English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse
  1. View item / 
  2. Item Summary

Item

ITEM ACTIONSEXPORT
Add to Basket
  Local TagsRelease HistoryDetailsSummary

Released
Journal Article

A control theory approach to optimal pandemic mitigation

MPS-Authors
/persons/resource/persons228460

Godara,  Prakhar
Group Collective phenomena far from equilibrium, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

/persons/resource/persons121410

Herminghaus,  Stephan
Group Collective phenomena far from equilibrium, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

/persons/resource/persons242077

Heidemann,  Knut M.
Group Physics of social systems, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

External Resource
No external resources are shared
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

2009.02513.pdf
(Preprint), 2MB

Supplementary Material (public)
There is no public supplementary material available
Citation

Godara, P., Herminghaus, S., & Heidemann, K. M. (2021). A control theory approach to optimal pandemic mitigation. PLoS One, 16(2): e0247445. doi:10.1371/journal.pone.0247445.


Cite as: https://hdl.handle.net/21.11116/0000-0007-034D-0
Abstract
In the framework of homogeneous susceptible-infected-recovered (SIR) models,
we use a control theory approach to identify optimal pandemic mitigation
strategies. We derive rather general conditions for reaching herd immunity
while minimizing the costs incurred by the introduction of societal control
measures (such as closing schools, social distancing, lockdowns, etc.), under
the constraint that the infected fraction of the population does never exceed a
certain maximum corresponding to public health system capacity. Optimality is
derived and verified by variational and numerical methods for a number of cost
model functions. The effects of immune response decay after recovery are taken
into account and discussed in terms of the feasibility of strategies based on
herd immunity.