Abstract
The COVID-19 pandemic has caused severe global disasters,highlighting the importance of understanding the details and trends of epidemic transmission in order to introduce efficient intervention measures.While the widely used determin-istic compartmental models have qualitatively presented continuous"analytical"insight and captured some transmission features,their treatment usually lacks spatiotemporal variation.Here,we propose a stochastic individual dynamical(SID)model to mimic the random and heterogeneous nature of epidemic propagation.The SID model provides a unifying frame-work for representing the spatiotemporal variations of epidemic development by tracking the movements of each individual.Using this model,we reproduce the infection curves for COVID-19 cases in different areas globally and find the local dy-namics and heterogeneity at the individual level that affect the disease outbreak.The macroscopic trend of virus spreading is clearly illustrated from the microscopic perspective,enabling a quantitative assessment of different interventions.Seem-ingly,this model is also applicable to studying stochastic processes at the"meter scale",e.g.,human society's collective dynamics.
基金项目
国家自然科学基金(22273034)
Frontiers Science Center for Critical Earth Material Cycling of Nanjing University()