The bass diffusion model: agent-based implementation on arbitrary networks.

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Title: The bass diffusion model: agent-based implementation on arbitrary networks.
Authors: Di Lucchio, L.1 (AUTHOR), Modanese, G.1 (AUTHOR) Giovanni.Modanese@unibz.it
Source: Mathematical & Computer Modelling of Dynamical Systems. Dec2024, Vol. 30 Issue 1, p364-384. 21p.
Subjects: Statistical ensembles, Freeware (Computer software), Integrated software, Blockade, Exponents
Abstract: The goal of this study is to model Bass diffusion and its extensions on complex networks, including scale-free networks with arbitrary power-law exponent and assortative degree correlations. For this purpose we employ a combination of the free software packages networkX and NetLogo. Some new results obtained in the agent-based simulations (and differing from those in mean-field approximation) are the following. The introduction of assortative correlations in scale-free networks has the effect of delaying the adoption peak in the Bass model, compared to the uncorrelated case. The peak time depends strongly also on the maximum degree effectively present in the network. For diffusion models with threshold on signed network, a high level of clustering tends to cause adoption blockades. By analysing statistical ensembles of assortative networks generated via Newman rewiring one observes a remarkable strong correlation between the average degree of first neighbours ${\bar k_{nn}}(k)$ k ˉ nn (k) and the average clustering coefficient $\bar C(k)$ C ˉ (k). [ABSTRACT FROM AUTHOR]
Copyright of Mathematical & Computer Modelling of Dynamical Systems is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: The bass diffusion model: agent-based implementation on arbitrary networks.
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  Data: <searchLink fieldCode="AR" term="%22Di+Lucchio%2C+L%2E%22">Di Lucchio, L.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Modanese%2C+G%2E%22">Modanese, G.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> Giovanni.Modanese@unibz.it</i>
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  Data: <searchLink fieldCode="JN" term="%22Mathematical+%26+Computer+Modelling+of+Dynamical+Systems%22">Mathematical & Computer Modelling of Dynamical Systems</searchLink>. Dec2024, Vol. 30 Issue 1, p364-384. 21p.
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  Data: <searchLink fieldCode="DE" term="%22Statistical+ensembles%22">Statistical ensembles</searchLink><br /><searchLink fieldCode="DE" term="%22Freeware+%28Computer+software%29%22">Freeware (Computer software)</searchLink><br /><searchLink fieldCode="DE" term="%22Integrated+software%22">Integrated software</searchLink><br /><searchLink fieldCode="DE" term="%22Blockade%22">Blockade</searchLink><br /><searchLink fieldCode="DE" term="%22Exponents%22">Exponents</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: The goal of this study is to model Bass diffusion and its extensions on complex networks, including scale-free networks with arbitrary power-law exponent and assortative degree correlations. For this purpose we employ a combination of the free software packages networkX and NetLogo. Some new results obtained in the agent-based simulations (and differing from those in mean-field approximation) are the following. The introduction of assortative correlations in scale-free networks has the effect of delaying the adoption peak in the Bass model, compared to the uncorrelated case. The peak time depends strongly also on the maximum degree effectively present in the network. For diffusion models with threshold on signed network, a high level of clustering tends to cause adoption blockades. By analysing statistical ensembles of assortative networks generated via Newman rewiring one observes a remarkable strong correlation between the average degree of first neighbours ${\bar k_{nn}}(k)$ k ˉ nn (k) and the average clustering coefficient $\bar C(k)$ C ˉ (k). [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Mathematical & Computer Modelling of Dynamical Systems is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1080/13873954.2024.2350244
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 21
        StartPage: 364
    Subjects:
      – SubjectFull: Statistical ensembles
        Type: general
      – SubjectFull: Freeware (Computer software)
        Type: general
      – SubjectFull: Integrated software
        Type: general
      – SubjectFull: Blockade
        Type: general
      – SubjectFull: Exponents
        Type: general
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      – TitleFull: The bass diffusion model: agent-based implementation on arbitrary networks.
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            – D: 01
              M: 12
              Text: Dec2024
              Type: published
              Y: 2024
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