Optimal control in models of virus propagation

Authors

DOI:

https://doi.org/10.4108/eetpht.10.6041

Keywords:

Optimal control, virus propagation, epidemic model, basic reproduction number, preemptive vaccine

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’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.

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Published

13-05-2024

How to Cite

1.
Liu X, Gubar E. Optimal control in models of virus propagation. EAI Endorsed Trans Perv Health Tech [Internet]. 2024 May 13 [cited 2024 May 20];10. Available from: https://publications.eai.eu/index.php/phat/article/view/6041

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