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This research aims to analyze the spread of COVID-19 in Bulgaria through scaling theory.

January 14, 2026Entropy0 citationsOpen Access

Remarks on a Scaling Theory of Spread of COVID-19 with an Application to the Case of Bulgaria

SKSvetlan KartalovBulgarian Academy of Sciences NVNikolay K. Vitanov

Key Points

This research aims to analyze the spread of COVID-19 in Bulgaria through scaling theory.
Applied scaling theory to COVID-19 data in Bulgaria
Analyzed the first large wave of COVID-19 in 2020
Studied the mathematical relationships between infection numbers and scaling properties.
Identified a power-law dependence in the spread of COVID-19
Observed a singular linear collapse of real data across regions
Validated the mathematical theory using regional infection data.

Abstract

We present several remarks on the spread of the COVID-19 epidemics in Bulgaria. The remarks are based on the hypothesis that the spread of the infection exhibits scaling properties similar to the scaling in urban dynamics. The corresponding mathematical theory leads us to a relationship for a power-law dependence of the number of infected in a certain region on the corresponding homochrony number. We prove the correctness of the mathematical theory on the basis of data for several Bulgarian regions for the first large COVID-19 wave in 2020. We observe a collapse of the real data along a single straight line.

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