Dynamic Behavior Investigation of a Novel Epidemic Model Based on COVID-19 Risk Area Categorization

This study establishes a compartment model for the categorized COVID-19 risk area. In this model, compartments represent administrative regions at different transmission levels instead of individuals in traditional epidemic models. The county-level are partitioned into High-risk (H), Medium-risk (M), and Low-risk (L) areas dynamically according to current number confirmed cases. These communicable by movement individuals. An LMH is established with ordinary differential equations (ODEs). basic reproduction R0 derived determine whether pandemic controlled. stability LHM investigated Lyapunov function Poincare–Bendixson theorem. We prove that disease-free equilibrium (R0 < 1) globally asymptotically stable disease will die out. endemic > locally stable, become endemic. numerical simulation data analysis support previous theoretical proofs. For first time, applied investigate dynamics work should be great value development precision region-specific containment strategies.