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Optimal control by deep learning techniques and its applications on epidemic models.

Authors :
Yin, Shuangshuang
Wu, Jianhong
Song, Pengfei
Source :
Journal of Mathematical Biology. Mar2023, Vol. 86 Issue 3, p1-26. 26p.
Publication Year :
2023

Abstract

We represent the optimal control functions by neural networks and solve optimal control problems by deep learning techniques. Adjoint sensitivity analysis is applied to train the neural networks embedded in differential equations. This method can not only be applied in classic epidemic control problems, but also in epidemic forecasting, discovering unknown mechanisms, and the ideas behind can give new insights to traditional mathematical epidemiological problems. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03036812
Volume :
86
Issue :
3
Database :
Academic Search Index
Journal :
Journal of Mathematical Biology
Publication Type :
Academic Journal
Accession number :
161516068
Full Text :
https://doi.org/10.1007/s00285-023-01873-0