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Self-organized critical phenomenon as a q-exponential decay — Avalanche epidemiology of dengue

Author

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  • Saba, H.
  • Miranda, J.G.V.
  • Moret, M.A.

Abstract

We studied the evolution of dengue disease in the state of Bahia. The number of epidemiological dengue cases for each city follows a Self-Organized Criticality behavior (SOC). However, the analysis of the number of cases in Bahia exhibits a q-exponential distribution. To understand this different behavior, we analyzed the distribution of the power law of SOC (γ) to all cities of Bahia. Our findings show that the distribution of γ exhibits a dependence between the exponents, which may be because of migration between cities, causing the emergence of outbreaks in different cities in a correlated and asynchronous time series.

Suggested Citation

  • Saba, H. & Miranda, J.G.V. & Moret, M.A., 2014. "Self-organized critical phenomenon as a q-exponential decay — Avalanche epidemiology of dengue," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 413(C), pages 205-211.
    • Handle: RePEc:eee:phsmap:v:413:y:2014:i:c:p:205-211
    DOI: 10.1016/j.physa.2014.06.045
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    Cited by:

    1. Filho, A.S. Nascimento & Araújo, M.L.V. & Miranda, J.G.V. & Murari, T.B. & Saba, H. & Moret, M.A., 2018. "Self-affinity and self-organized criticality applied to the relationship between the economic arrangements and the dengue fever spread in Bahia," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 619-628.
    2. Wang, Liping & Zhao, Hongyong, 2019. "Dynamics analysis of a Zika–dengue co-infection model with dengue vaccine and antibody-dependent enhancement," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 522(C), pages 248-273.

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