the transmission rate substantially to create “herd-immunity” and that engaging in social distancing sub-optimally early can increase the number of fatalities. Finally, we find that optimal social distancing can be an effective measure in substantially reducing the death rate of a disease.
Recommended Citation
Kruse, Thomas and Strack, Philipp, "Optimal Control of an Epidemic through Social Distancing" (2020). Cowles Foundation Discussion Papers. 18.
https://elischolar.library.yale.edu/cowles-discussion-paper-series/18