The Maki-Thompson rumor model on a k-regular ring

Authors

  • Ana C. Diaz Bacca
  • Pablo M. Rodriguez
  • Catalina M. Rúa Alvarez

Abstract

We consider the Maki-Thompson rumor model on a k-regular ring, see Figure 1. The basic version of the model is defined by assuming that a population represented by a graph is subdivided into three classes of individuals: ignorants, spreaders and stiflers.  [...]

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Author Biographies

Ana C. Diaz Bacca

Universidade Federal de Pernambuco, Recife, PE

Pablo M. Rodriguez

Universidade Federal de Pernambuco, Recife, PE

Catalina M. Rúa Alvarez

Universidad de Nariño, Pasto, Colombia

References

Elena Agliari et al. “Phase transition for the Maki–Thompson rumour model on a small-world network”. In: Journal of Statistical Physics 169.4 (2017), pp. 846–875. doi: 10.1007/ s10955-017-1892-x.

Daryl J Daley and David G Kendall. “Epidemics and rumours”. In: Nature 204.4963 (1964), pp. 1118–1118. doi: 10.1038/2041118a0.

Daryl J Daley and David G Kendall. “Stochastic rumours”. In: IMA Journal of Applied Mathematics 1.1 (1965), pp. 42–55. doi: 10.1093/imamat/1.1.42.

Valdivino V Junior, Pablo M Rodriguez, and Adalto Speroto. “Stochastic rumors on random trees”. In: Journal of Statistical Mechanics: Theory and Experiment 2021.12 (2021), p. 123403. doi: 10.1088/1742-5468/ac3b45.

Valdivino V Junior, Pablo M Rodriguez, and Adalto Speroto. “The Maki-Thompson rumor model on infinite Cayley trees”. In: Journal of Statistical Physics 181.4 (2020), pp. 1204– 1217. doi: 10.1007/s10955-020-02623-y.

Daniel P Maki and Maynard Thompson. Mathematical models and applications: with emphasis on the social life, and management sciences. Tech. rep. 1973.

Alejandra Rada et al. “The Role of Multiple Repetitions on the Size of a Rumor”. In: SIAM Journal on Applied Dynamical Systems 20.3 (2021), pp. 1209–1231. doi: 10.1137/ 20M1345657.

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Published

2022-12-08

Issue

Section

Resumos