Taming the spread of an epidemic by lockdown policies.

Federico S, Ferrari G (2020)
Journal of mathematical economics.

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
 
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Autor*in
Federico, Salvatore; Ferrari, GiorgioUniBi
Abstract / Bemerkung
We study the problem of a policymaker who aims at taming the spread of an epidemic while minimizing its associated social costs. The main feature of our model lies in the fact that the disease's transmission rate is a diffusive stochastic process whose trend can be adjusted via costly confinement policies. We provide a complete theoretical analysis, as well as numerical experiments illustrating the structure of the optimal lockdown policy. In all our experiments the latter is characterized by three distinct periods: the epidemic is first let freely evolve, then vigorously tamed, and finally a less stringent containment should be adopted. Moreover, the optimal containment policy is such that the product "reproduction number * percentage of susceptible" is kept after a certain date strictly below the critical level of one, although the reproduction number is let oscillate above one in the last more relaxed phase of lockdown. Finally, an increase in the fluctuations of the transmission rate is shown to give rise to an earlier beginning of the optimal lockdown policy, which is also diluted over a longer period of time. © 2020 Elsevier B.V. All rights reserved.
Erscheinungsjahr
2020
Zeitschriftentitel
Journal of mathematical economics
ISSN
0304-4068
Page URI
https://pub.uni-bielefeld.de/record/2949981

Zitieren

Federico S, Ferrari G. Taming the spread of an epidemic by lockdown policies. Journal of mathematical economics. 2020.
Federico, S., & Ferrari, G. (2020). Taming the spread of an epidemic by lockdown policies. Journal of mathematical economics. doi:10.1016/j.jmateco.2020.102453
Federico, S., and Ferrari, G. (2020). Taming the spread of an epidemic by lockdown policies. Journal of mathematical economics.
Federico, S., & Ferrari, G., 2020. Taming the spread of an epidemic by lockdown policies. Journal of mathematical economics.
S. Federico and G. Ferrari, “Taming the spread of an epidemic by lockdown policies.”, Journal of mathematical economics, 2020.
Federico, S., Ferrari, G.: Taming the spread of an epidemic by lockdown policies. Journal of mathematical economics. (2020).
Federico, Salvatore, and Ferrari, Giorgio. “Taming the spread of an epidemic by lockdown policies.”. Journal of mathematical economics (2020).

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