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In Journal of mathematical biology

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.

Yin Shuangshuang, Wu Jianhong, Song Pengfei

2023-Jan-25

Adjoint sensitivity analysis, Deep learning, Epidemic models, Optimal control