Infection fronts in randomly varying transmission-rate media
| Autor: | Zagarra, Renzo, Laneri, Karina, Kolton, Alejandro B. |
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| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Phys. Rev. E 110, 034308 (2024) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevE.110.034308 |
| Popis: | We numerically investigate the geometry and transport properties of infection fronts within the spatial SIR model in two dimensions. The model incorporates short-range correlated quenched random transmission rates. Our findings reveal that the critical average transmission rate for the steady-state propagation of the infection is overestimated by the naive mean-field homogenization. Furthermore, we observe that the velocity, profile, and harmfulness of the fronts, given a specific average transmission, are sensitive to the details of randomness. In particular, we find that the harmfulness of the front is larger the more uniform the transmission-rate is, suggesting potential optimization in vaccination strategies under constraints like fixed average-transmission-rates or limited vaccine resources. The large-scale geometry of the advancing fronts presents nevertheless robust universal features and, for a statistically isotropic and short-range correlated disorder, we get a roughness exponent $\alpha\approx 0.42 \pm 0.10$ and a dynamical exponent $z\approx 1.6 \pm 0.10$, which are roughly compatible with the one-dimensional Kardar-Parisi-Zhang (KPZ) universality class. We find that the KPZ term and the disorder-induced effective noise are present and have a kinematic origin. Comment: 10 pages, 8 figures |
| Databáze: | arXiv |
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