Optimal control in models of virus propagation

被引：0
作者：
Liu X. [1 ]
Gubar E. [1 ]
机构：
[1] Faculty of Applied Mathematics and Control Processes, Saint-Petersburg State University, St. Petersburg
来源：
EAI Endorsed Transactions on Pervasive Health and Technology | 2024年 / 10卷
基金：
俄罗斯基础研究基金会;
关键词：
basic reproduction number; epidemic model; Optimal control; preemptive vaccine; virus propagation;
D O I：
10.4108/eetpht.10.6041
中图分类号：
学科分类号：
摘要：
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. © 2024 Liu et al., licensed to EAI.
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