Taming the Spread of an Epidemic by Lockdown Policies
Federico S, Ferrari G (2020) Center for Mathematical Economics Working Papers; 639.
Bielefeld: Center for Mathematical Economics.
Diskussionspapier
| Veröffentlicht | Englisch
Download
![Open access file OA](https://pub.uni-bielefeld.de/images/access_open.png)
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 x 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.
MSC2010 subject classification: 93E20, 49N90, 92D30, 97M40
MSC2010 subject classification: 93E20, 49N90, 92D30, 97M40
Stichworte
SIR model;
optimal stochastic control;
viscosity solution;
epidemic;
lockdown
Erscheinungsjahr
2020
Serientitel
Center for Mathematical Economics Working Papers
Band
639
Seite(n)
17
Urheberrecht / Lizenzen
ISSN
0931-6558
Page URI
https://pub.uni-bielefeld.de/record/2945084
Zitieren
Federico S, Ferrari G. Taming the Spread of an Epidemic by Lockdown Policies. Center for Mathematical Economics Working Papers. Vol 639. Bielefeld: Center for Mathematical Economics; 2020.
Federico, S., & Ferrari, G. (2020). Taming the Spread of an Epidemic by Lockdown Policies (Center for Mathematical Economics Working Papers, 639). Bielefeld: Center for Mathematical Economics.
Federico, Salvatore, and Ferrari, Giorgio. 2020. Taming the Spread of an Epidemic by Lockdown Policies. Vol. 639. Center for Mathematical Economics Working Papers. Bielefeld: Center for Mathematical Economics.
Federico, S., and Ferrari, G. (2020). Taming the Spread of an Epidemic by Lockdown Policies. Center for Mathematical Economics Working Papers, 639, Bielefeld: Center for Mathematical Economics.
Federico, S., & Ferrari, G., 2020. Taming the Spread of an Epidemic by Lockdown Policies, Center for Mathematical Economics Working Papers, no.639, Bielefeld: Center for Mathematical Economics.
S. Federico and G. Ferrari, Taming the Spread of an Epidemic by Lockdown Policies, Center for Mathematical Economics Working Papers, vol. 639, Bielefeld: Center for Mathematical Economics, 2020.
Federico, S., Ferrari, G.: Taming the Spread of an Epidemic by Lockdown Policies. Center for Mathematical Economics Working Papers, 639. Center for Mathematical Economics, Bielefeld (2020).
Federico, Salvatore, and Ferrari, Giorgio. Taming the Spread of an Epidemic by Lockdown Policies. Bielefeld: Center for Mathematical Economics, 2020. Center for Mathematical Economics Working Papers. 639.
Alle Dateien verfügbar unter der/den folgenden Lizenz(en):
Creative Commons Namensnennung 4.0 International Public License (CC-BY 4.0):
Volltext(e)
Name
IMW_working_paper_639.pdf
1.94 MB
Access Level
![Open access file OA](https://pub.uni-bielefeld.de/images/access_open.png)
Zuletzt Hochgeladen
2020-09-02T09:49:39Z
MD5 Prüfsumme
a17df4c7ce7fda781b7819c0a32c212d