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This is a Quantitative Study study.

October 13, 2025Open Access

The threshold and quasi-stationary distribution for the SIS model on networks

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Analysis reveals the epidemic threshold and quasi-stationary distribution in networks, suggesting enhanced accuracy compared to previous models.

The study identifies the epidemic threshold for the SIS model on networks, and confirms improved accuracy over existing methods.
Using a dynamic state space approach, the authors achieve accurate results on both finite and infinite random graphs.
The new approximation method retains simplicity in implementation while yielding precise values for the quasi-stationary distribution.
This enhanced method helps better understand infection dynamics in complex networks, paving the way for better epidemic control strategies.

Cantwell et al. (2025) studied this question.

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Analysis reveals the epidemic threshold and quasi-stationary distribution in networks, suggesting enhanced accuracy compared to previous models.