Control of Epidemic Spreads Via Testing and Lock-Down

Subhonmesh Bose; Sebastian Souyris; Ujjal K. Mukherjee; Anton Ivanov; Sridhar Seshadri; Albert C. England; Yuqian Xu

doi:10.1109/CDC45484.2021.9683297

Control of Epidemic Spreads Via Testing and Lock-Down

Subhonmesh Bose, Sebastian Souyris, Ujjal K. Mukherjee, Anton Ivanov, Sridhar Seshadri, Albert C. England, Yuqian Xu

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Testing and lock-down are interventions that can combat the spread of an infectious disease. Testing is a targeted instrument that permits the isolation of infectious individuals. Lock-down, on the other hand, is blunt and restricts the mobility of all people. In this paper, we present a compartmental epidemic model that accounts for the impact of lock-down and different kinds of testing, motivated by the nature of the ongoing COVID-19 outbreak. We consider the testing of symptomatic, contact traced, and randomly chosen asymptomatic individuals. Using the model, we first characterize static mobility levels and testing requirements that can dampen the spread asymptotically. We then characterize a threshold-type optimal lock-down policy that minimizes the social impact of an epidemic, modeled via a sum of infection and lock-down costs. Our results are contextualized with realistic parameter values for COVID-19.

Original language	English (US)
Title of host publication	60th IEEE Conference on Decision and Control, CDC 2021
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4272-4279
Number of pages	8
ISBN (Electronic)	9781665436595
DOIs	https://doi.org/10.1109/CDC45484.2021.9683297
State	Published - 2021
Event	60th IEEE Conference on Decision and Control, CDC 2021 - Austin, United States Duration: Dec 13 2021 → Dec 17 2021

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	2021-December
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	60th IEEE Conference on Decision and Control, CDC 2021
Country/Territory	United States
City	Austin
Period	12/13/21 → 12/17/21

Keywords

COVID-19
epidemic process

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Online availability

10.1109/CDC45484.2021.9683297

Library availability

Discover UIUC Full Text

Cite this

Bose, S., Souyris, S., Mukherjee, U. K., Ivanov, A., Seshadri, S., England, A. C., & Xu, Y. (2021). Control of Epidemic Spreads Via Testing and Lock-Down. In 60th IEEE Conference on Decision and Control, CDC 2021 (pp. 4272-4279). (Proceedings of the IEEE Conference on Decision and Control; Vol. 2021-December). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC45484.2021.9683297

Control of Epidemic Spreads Via Testing and Lock-Down. / Bose, Subhonmesh; Souyris, Sebastian; Mukherjee, Ujjal K. et al.
60th IEEE Conference on Decision and Control, CDC 2021. Institute of Electrical and Electronics Engineers Inc., 2021. p. 4272-4279 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2021-December).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Bose, S, Souyris, S, Mukherjee, UK , Ivanov, A , Seshadri, S, England, AC & Xu, Y 2021, Control of Epidemic Spreads Via Testing and Lock-Down. in 60th IEEE Conference on Decision and Control, CDC 2021. Proceedings of the IEEE Conference on Decision and Control, vol. 2021-December, Institute of Electrical and Electronics Engineers Inc., pp. 4272-4279, 60th IEEE Conference on Decision and Control, CDC 2021, Austin, United States, 12/13/21. https://doi.org/10.1109/CDC45484.2021.9683297

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N2 - Testing and lock-down are interventions that can combat the spread of an infectious disease. Testing is a targeted instrument that permits the isolation of infectious individuals. Lock-down, on the other hand, is blunt and restricts the mobility of all people. In this paper, we present a compartmental epidemic model that accounts for the impact of lock-down and different kinds of testing, motivated by the nature of the ongoing COVID-19 outbreak. We consider the testing of symptomatic, contact traced, and randomly chosen asymptomatic individuals. Using the model, we first characterize static mobility levels and testing requirements that can dampen the spread asymptotically. We then characterize a threshold-type optimal lock-down policy that minimizes the social impact of an epidemic, modeled via a sum of infection and lock-down costs. Our results are contextualized with realistic parameter values for COVID-19.

AB - Testing and lock-down are interventions that can combat the spread of an infectious disease. Testing is a targeted instrument that permits the isolation of infectious individuals. Lock-down, on the other hand, is blunt and restricts the mobility of all people. In this paper, we present a compartmental epidemic model that accounts for the impact of lock-down and different kinds of testing, motivated by the nature of the ongoing COVID-19 outbreak. We consider the testing of symptomatic, contact traced, and randomly chosen asymptomatic individuals. Using the model, we first characterize static mobility levels and testing requirements that can dampen the spread asymptotically. We then characterize a threshold-type optimal lock-down policy that minimizes the social impact of an epidemic, modeled via a sum of infection and lock-down costs. Our results are contextualized with realistic parameter values for COVID-19.

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Control of Epidemic Spreads Via Testing and Lock-Down

Abstract

Publication series

Conference

Keywords

ASJC Scopus subject areas

Online availability

Library availability

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