###### Abstract  
The spread of panic can swiftly trigger group behaviors, leading to public security incidents and significant social hazards. Increasing attention is being paid to the impact of human psychology and behavior on the evolution and management of emergencies. Drawing on the Weber-Fechner Law, we proposed an emotional contagion model to explore the dynamics of crowd panic during metro emergencies, focusing on the interplay of emotional levels and stimuli. Key influencing factors such as crowd density, personality traits, official interventions, and evacuation rates are analyzed. Additionally, a case study is conducted to validate the model's effectiveness in quantifying emotions and characterizing the emotional contagion of crowd panic. Numerical results reveal that the initial intensity of panic stimuli significantly impacts peak panic levels, while contagion duration plays a minor role. panic intensifies with increased crowd density, with sensitive individuals being more susceptible to extreme emotions, escalating negative contagion. Official intervention proves crucial in mitigating panic, though its effect is transient in enclosed environments. Evacuation rate minimally affects emotional contagion during the train's motion but becomes pivotal post-arrival. Highly panicked passengers evacuate quickly, necessitating timely interventions to prevent secondary panic on platforms. This highlights the importance of immediate, effective control measures to manage panic dynamics and ensure public safety. emergency event; group panic; emotional contagion; Weber-Fechner law; computational prediction applied science 2020 ac  
incidents such as stampedes and other harmful accidents [1; 2]. Panic is a typical psychological response to crises. High-intensity individual panic and the spontaneous, polarized behaviors driven by it tend to spread rapidly at both the group and societal levels, evolving from individual to collective panic [3]. Group panic and irrational behavior complicate emergency management efforts, potentially exacerbating the risk associated with the initial emergency and triggering a series of secondary events with consequences more severe than the emergency itself. For instance, in 2017, a passenger on Shenzhen Metro Line 7 fainted due to discomfort, causing panic among nearby passengers. This panic led to a stampede as passengers rushed to escape, ultimately resulting in injuries to 15 people. Managing passenger emotions is crucial in the emergency management of metro incidents. As early as 1884, [PERSON] [4] and [PERSON] proposed the periphery-feedback theory of emotion, describing a \"bottom-up\" mechanism of emotion generation, where physiological changes lead to emotional arousal. The intensity of emotional arousal is influenced by several factors. Firstly, the greater the discrepancy between changes in the surrounding environment and an individual's cognition, the higher the intensity of emotional arousal. Secondly, an individual's sense of control over the event significantly impacts emotional intensity; when perceived control is weak and the event is seen as beyond one's control, this leads to heightened negative emotional arousal [5]. Furthermore, the intensity of emotional arousal is also affected by the degree to which an individual's needs are satisfied. When these needs are inadequately met, the resulting negative emotional arousal becomes more intense [6]. Behavioral experimental data suggest that emotional responses elicited by negative information have shorter latency, are faster, and involve a higher degree of arousal. This explains why an individual's panic is highly susceptible to arousal when confronted with unexpected events [7]. In addition to high arousal, panic has group and social characteristics. It is highly contagious and can easily spread from individual to group emotion through relatively spontaneous communication behaviors in disordered situations [8]. Research on group panic in emergencies has predominantly been conducted from the perspective of social psychology.