151996 20251017144633.0 doi 10.1038/s41598-021-98211-5 sideral 143298 ART-2021-143298 eng Chu, Andrew A random-walk-based epidemiological model 2021 Access copy available to the general public Unrestricted Random walkers on a two-dimensional square lattice are used to explore the spatio-temporal growth of an epidemic. We have found that a simple random-walk system generates non-trivial dynamics compared with traditional well-mixed models. Phase diagrams characterizing the long-term behaviors of the epidemics are calculated numerically. The functional dependence of the basic reproductive number R0 on the model’s defining parameters reveals the role of spatial fluctuations and leads to a novel expression for R0. Special attention is given to simulations of inter-regional transmission of the contagion. The scaling of the epidemic with respect to space and time scales is studied in detail in the critical region, which is shown to be compatible with the directed-percolation universality class. info:eu-repo/grantAgreement/ES/MINECO-FEDER/PGC2018-094684-B-C21 info:eu-repo/semantics/openAccess by https://creativecommons.org/licenses/by/4.0/deed.es 4.997 2021 MULTIDISCIPLINARY SCIENCES 19 / 74 = 0.257 2021 Q2 T1 1.005 2021 Multidisciplinary 2021 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Huber, Greg McGeever, Aaron Veytsman, Boris Yllanes, David (orcid)0000-0001-7276-2942 11 (2021), 19308 [11 pp.] Sci. rep. (Nat. Publ. Group) Scientific reports (Nature Publishing Group) 2045-2322 1940442 http://zaguan.unizar.es/record/151996/files/texto_completo.pdf Versión publicada 2659411 http://zaguan.unizar.es/record/151996/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:151996 articulos driver 2025-10-17-14:27:18 ARTICLE