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A competing infection model for the spread of different viewpoints of a divisive idea

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  • Benjamin R. Chisholm
  • Peter A. Muller
  • Amanda J. Horn
  • Zachary S. Ellis

Abstract

We develop a non-network, deterministic, competing infections model for the spread of two competing viewpoints of a divisive idea that incorporates external factors in addition to interpersonal interactions. We consider divisive ideas to have polarizing support, i.e. there are no “shades of grey.” The proposed model for the spread of the competing support and skepticism of such an idea within a population is based on both epidemiological and competing species models. The model is then analyzed qualitatively and quantitatively in a case study of the 2016 Republican primary polls. Parameter fitting to this data shows the proposed model is plausible for the spread of viewpoints of a divisive idea.

Suggested Citation

  • Benjamin R. Chisholm & Peter A. Muller & Amanda J. Horn & Zachary S. Ellis, 2019. "A competing infection model for the spread of different viewpoints of a divisive idea," The Journal of Mathematical Sociology, Taylor & Francis Journals, vol. 43(3), pages 147-163, July.
    • Handle: RePEc:taf:gmasxx:v:43:y:2019:i:3:p:147-163
    DOI: 10.1080/0022250X.2018.1555828
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    Cited by:

    1. Cano Macias, Ricardo & Ruiz Vera, Jorge Mauricio, 2024. "Dynamics of opinion polarization in a population," Mathematical Social Sciences, Elsevier, vol. 128(C), pages 31-40.

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