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2017-03-24

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Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/132851

Equivalence between non-Markovian and Markovian dynamics in epidemic spreading processes

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https://doi.org/10.1103/PhysRevLett.118.128301

Resum

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.

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Probabilitats, Processos de Markov

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Probabilities, Markov processes

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Articles publicats en revistes (Física de la Matèria Condensada)
Articles publicats en revistes (Institut de Recerca en Sistemes Complexos (UBICS))

Citació

STARNINI, Michele, GLEESON, James P. and BOGUÑÁ, Marián. Equivalence between non-Markovian and Markovian dynamics in epidemic spreading processes. Physical Review Letters. 2017. Vol. 118, num. 12, pags. 128301. ISSN 0031-9007. [consulted: 29 of June of 2026]. Available at: https://hdl.handle.net/2445/132851

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