[Mathematical models for COVID-19 infection estimation: essential considerations and projections in Colombia].

Objective: To estimate the COVID-19 infection behavior in Colombia using mathematical models.

Methods: Two mathematical models were constructed to estimate imported confirmed cases and related confirmed cases of COVID-19 infection in Colombia, respectively. The phenomenology of imported confirmed cases is modeled with sigmoidal function, while related confirmed cases are modeled using a combination of exponential functions and polynomial algebraic functions.