2026-04-17T17:39:25Zhttps://recercat.cat/oai/request

oai:recercat.cat:2445/1328512025-12-04T20:44:53Zcom_2072_1057col_2072_478822col_2072_478914col_2072_478917

00925njm 22002777a 4500 dc Starnini, Michele author Gleeson, James P. author Boguñá, Marián author 2019-05-08T10:42:23Z 2019-05-08T10:42:23Z 2017-03-24 2019-05-08T10:42:23Z A general formalism is introduced to allow the steady state of non-Markovian processes on networks to be reduced to equivalent Markovian processes on the same substrates. The example of an epidemic spreading process is considered in detail, where all the non-Markovian aspects are shown to be captured within a single parameter, the effective infection rate. Remarkably, this result is independent of the topology of the underlying network, as demonstrated by numerical simulations on two-dimensional lattices and various types of random networks. Furthermore, an analytic approximation for the effective infection rate is introduced, which enables the calculation of the critical point and of the critical exponents for the non-Markovian dynamics. Probabilitats Processos de Markov Probabilities Markov processes Equivalence between non-Markovian and Markovian dynamics in epidemic spreading processes