###### Abstract
Comparatively, [PERSON] (2018) viewed the process of emotional contagion as analogous to heat dissipation in thermodynamics. He proposed the ASCRIBE model, where emotional changes in a receiver due to contagion are determined by two components: the ease with which emotion flows between agents and the emotional influence exerted by the sender. This model has inspired numerous variants ([PERSON] _et al._, 2018). Additionally, [PERSON] (2018), drawing inspiration from Newtonian physics, proposed a dynamic emotional model for groups, expressing agents' emotions in three dimensions using the PAD (Pleasure-Displeasure, Arousal-Nonarousal, Dominance-Submissiveness) model. In this approach, emotional changes are conceptualized as kinetic processes similar to those in mechanics, providing deeper insights into the intricate dynamics of emotional contagion within groups. Epidemiological models and thermodynamics-based models provide distinct approaches to modeling and analyzing emotional contagion. Epidemiological models, drawing analogies to the spread of diseases among individuals, offer a framework for describing how emotions propagate within a group, making them particularly useful for simulating both the speed and scope of emotional transmission. In contrast, thermodynamics-based models focus on the microscopic mechanisms of emotional flow from the perspective of energy transfer, making them well-suited for exploring the nuanced dynamics of emotional contagion. However, the representation of emotional computation within these studies remains somewhat ambiguous. According to the peripheral-feedback theory of emotion proposed by [PERSON] and [PERSON], stimuli trigger activity in the autonomic nervous system, producing physiological changes that subsequently lead to emotional experiences. In perceptual psychology, the Weber-Fechner Law can be applied to explain visual, auditory, tactile, and other perceptual phenomena. This law describes a quantitative relationship between the intensity of physical stimuli and human sensation, stating that the human perception of physical stimuli is proportional to the logarithm of the intensity of those stimuli ([PERSON] _et al._, 2018; [PERSON] _et al._, 2018). Emotion, in this context, can be considered a form of human perception of these physical stimuli ([PERSON] _et al._, 2018). Furthermore, the Weber-Fechner Law hasalso been validated in contexts such as negotiation interactions [39] and public opinion communication [40]. Thus, this study incorporated the Weber-Fechner Law into the investigation of emotional contagion to more accurately measure its intensity. By applying the Weber-Fechner Law, the intensity of emotional contagion is conceptualized as a logarithmic function of the emotional stimulus intensity. This allows for an improved quantification and comparison of emotional contagion across different contexts. As a result, this approach offers a robust quantitative tool for emotional contagion research, facilitating a more precise analysis of the dynamics of emotional contagion. The Weber-Fechner Law is expressed as \(S=K\lg(R)\), where \(S\) represents the sensation intensity, \(R\) is the stimulus intensity, and \(K\) is a constant. Additionally, [PERSON] [41] suggested that the degree to which individuals are affected by emotional contagion varies due to individual differences, which can be characterized as emotional sensitivity. This study, therefore, accounted for these individual differences by introducing the concept of emotional sensitivity. An emotional contagion model based on the Weber-Fechner Law was proposed to describe the relationship between emotional levels and emotional stimuli. The study simulated and analyzed the process of emotional contagion during metro emergencies to explore the transmission patterns of group panic. Through numerical simulations, the research further examined the impact of factors such as crowd density, personality traits, official interventions, and evacuation rates on the mechanisms of emotional contagion.