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A second-order phase transition in the complete graph stochastic epidemic model

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  • Acedo, L.

Abstract

A stochastic model for epidemic spread in a set of individuals placed upon the sites of a complete graph of relations is investigated. The model is defined by three parameters: the number of individuals or sites, N, the probability that an infected site transmits the disease to a susceptible site, α, and the probability of recovery of infected sites, β, both referred to the unit of time.

Suggested Citation

  • Acedo, L., 2006. "A second-order phase transition in the complete graph stochastic epidemic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(2), pages 613-624.
    • Handle: RePEc:eee:phsmap:v:370:y:2006:i:2:p:613-624
    DOI: 10.1016/j.physa.2006.03.064
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    Cited by:

    1. Lumi, Neeme & Laas, Katrin & Mankin, Romi, 2015. "Rising relative fluctuation as a warning indicator of discontinuous transitions in symbiotic metapopulations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 437(C), pages 109-118.
    2. Acedo, L. & Lamprianidou, E. & Moraño, J.-A. & Villanueva-Oller, J. & Villanueva, R.-J., 2015. "Firing patterns in a random network cellular automata model of the brain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 435(C), pages 111-119.
    3. González-Parra, Gilberto & Acedo, L. & Villanueva Micó, Rafael-J. & Arenas, Abraham J., 2010. "Modeling the social obesity epidemic with stochastic networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(17), pages 3692-3701.

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