000151966 001__ 151966
000151966 005__ 20251017144615.0
000151966 0247_ $$2doi$$a10.1103/PhysRevResearch.3.033283
000151966 0248_ $$2sideral$$a143299
000151966 037__ $$aART-2021-143299
000151966 041__ $$aeng
000151966 100__ $$aKawagoe, K.
000151966 245__ $$aEpidemic dynamics in inhomogeneous populations and the role of superspreaders
000151966 260__ $$c2021
000151966 5060_ $$aAccess copy available to the general public$$fUnrestricted
000151966 5203_ $$aA variant of the susceptible-infected-recovered model for an inhomogeneous population is introduced to account for the effect of variability in susceptibility and infectiousness across a population. An initial formulation of this dynamics leads to infinitely many differential equations. Our model, however, can be reduced to a single first-order one-dimensional differential equation. Using this approach, we provide quantitative solutions for different distributions. In particular, we use GPS data from ∼107 cell phones to determine an empirical distribution of the number of individual contacts and use this to infer a possible distribution of susceptibility and infectivity. We quantify the effect of superspreaders on the early growth rate ℛ0 of the infection and on the final epidemic size, the total number of people who are ever infected. We discuss the features of the distribution that contribute most to the dynamics of the infection.
000151966 536__ $$9info:eu-repo/grantAgreement/ES/MINECO-FEDER/PGC2018-094684-B-C21
000151966 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttps://creativecommons.org/licenses/by/4.0/deed.es
000151966 594__ $$a4.6$$b2021
000151966 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000151966 700__ $$aRychnovsky, M.
000151966 700__ $$aChang, S.
000151966 700__ $$aHuber, G.
000151966 700__ $$aLi, L.M.
000151966 700__ $$aMiller, J.
000151966 700__ $$aPnini, R.
000151966 700__ $$aVeytsman, B.
000151966 700__ $$0(orcid)0000-0001-7276-2942$$aYllanes, D.
000151966 773__ $$g3, 3 (2021), 033283 [16 pp.]$$pPhys. rev. res.$$tPhysical Review Research$$x2643-1564
000151966 8564_ $$s952245$$uhttps://zaguan.unizar.es/record/151966/files/texto_completo.pdf$$yVersión publicada
000151966 8564_ $$s3066597$$uhttps://zaguan.unizar.es/record/151966/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000151966 909CO $$ooai:zaguan.unizar.es:151966$$particulos$$pdriver
000151966 951__ $$a2025-10-17-14:18:52
000151966 980__ $$aARTICLE