Optimal control in models of virus propagation

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Optimal control in models of virus propagation. / Лю, Сюсю ; Губар, Елена Алексеевна.

In: EAI Endorsed Transactions on Pervasive Health and Technology , Vol. 10, 13.05.2024.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{3c66f526f739425da8cced706350931a,

title = "Optimal control in models of virus propagation",

abstract = "Based on the SEIRD model, we consider that when multiple viruses of different virulence coexist, the more virulent virus will reinfect nodes already infected by the less virulent virus, which we call here Superexposed. Based on the state transitions, the corresponding differential equations and cost functions are established, then building the corresponding optimal control problem, where the vaccine efficiency and drug efficiency are controlled variables. This nonlinear optimal control problem is solved by Pontryagin{\textquoteright}s maximum principle to finding the structure of the optimal control strategies. Based on the definition of the basic regeneration number, yielding the R0 value for the model, then discussed the final epidemic size. In the numerical analysis section, we validate the accuracy of the structure, fitting the behavior of each state and the effect of different parameter values.",

author = "Сюсю Лю and Губар, {Елена Алексеевна}",

year = "2024",

month = may,

day = "13",

doi = "10.4108/eetpht.10.6041",

language = "English",

volume = "10",

journal = "EAI Endorsed Transactions on Pervasive Health and Technology",

issn = "2411-7145",

publisher = "European Alliance for Innovation",

}

RIS

TY - JOUR

T1 - Optimal control in models of virus propagation

AU - Лю, Сюсю

AU - Губар, Елена Алексеевна

PY - 2024/5/13

Y1 - 2024/5/13

N2 - Based on the SEIRD model, we consider that when multiple viruses of different virulence coexist, the more virulent virus will reinfect nodes already infected by the less virulent virus, which we call here Superexposed. Based on the state transitions, the corresponding differential equations and cost functions are established, then building the corresponding optimal control problem, where the vaccine efficiency and drug efficiency are controlled variables. This nonlinear optimal control problem is solved by Pontryagin’s maximum principle to finding the structure of the optimal control strategies. Based on the definition of the basic regeneration number, yielding the R0 value for the model, then discussed the final epidemic size. In the numerical analysis section, we validate the accuracy of the structure, fitting the behavior of each state and the effect of different parameter values.

AB - Based on the SEIRD model, we consider that when multiple viruses of different virulence coexist, the more virulent virus will reinfect nodes already infected by the less virulent virus, which we call here Superexposed. Based on the state transitions, the corresponding differential equations and cost functions are established, then building the corresponding optimal control problem, where the vaccine efficiency and drug efficiency are controlled variables. This nonlinear optimal control problem is solved by Pontryagin’s maximum principle to finding the structure of the optimal control strategies. Based on the definition of the basic regeneration number, yielding the R0 value for the model, then discussed the final epidemic size. In the numerical analysis section, we validate the accuracy of the structure, fitting the behavior of each state and the effect of different parameter values.

UR - https://www.mendeley.com/catalogue/99f894f2-362a-3692-8afe-b5c847a253d7/

U2 - 10.4108/eetpht.10.6041

DO - 10.4108/eetpht.10.6041

M3 - Article

VL - 10

JO - EAI Endorsed Transactions on Pervasive Health and Technology

JF - EAI Endorsed Transactions on Pervasive Health and Technology

SN - 2411-7145

ER -

ID: 120274272