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Propagation of radical ideas in societies with memory: Competition between radical strength and social cohesion

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  • Vallejo, Andrés
  • Marti, Arturo C.

Abstract

Based on a dynamical model employing fractional derivatives we discuss the evolution of radical groups in a society with memory in terms of the active proselytism of radical groups and the level of cohesion in social networks. We find the conditions that determine that the radical group either disappears or, on the contrary, achieves a permanent significant expression. We also discuss the possible intervention strategies on the susceptible population and show the conditions that lead to the disappearance of radical groups. Regarding the application of this policy, we find that the higher the level of memory, the maximum proportion of radicals decreases, but those groups manage to maintain their presence in society during a larger period of time.

Suggested Citation

  • Vallejo, Andrés & Marti, Arturo C., 2021. "Propagation of radical ideas in societies with memory: Competition between radical strength and social cohesion," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    • Handle: RePEc:eee:chsofr:v:151:y:2021:i:c:s0960077921006470
    DOI: 10.1016/j.chaos.2021.111293
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    References listed on IDEAS

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    1. Nizamani, Sarwat & Memon, Nasrullah & Galam, Serge, 2014. "From public outrage to the burst of public violence: An epidemic-like model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 620-630.
    2. Bettencourt, Luís M.A. & Cintrón-Arias, Ariel & Kaiser, David I. & Castillo-Chávez, Carlos, 2006. "The power of a good idea: Quantitative modeling of the spread of ideas from epidemiological models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 364(C), pages 513-536.
    3. Daniel M. Abrams & Steven H. Strogatz, 2003. "Modelling the dynamics of language death," Nature, Nature, vol. 424(6951), pages 900-900, August.
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