IDEAS home Printed from https://ideas.repec.org/a/taf/nmcmxx/v25y2019i5p482-498.html
   My bibliography  Save this article

On the evaluation of the takeoff time and of the peak time for innovation diffusion on assortative networks

Author

Listed:
  • Maria Letizia Bertotti
  • Giovanni Modanese

Abstract

This paper deals with a generalization of the Bass model for the description of the diffusion of innovations. The generalization keeps into account heterogeneity of the interactions of the consumers and is expressed by a system of several nonlinear differential equations on complex networks. The following contributions can be singled out: first, explicit algorithms are provided for the construction of various families of assortative scale-free networks; second, a method is provided for the identification of the takeoff time and of the peak time, which represent important turning points in the life cycle of an innovation/product; third, the emergence of specific patterns in connection with networks of the same family is observed, whose tentative interpretation is then given. Also, a comparison with an alternative approach is given, within which adoption times of different communities are evaluated of a network describing firm cooperations in South Tyrol.

Suggested Citation

  • Maria Letizia Bertotti & Giovanni Modanese, 2019. "On the evaluation of the takeoff time and of the peak time for innovation diffusion on assortative networks," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 25(5), pages 482-498, September.
    • Handle: RePEc:taf:nmcmxx:v:25:y:2019:i:5:p:482-498
    DOI: 10.1080/13873954.2019.1660997
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/13873954.2019.1660997
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/13873954.2019.1660997?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Sergei Sidorov & Alexey Faizliev & Vladimir Balash & Olga Balash & Maria Krylova & Aleksandr Fomenko, 2021. "Extended innovation diffusion models and their empirical performance on real propagation data," Journal of Marketing Analytics, Palgrave Macmillan, vol. 9(2), pages 99-110, June.
    2. Giovanni Modanese, 2023. "The Network Bass Model with Behavioral Compartments," Stats, MDPI, vol. 6(2), pages 1-13, March.
    3. Tian Liang & Bin Yang & Chenning Deng & Ping Du & Tuqiang Wang & Hongxing Zhou & Panpan Wang & Jingjing Yu & Aizhong Ding & Fujun Ma & Qingbao Gu & Fasheng Li, 2022. "Diffusion of Cement Kiln Co-Processing of Contaminated Soil in Selected Provinces of China: Engineering Practices, Modeling, and Driving Factors," Sustainability, MDPI, vol. 14(22), pages 1-13, November.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:taf:nmcmxx:v:25:y:2019:i:5:p:482-498. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/NMCM20 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.