Solvable non-Markovian dynamic network.
Phys Rev E Stat Nonlin Soft Matter Phys
; 92(4): 042801, 2015 Oct.
Article
en En
| MEDLINE
| ID: mdl-26565283
Non-Markovian processes are widespread in natural and human-made systems, yet explicit modeling and analysis of such systems is underdeveloped. We consider a non-Markovian dynamic network with random link activation and deletion (RLAD) and heavy-tailed Mittag-Leffler distribution for the interevent times. We derive an analytically and computationally tractable system of Kolmogorov-like forward equations utilizing the Caputo derivative for the probability of having a given number of active links in the network and solve them. Simulations for the RLAD are also studied for power-law interevent times and we show excellent agreement with the Mittag-Leffler model. This agreement holds even when the RLAD network dynamics is coupled with the susceptible-infected-susceptible spreading dynamics. Thus, the analytically solvable Mittag-Leffler model provides an excellent approximation to the case when the network dynamics is characterized by power-law-distributed interevent times. We further discuss possible generalizations of our result.
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1
Colección:
01-internacional
Base de datos:
MEDLINE
Asunto principal:
Modelos Teóricos
Idioma:
En
Revista:
Phys Rev E Stat Nonlin Soft Matter Phys
Asunto de la revista:
BIOFISICA
/
FISIOLOGIA
Año:
2015
Tipo del documento:
Article
País de afiliación:
Reino Unido
Pais de publicación:
Estados Unidos