Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 120, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2023.107154
Keywords
Percolation; Diffusion percolation; Diffusion of innovations; Social contagion
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Based on a recent study on scientific collaboration networks, this research proposes an induced diffusion percolation model focusing on superactive nodes. Superactive nodes, defined as active nodes with at least k active or superactive neighbors, play a vital role in innovation diffusion by influencing their neighbors to adopt new innovations. The study investigates this induced diffusion percolation model using the modified Newman-Ziff algorithm on two-dimensional lattices (square and triangular) and regular random networks with and without clustering, revealing first-order percolation phase transition in two-dimensional lattices and a double transition in regular random networks.
Building on a recent study on scientific collaboration networks, we propose an induced diffusion percolation model that brings superactive nodes into focus. Defined as active nodes surrounded by at least k active or superactive neighbors, superactive nodes play a key role in innovation diffusion by inducing their neighbors to adopt an innovation. We investigate the induced diffusion percolation model using the modified Newman- Ziff algorithm on two-dimensional lattices (square and triangular lattices) and regular random networks with and without clustering. The induction by superactive nodes leads to a first-order percolation phase transition in two-dimensional lattices and a double transition - a continuous percolation transition followed by a discontinuous jump of the order parameter of the largest cluster's strength - in regular random networks. Whereas clustering increases the percolation threshold in the classical percolation model on regular random networks, it decreases the critical initial activation probability that triggers a discontinuous jump of the induced activation.(c) 2023 Elsevier B.V. All rights reserved.
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