Optimal lock-down intensity: A stochastic pandemic control approach of path integral
Abstract: The aim of this article is to determine the optimal intensity of lock-down measures and vaccination rates to control the spread of coronavirus disease 2019. The study uses a stochastic susceptible-infected-recovered (SIR) model with infection dynamics. A Feynman-type path integral control approach is used to derive a forward Fokker-Plank-type equation for the system, which helps in performing a stochastic control analysis. The simulation study concludes that increasing the diffusion coefficients leads to a downward trend in the susceptible and recovery curves, while the infection curve becomes ergodic. Additionally, the study shows that the optimal lock-down intensity is stable around zero, and the vaccination rate increases over time.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Optimal lock-down intensity: A stochastic pandemic control approach of path integral ; volume:11 ; number:1 ; year:2023 ; extent:24
Computational and mathematical biophysics ; 11, Heft 1 (2023) (gesamt 24)
- Creator
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Pramanik, Paramahansa
- DOI
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10.1515/cmb-2023-0110
- URN
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urn:nbn:de:101:1-2023123013021725477892
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:20 AM CEST
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Associated
- Pramanik, Paramahansa
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