{'fraction_non_alphanumeric': 0.019053472649047325, 'fraction_numerical': 0.006760909649661954, 'mean_word_length': 5.538152610441767, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
New and simple mathematical description of epidemics including consecutive waves

The Bateman linear differential equations describing in time nuclear levels interconnected by transitions (in general, each with its own rate) are adapted to the epidemiology case where only two infection and recovery rates are used. Time‐dependent functions describing successive generations of infected people are thus derived. Closed mathematical expressions allow an easy calculation/prediction of the properties of these generations and therefore of the whole epidemics. The main limitation consists in reaching the point when the number of susceptible to the infection people substantially decreases. As testing ground, reasonable descriptions of the newly registered COVID‐19 cases per day is achieved for Europe and the United States till December 2020, including several so‐called Pandemic waves. The approach of the present work, by using transmission from one generation of infected people to a new generation allows a much more detailed tracking of the Pandemic spread than the approaches used so far. For example, the most widely used Susceptible Infectious Recovered (SIR) models (and their variants) use instead transitions from one big compartment of susceptible people to another new one of infected people followed by recovery leading to a third compartment. Clear correlations are found between features of the Pandemic process and the emergence of new SARS‐CoV‐2 variants, with some of them (especially the α$\alpha$ variant) immediately influencing the spread of the infection disease in the Pandemic wave of Autumn of 2020.