Optimal Impulse Control of SIR Epidemics Over Scale-Free Networks

Vladislav Taynitskiy, Elana Gubar, Quanyan Zhu

Research outputpeer-review

Abstract

Recent wide spreading of Ransomware has created new challenges for cybersecurity over large-scale networks. The densely connected networks can exacerbate the spreading and makes the containment and control of the malware more challenging. In this work, we propose an impulse optimal control framework for epidemics over networks. The hybrid nature of discrete-time control policy of continuous-time epidemic dynamics together with the network structure poses a challenging optimal control problem. We leverage the Pontryagin’s minimum principle for impulsive systems to obtain an optimal structure of the controller and use numerical experiments to corroborate our results.
Original languageEnglish
Title of host publicationGame Theory for Networking Applications
PublisherSpringer
Pages119-129
ISBN (Electronic)978-3-319-93058-9
ISBN (Print)978-3-319-93057-2
Publication statusPublished - Aug 2019

Publication series

NameEAI/Springer Innovations in Communication and Computing book series (EAISICC)
ISSN (Electronic)2522-8609

Fingerprint

Complex networks
Controllers
Experiments
Malware

Cite this

Taynitskiy, V., Gubar, E., & Zhu, Q. (2019). Optimal Impulse Control of SIR Epidemics Over Scale-Free Networks. In Game Theory for Networking Applications (pp. 119-129). (EAI/Springer Innovations in Communication and Computing book series (EAISICC)). Springer.
Taynitskiy, Vladislav ; Gubar, Elana ; Zhu, Quanyan. / Optimal Impulse Control of SIR Epidemics Over Scale-Free Networks. Game Theory for Networking Applications. Springer, 2019. pp. 119-129 (EAI/Springer Innovations in Communication and Computing book series (EAISICC)).
@inproceedings{5a72369696d742b7a05aa0aa7ffda528,
title = "Optimal Impulse Control of SIR Epidemics Over Scale-Free Networks",
abstract = "Recent wide spreading of Ransomware has created new challenges for cybersecurity over large-scale networks. The densely connected networks can exacerbate the spreading and makes the containment and control of the malware more challenging. In this work, we propose an impulse optimal control framework for epidemics over networks. The hybrid nature of discrete-time control policy of continuous-time epidemic dynamics together with the network structure poses a challenging optimal control problem. We leverage the Pontryagin’s minimum principle for impulsive systems to obtain an optimal structure of the controller and use numerical experiments to corroborate our results.",
author = "Vladislav Taynitskiy and Elana Gubar and Quanyan Zhu",
year = "2019",
month = "8",
language = "English",
isbn = "978-3-319-93057-2",
series = "EAI/Springer Innovations in Communication and Computing book series (EAISICC)",
publisher = "Springer",
pages = "119--129",
booktitle = "Game Theory for Networking Applications",
address = "Germany",

}

Taynitskiy, V, Gubar, E & Zhu, Q 2019, Optimal Impulse Control of SIR Epidemics Over Scale-Free Networks. in Game Theory for Networking Applications. EAI/Springer Innovations in Communication and Computing book series (EAISICC), Springer, pp. 119-129.

Optimal Impulse Control of SIR Epidemics Over Scale-Free Networks. / Taynitskiy, Vladislav; Gubar, Elana; Zhu, Quanyan.

Game Theory for Networking Applications. Springer, 2019. p. 119-129 (EAI/Springer Innovations in Communication and Computing book series (EAISICC)).

Research outputpeer-review

TY - GEN

T1 - Optimal Impulse Control of SIR Epidemics Over Scale-Free Networks

AU - Taynitskiy, Vladislav

AU - Gubar, Elana

AU - Zhu, Quanyan

PY - 2019/8

Y1 - 2019/8

N2 - Recent wide spreading of Ransomware has created new challenges for cybersecurity over large-scale networks. The densely connected networks can exacerbate the spreading and makes the containment and control of the malware more challenging. In this work, we propose an impulse optimal control framework for epidemics over networks. The hybrid nature of discrete-time control policy of continuous-time epidemic dynamics together with the network structure poses a challenging optimal control problem. We leverage the Pontryagin’s minimum principle for impulsive systems to obtain an optimal structure of the controller and use numerical experiments to corroborate our results.

AB - Recent wide spreading of Ransomware has created new challenges for cybersecurity over large-scale networks. The densely connected networks can exacerbate the spreading and makes the containment and control of the malware more challenging. In this work, we propose an impulse optimal control framework for epidemics over networks. The hybrid nature of discrete-time control policy of continuous-time epidemic dynamics together with the network structure poses a challenging optimal control problem. We leverage the Pontryagin’s minimum principle for impulsive systems to obtain an optimal structure of the controller and use numerical experiments to corroborate our results.

UR - https://www.springer.com/gp/book/9783319930572

UR - https://proxy.library.spbu.ru:2096/chapter/10.1007/978-3-319-93058-9_8

M3 - Conference contribution

SN - 978-3-319-93057-2

T3 - EAI/Springer Innovations in Communication and Computing book series (EAISICC)

SP - 119

EP - 129

BT - Game Theory for Networking Applications

PB - Springer

ER -

Taynitskiy V, Gubar E, Zhu Q. Optimal Impulse Control of SIR Epidemics Over Scale-Free Networks. In Game Theory for Networking Applications. Springer. 2019. p. 119-129. (EAI/Springer Innovations in Communication and Computing book series (EAISICC)).