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The Effect of Restrictive Interactions between Susceptible and Infected Individuals...

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Rigorous analysis introduces a contact process with avoidance with infection rate λ and avoidance/deactivation rate α, using Harris-style graphical constructions, block constructions, and eigenvalues of a leaf-generator. On Z and cycles the phase boundary shifts roughly linearly in α (same qualitative super/subcritical regimes), while hubs drop from exponential to polynomial instead of exponential survival with exponent δ = 1/γ given by a generator eigenvalue. A separate pool-testing badging framework (green/orange/red badges, ODEs and agent-based sims) shows non‑monotone costs and sometimes optimal pool sizes >1.

AI-written summary · about

  1. 0:00Introduction
  2. 1:48Epidemic restrictions modeling
  3. 21:38Contact process with avoidance
  4. 39:36Star graph analysis
  5. 44:23Badge system for pandemic control
  6. 57:42Agent-based simulations
  7. 1:02:24Cost analysis and strategies
  8. 1:05:10Q&A
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