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

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.