Experiment: Contact Process Quasiperiodic Refugia Fragmentation

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Contact Process Quasiperiodic Refugia Fragmentation

Category: Epidemiology

Summary: Comparing quasiperiodic refugia against stripe and IID disorder in a 2D contact process near the active-absorbing threshold.


Spatial heterogeneity can either shelter spreading activity or break it into isolated fragments. This experiment asks whether quasiperiodic refugia in the infection and recovery fields create a distinct middle regime where activity persists longer than in uniform settings, but remains less strongly channeled than under simple stripe disorder.

The model runs a two-dimensional contact process with GPU-aware simulations over several disorder geometries, including quasiperiodic patterns, stripes, and IID randomness. The proposed mechanism is geometric frustration: incommensurate refuge corridors can support activity without letting it quickly collapse into a single dominant highway.

That makes the project a geometry comparison rather than a single-threshold estimate. It tests whether quasiperiodic structure changes persistence and directional bias in a way that neither random nor stripe disorder captures.

Method: GPU-accelerated 2D contact-process simulations comparing quasiperiodic, stripe, and IID heterogeneity in infection and recovery rates.

What is measured: Activity persistence, axial bias, fragmentation of active regions, and comparative performance of quasiperiodic versus stripe and IID disorder.


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