Keywords
Gompertz mixture
Poisson process
Cox process
COVID-19
Mezcla de Gompertz
Proceso de Poisson
Proceso de Cox
How to Cite
Abstract
Different countries used the growth Gompertz function at the beginning of the COVID-19 pandemic to model the number of cumulative infected cases since it provides reasonable results. Such a model allows only one mode, but the pandemic evolution has exhibited a multimodal behavior due to the different waves and variants of the COVID-19 virus. Thus, Gompertz’s classical growth model is not well suited to describe a long pandemic with different virus variants. This work presents generalizations of the Gompertz model that can reproduce a multimodal behavior to model the dynamics of infected cases. The models are applied to COVID-19 data from Nuevo Leon, Mexico.
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