Phase Boundaries and Critical Transitions in Coupled Epidemic–Behavioral Systems
by Hsuan-Wei Lee
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We introduce a spatial epidemic-behavioral model coupling SIS dynamics with evolutionary game theory to investigate voluntary isolation behaviors. Comprehensive exploration of four-dimensional parameter space (transmission, recovery, infection costs, isolation costs) reveals eight robust equilibria separated by sharp phase boundaries. Critical thresholds govern abrupt transitions between cooperation and defection regimes. A striking paradox emerges: intense cross-infection coupling drives near-universal isolation adoption yet paradoxically sustains persistent endemic infection, demonstrating that widespread cooperation does not guarantee epidemic control. The system exhibits extreme sensitivity characteristic of critical phenomena.
Phase Boundaries and Critical Transitions in Coupled Epidemic–Behavioral Systems
