Optimal Impulse Control of SIR Epidemics Over Scale-Free Networks

Vladislav Taynitskiy, Elana Gubar, Quanyan Zhu

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаярецензирование

Выдержка

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.
Язык оригиналаанглийский
Название основной публикацииGame Theory for Networking Applications
ИздательSpringer
Страницы119-129
ISBN (электронное издание)978-3-319-93058-9
ISBN (печатное издание)978-3-319-93057-2
СостояниеОпубликовано - авг 2019

Серия публикаций

НазваниеEAI/Springer Innovations in Communication and Computing book series (EAISICC)
ISSN (электронное издание)2522-8609

Отпечаток

Complex networks
Controllers
Experiments
Malware

Цитировать

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

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаярецензирование

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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.

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