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October 12, 2025Open Access

Mean-field Modeling of Social Interactions Using Classical Density Functional Theory

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The proposed density functional theory model introduces interaction potentials based on social interactions, enhancing epidemic modeling.
A novel instability condition was derived through linear stability analysis, indicating critical points in transmission dynamics.
Numerous numerical simulations confirmed the instability conditions and underscored the role of cross social interactions in disease spread.
The findings offer theoretical insights and guide control strategies for managing epidemic outbreaks.

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This model reveals instability conditions and analyzes epidemic transmission dynamics with social interactions.

Xu et al. (2025) studied this question.

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