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Network SIR Epidemic Model with Poisson Degree Distribution

Extending the SIR compartmental model to a contact network whose node degrees follow a Poisson distribution, so that a single mean-degree parameter encodes heterogeneity in how many people each individual can infect. Learners see how the network formulation is fit to real outbreak data using dynamical survival analysis and Hamiltonian Monte Carlo, and why it captures epidemic heterogeneity better than homogeneous-mixing models.

Data Text

2501.00187

The classical Susceptible-Infected-Recovered (SIR) model assumes homogeneous mixing, which ignores that people differ in how many contacts they have. This paper extends SIR to a network framework in …