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Models of continuous-time networks with tie decay, diffusion, and convection.
- Source :
-
Physical review. E [Phys Rev E] 2021 Feb; Vol. 103 (2-1), pp. 022304. - Publication Year :
- 2021
-
Abstract
- The study of temporal networks in discrete time has yielded numerous insights into time-dependent networked systems in a wide variety of applications. However, for many complex systems, it is useful to develop continuous-time models of networks and to compare them to associated discrete models. In this paper, we study several continuous-time network models and examine discrete approximations of them both numerically and analytically. To consider continuous-time networks, we associate each edge in a graph with a time-dependent tie strength that can take continuous non-negative values and decays in time after the most recent interaction. We investigate how the moments of the tie strength evolve with time in several models, and we explore-both numerically and analytically-criteria for the emergence of a giant connected component in some of these models. We also briefly examine the effects of the interaction patterns of continuous-time networks on the contagion dynamics of a susceptible-infected-recovered model of an infectious disease.
Details
- Language :
- English
- ISSN :
- 2470-0053
- Volume :
- 103
- Issue :
- 2-1
- Database :
- MEDLINE
- Journal :
- Physical review. E
- Publication Type :
- Academic Journal
- Accession number :
- 33736012
- Full Text :
- https://doi.org/10.1103/PhysRevE.103.022304