IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v389y2010i21p4970-4980.html
   My bibliography  Save this article

Verhulst–Lotka–Volterra (VLV) model of ideological struggle

Author

Listed:
  • Vitanov, Nikolay K.
  • Dimitrova, Zlatinka I.
  • Ausloos, Marcel

Abstract

A model for ideological struggles is formulated. The underlying set is a closed one, like a country but in which the population size is variable in time. The dynamics of the struggle is described by model equations of Verhulst–Lotka–Volterra kind. Several “ideologies” compete to increase their number of adepts. Such followers can be either converted from one ideology to another or become followers of an ideology though being previously ideologically-free. A reverse process is also allowed. Two kinds of conversions are considered: unitary conversion, e.g. by means of mass communication tools, or binary conversion, e.g. by means of interactions between people. It is found that the steady state, when it exists, depends on the number of ideologies. Moreover when the number of ideologies increases some tension arises between them. This tension can change in the course of time. We propose to measure the ideology tensions through an appropriately defined scale index. Finally it is shown that a slight change in the conditions of the environment can prevent the extinction of some ideology; after almost collapsing the ideology can spread again and can affect a significant part of the country’s population. Two kinds of such resurrection effects are described as phoenix effects.

Suggested Citation

  • Vitanov, Nikolay K. & Dimitrova, Zlatinka I. & Ausloos, Marcel, 2010. "Verhulst–Lotka–Volterra (VLV) model of ideological struggle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4970-4980.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:21:p:4970-4980
    DOI: 10.1016/j.physa.2010.06.032
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437110005613
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2010.06.032?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.

    References listed on IDEAS

    as
    1. Caram, L.F. & Caiafa, C.F. & Proto, A.N. & Ausloos, M., 2010. "Dynamic peer-to-peer competition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(13), pages 2628-2636.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Vitanov, Nikolay K. & Vitanov, Kaloyan N., 2018. "Discrete-time model for a motion of substance in a channel of a network with application to channels of human migration," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 635-650.
    2. McCartney, Mark & Glass, David H., 2015. "The dynamics of coupled logistic social groups," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 427(C), pages 141-154.
    3. Vitanov, Nikolay K. & Vitanov, Kaloyan N., 2016. "Box model of migration channels," Mathematical Social Sciences, Elsevier, vol. 80(C), pages 108-114.
    4. Ausloos, Marcel, 2012. "Econophysics of a religious cult: The Antoinists in Belgium [1920–2000]," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(11), pages 3190-3197.
    5. McCartney, Mark & Glass, David H., 2015. "A three-state dynamical model for religious affiliation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 145-152.
    6. Mir, T.A., 2012. "The law of the leading digits and the world religions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(3), pages 792-798.
    7. Andreev, Vsevolod V., 2015. "Will there be a revolution in Russia in 2017?," Journal of Policy Modeling, Elsevier, vol. 37(5), pages 782-788.
    8. Jeffs, Rebecca A. & Hayward, John & Roach, Paul A. & Wyburn, John, 2016. "Activist model of political party growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 442(C), pages 359-372.
    9. Vitanov, Nikolay K. & Vitanov, Kaloyan N., 2018. "On the motion of substance in a channel of a network and human migration," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1277-1294.
    10. Vitanov, Nikolay K. & Borisov, Roumen & Vitanov, Kaloyan N., 2021. "On the motion of substance in a channel and growth of random networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 581(C).
    11. Stefani, Silvana & Ausloos, Marcel & González-Concepción, Concepción & Sonubi, Adeyemi & Gil-Fariña, Ma Candelaria & Pestano-Gabino, Celina & Moretto, Enrico, 2021. "Competing or collaborating, with no symmetrical behaviour: Leadership opportunities and winning strategies under stability," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 187(C), pages 489-504.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zhao, Jiuhua & Liu, Qipeng & Wang, Lin & Wang, Xiaofan, 2017. "Competitive seeds-selection in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 240-248.
    2. Marcel Ausloos & Herbert Dawid & Ugo Merlone, 2015. "Spatial Interactions in Agent-Based Modeling," Dynamic Modeling and Econometrics in Economics and Finance, in: Pasquale Commendatore & Saime Kayam & Ingrid Kubin (ed.), Complexity and Geographical Economics, edition 127, pages 353-377, Springer.
    3. Ismo T. Koponen & Maija Nousiainen, 2018. "An Agent-Based Model of Discourse Pattern Formation in Small Groups of Competing and Cooperating Members," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 21(2), pages 1-1.
    4. Marcel Ausloos, 2013. "Econophysics: Comments on a Few Applications, Successes, Methods and Models," IIM Kozhikode Society & Management Review, , vol. 2(2), pages 101-115, July.
    5. Manahov, Viktor & Hudson, Robert, 2013. "Herd behaviour experimental testing in laboratory artificial stock market settings. Behavioural foundations of stylised facts of financial returns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(19), pages 4351-4372.
    6. Stefani, Silvana & Ausloos, Marcel & González-Concepción, Concepción & Sonubi, Adeyemi & Gil-Fariña, Ma Candelaria & Pestano-Gabino, Celina & Moretto, Enrico, 2021. "Competing or collaborating, with no symmetrical behaviour: Leadership opportunities and winning strategies under stability," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 187(C), pages 489-504.

    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:eee:phsmap:v:389:y:2010:i:21:p:4970-4980. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.