Temporal and spatial evolution of power-law in the numbers of COVID-19 pandemic
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This work systematically conducts a data analysis based on the numbers of both cumulative and daily confirmed COVID-19 cases and deaths in a time span through March 2020 to March 2022 for over 200 countries around the world. Such research feature aims to reveal the temporal and spatial evolution of power-law and scaling behaviour observed in COVID-19 pandemic, and obtains some interesting results as follows. (1) The country-level distributions of the numbers for the 4 metrics across 2-year period exhibit similar power-law behaviour. At the early course of the COVID-19 spreading, the distributions in whole range follow power-law. However, the power-law is narrowing to tail at the subsequent course. (2) The country-level distributions of the normalized numbers for each metric show a temporal scaling behaviour of power-law in 2-year period. The indexes of power-law for such 4 metrics are consistent with each other. The observation of power-law and scaling behaviour suggests underlying intrinsic dynamics of a virus spreading process in the human interconnected society, and thus is important for understanding and mathematically modeling the COVID-19 pandemic.
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