000151996 001__ 151996 000151996 005__ 20251017144633.0 000151996 0247_ $$2doi$$a10.1038/s41598-021-98211-5 000151996 0248_ $$2sideral$$a143298 000151996 037__ $$aART-2021-143298 000151996 041__ $$aeng 000151996 100__ $$aChu, Andrew 000151996 245__ $$aA random-walk-based epidemiological model 000151996 260__ $$c2021 000151996 5060_ $$aAccess copy available to the general public$$fUnrestricted 000151996 5203_ $$aRandom 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. 000151996 536__ $$9info:eu-repo/grantAgreement/ES/MINECO-FEDER/PGC2018-094684-B-C21 000151996 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttps://creativecommons.org/licenses/by/4.0/deed.es 000151996 590__ $$a4.997$$b2021 000151996 591__ $$aMULTIDISCIPLINARY SCIENCES$$b19 / 74 = 0.257$$c2021$$dQ2$$eT1 000151996 592__ $$a1.005$$b2021 000151996 593__ $$aMultidisciplinary$$c2021$$dQ1 000151996 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000151996 700__ $$aHuber, Greg 000151996 700__ $$aMcGeever, Aaron 000151996 700__ $$aVeytsman, Boris 000151996 700__ $$0(orcid)0000-0001-7276-2942$$aYllanes, David 000151996 773__ $$g11 (2021), 19308 [11 pp.]$$pSci. rep. (Nat. Publ. Group)$$tScientific reports (Nature Publishing Group)$$x2045-2322 000151996 8564_ $$s1940442$$uhttps://zaguan.unizar.es/record/151996/files/texto_completo.pdf$$yVersión publicada 000151996 8564_ $$s2659411$$uhttps://zaguan.unizar.es/record/151996/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000151996 909CO $$ooai:zaguan.unizar.es:151996$$particulos$$pdriver 000151996 951__ $$a2025-10-17-14:27:18 000151996 980__ $$aARTICLE