Selected article for: "exponential growth and power law"

Author: Mahendra K. Verma; Ali Asad; Soumyadeep Chatterjee
Title: COVID-19 epidemic: Power law spread and flattening of the curve
  • Document date: 2020_4_6
  • ID: o0e6saez_17
    Snippet: In Fig. 1 , in the exponential regimes, I(t) andİ(t) curves run almost parallel to each other becauseİ ≈ βI. In contrast, in the power law regimes,İ(t) deviates from being parallel to I(t), consistent with the suppression iṅ I(t) mentioned in the previous paragraph. For Japan,İ exhibits a marginal deviation from the formİ ≈ βI(t); this is due to the fact that n = 4, which is large. Fig. 2 (color online) For COVID-19 epidemic: Schemat.....
    Document: In Fig. 1 , in the exponential regimes, I(t) andİ(t) curves run almost parallel to each other becauseİ ≈ βI. In contrast, in the power law regimes,İ(t) deviates from being parallel to I(t), consistent with the suppression iṅ I(t) mentioned in the previous paragraph. For Japan,İ exhibits a marginal deviation from the formİ ≈ βI(t); this is due to the fact that n = 4, which is large. Fig. 2 (color online) For COVID-19 epidemic: Schematic plots for I(t) and its derivativeİ(t) vs. t. S1, S2, S3, S4 represent the four stages of the epidemic: exponential growth in count (exp(βt)), power law growth (t n ), linear growth (t), and flat.

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