July 17, 2024Physical review. EOpen Access

Accuracy of discrete- and continuous-time mean-field theories for epidemic processes on complex networks

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Theoretical analysis reveals critical exponent divergences in complex networks, highlighting time discretization effects on epidemic thresholds.

Epidemic prevalence near the epidemic threshold reveals distinct critical exponents between discrete- and continuous-time complex networks models.
A critical exponent of θ=1 characterizes discrete susceptible-infected-susceptible simulations, differing from continuous theoretical predictions.
Theoretical model analysis comparing epidemic link equations with pair quenched mean-field theory demonstrates discretization affects localization.

Silva et al. (2024) studied this question.

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Theoretical analysis reveals critical exponent divergences in complex networks, highlighting time discretization effects on epidemic thresholds.