Analysis and optimal control time for a continuous panic propagation in in-flight scenarios

Ayoub Abdelalim, Nadia Idrissi Fatmi, Yassine Khouldi

Abstract


Building on earlier research [1], this paper explores the propagation of panic among airplane passengers using a continuous Susceptible-Infected-Recovered (SIR) model. We apply the Pontryagin Maximum Principle to design and implement effective control strategies with the primary aim of minimizing panicked passengers during flight. The SIR model, divided into three categories - susceptible, panicked, and recovered passengers - was simulated using MATLAB. The results demonstrate the significant effectiveness of the implemented controls, underscoring their vital role in maintaining flight safety. Without these measures, the number of panicked passengers could reach critical levels, posing a considerable risk to flight safety. Furthermore, our simulations identified the optimal timing for the application of these control measures, a factor that significantly enhances their effectiveness.

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Published: 2024-04-19

How to Cite this Article:

Ayoub Abdelalim, Nadia Idrissi Fatmi, Yassine Khouldi, Analysis and optimal control time for a continuous panic propagation in in-flight scenarios, Commun. Math. Biol. Neurosci., 2024 (2024), Article ID 53

Copyright © 2024 Ayoub Abdelalim, Nadia Idrissi Fatmi, Yassine Khouldi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Commun. Math. Biol. Neurosci.

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