📈 From Random Encounters to Deterministic Laws: The Gillespie Stochastic SIR and Its Mean-Field Limit 🎲
🧬 Overview and Conceptual Motivation In infectious disease modeling, a central challenge is linking random, individual-level interactions to predictable population-level dynamics. The Gillespie stochastic SIR model provides a microscopic perspective in which each infection and recovery occurs as a discrete random event. This formulation captures chance effects that dominate when case numbers are small. As … Read more