2026-04-13T18:26:55Zhttps://recercat.cat/oai/request

oai:recercat.cat:10256/109612024-06-18T12:15:33Zcom_2072_452955com_2072_2054col_2072_453069

00925njm 22002777a 4500 dc Ripoll i Misse, Jordi author Avinyó Andrés, Albert author Pellicer Sabadí, Marta author Saldaña Meca, Joan author info:eu-repo/date/embargoEnd/2026-01-01 info:eu-repo/date/embargoEnd/2026-01-01 2015-08-12 We investigate the role of migration patterns on the spread of epidemics in complex networks. We enhance the SIS-diffusion model on metapopulations to a nonlinear diffusion. Specifically, individuals move randomly over the network but at a rate depending on the population of the departure patch. In the absence of epidemics, the migration-driven equilibrium is described by quantifying the total number of individuals living in heavily or lightly populated areas. Our analytical approach reveals that strengthening the migration from populous areas contains the infection at the early stage of the epidemic. Moreover, depending on the exponent of the nonlinear diffusion rate, epidemic outbreaks do not always occur in the most populated areas as one might expect This work is partially supported by grants MINECO MTM2011-27739-C04-03 and MTM2014-52402-C3-3-P (Spain). The authors are members of the research group 2014SGR-1083 of the Generalitat de Catalunya. http://hdl.handle.net/10256/10961 Epidèmies -- Models matemàtics Epidemics -- Mathematical models Anàlisi numèrica Numerical analysis Impact of density-dependent migration flows on epidemic outbreaks in heterogeneous metapopulations