Optimal strategies to control human behaviors during a catastrophic event

Irmand Mikiela; Valentina Lanza; Nathalie Verdière; Damienne Provitolo; Irmand Mikiela; Valentina Lanza; Nathalie Verdière; Damienne Provitolo

doi:10.3934/math.20221015

AIMS Mathematics

2022, Volume 7, Issue 10: 18450-18466. doi: 10.3934/math.20221015

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Optimal strategies to control human behaviors during a catastrophic event

1.
LMAH, FR-CNRS-3335, Université Le Havre Normandie, Le Havre, France
2.
Université Côte d'Azur, CNRS, Observatoire de la Côte d'Azur, IRD, Géoazur, UMR 7329, Valbonne, France

Received: 08 June 2022 Revised: 20 July 2022 Accepted: 22 July 2022 Published: 17 August 2022
MSC : 93C95, 93-10, 91D20, 92D25

In a world the more and more affected by sudden, unpredictable natural and/or industrial disasters, with few or without warning signs, it is essential to understand, analyze and control population behaviors during such events.

Our objective is to model and investigate the actions that can be deployed by operational staff during catastrophic events in order to optimize risk management, reduce panic and save lives. For this purpose, we propose and solve an optimal control problem by using Pontryagin's Maximum Principle. Finally, we determine the best control strategy in the realistic scenario of a tsunami on the French Riviera.
- optimal control,
- human behaviors,
- disaster management
Citation: Irmand Mikiela, Valentina Lanza, Nathalie Verdière, Damienne Provitolo. Optimal strategies to control human behaviors during a catastrophic event[J]. AIMS Mathematics, 2022, 7(10): 18450-18466. doi: 10.3934/math.20221015

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Abstract

In a world the more and more affected by sudden, unpredictable natural and/or industrial disasters, with few or without warning signs, it is essential to understand, analyze and control population behaviors during such events.

Our objective is to model and investigate the actions that can be deployed by operational staff during catastrophic events in order to optimize risk management, reduce panic and save lives. For this purpose, we propose and solve an optimal control problem by using Pontryagin's Maximum Principle. Finally, we determine the best control strategy in the realistic scenario of a tsunami on the French Riviera.

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