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McCullen, NJ, Rucklidge, AM, Bale, CSE et al. (2 more authors) (2013) Multiparameter Models of Innovation Diffusion on Complex Networks. SIAM Journal on Applied Dynamical Systems, 12 (1). 515 - 532 (18). ISSN 1536-0040
Abstract
A model, applicable to a range of innovation diffusion applications with a strong peer-to-peer component, is developed and studied, along with methods for its investigation and analysis. A particular application is to individual households deciding whether to install an energy efficiency measure in their home. The model represents these individuals as nodes on a network, each with a variable representing their current state of adoption of the innovation. The motivation to adopt is composed of three terms, representing personal preference, an average of each individual's network neighbors' states, and a system average, which is a measure of the current social trend. The adoption state of a node changes if a weighted linear combination of these factors exceeds some threshold. Numerical simulations have been carried out, computing the average uptake after a sufficient number of time-steps over many randomizations at all model parameter values, on various network topologies, including random (Erdos-Renyi), small world (Watts-Strogatz), and (Newman) highly clustered, community-based networks. An analytical and probabilistic approach has been developed to account for the observed behavior, which explains the results of the numerical calculations.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2013, Society for Industrial and Applied Mathematics. Published in SIAM Journal on Applied Dynamical Systems. Uploaded in accordance with the publisher's self archiving policy. |
Keywords: | Innovation diffusion; Networks; Threshold models; Uptake of energy efficiency measures |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Chemical & Process Engineering (Leeds) > Energy Research Institute (Leeds) The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 16 Aug 2013 10:54 |
Last Modified: | 26 Apr 2019 10:21 |
Published Version: | http://dx.doi.org/10.1137/120885371 |
Status: | Published |
Publisher: | Society for Industrial and Applied Mathematics |
Identification Number: | 10.1137/120885371 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:76122 |
Available Versions of this Item
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Multi-parameter models of innovation diffusion on complex networks. (deposited 14 Jan 2013 12:09)
- Multiparameter Models of Innovation Diffusion on Complex Networks. (deposited 16 Aug 2013 10:54) [Currently Displayed]