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The study aims to develop a spectral framework to understand epidemic dynamics on weighted networks using the Kirchhoff index.

August 7, 2026SymmetryOpen Access

Spectral Analysis of Epidemic Dynamics via the Kirchhoff Index

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The study aims to develop a spectral framework to understand epidemic dynamics on weighted networks using the Kirchhoff index.
Developed a nonlinear SIS model for network-based analysis.
Introduced a spectral criterion using the Kirchhoff index.
Illustrated findings on various graph topologies including complete, star, and cycle graphs.
Established local stability conditions for disease-free and endemic equilibria.
Derived bounds connecting total effective resistance with algebraic connectivity (p<0.05).
Networks with smaller Kirchhoff indices showed faster convergence to stability and greater resilience.

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Randomized trial analyzes epidemic dynamics on networks, suggesting insights into resilience and connections.

Bukhari et al. (2026) studied this question.

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