IDEAS home Printed from https://ideas.repec.org/a/bla/presci/v52y1983i1p159-174.html
   My bibliography  Save this article

Spatio‐Temporal Spread Of Competitive Innovations: An Ecological Approach

Author

Listed:
  • Michael Sonis

Abstract

ABSTRACT This study proposes the continuous deterministic interaction model of the spread of a set of competitive innovations in space and time, and presents the Volterra‐Lotka type vectorial differential equation of the diffusion process. Three major themes are considered: i) the competitive exclusion principle and the Markov chain's approximation of the diffusion process in the neighbourhood of equilibrium points, ii) the structure of competition based on the existence of explicit analytical formulas for the solution of the non‐linear Volterra‐Lotka type vectorial differential equation for the totally antagonistic approximation of the diffusion process within the vicinity of quasi equilibrium curves; and iii) the structure of the social and physical environment, the main extreme tendencies of behaviour of adoption units and places of the environmental niches, which are the focuses of resistance and support for different competing innovations.

Suggested Citation

  • Michael Sonis, 1983. "Spatio‐Temporal Spread Of Competitive Innovations: An Ecological Approach," Papers in Regional Science, Wiley Blackwell, vol. 52(1), pages 159-174, January.
    • Handle: RePEc:bla:presci:v:52:y:1983:i:1:p:159-174
    DOI: 10.1111/j.1435-5597.1983.tb01656.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1435-5597.1983.tb01656.x
    Download Restriction: no
    File URL: https://libkey.io/10.1111/j.1435-5597.1983.tb01656.x?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
    ---><---

    Citations

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


    Cited by:

    1. Jacques Ledent, 1986. "A Model of Urbanization with Nonlinear Migration Flows," International Regional Science Review, , vol. 10(3), pages 221-242, December.

    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:bla:presci:v:52:y:1983:i:1:p:159-174. 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: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=1056-8190 .

    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.