Abstract
This chapter presents the COVID-19 pandemic as a complex problem, which has
resulted in multidisciplinary and interdisciplinary research of unprecedented magnitude at the
international level. In particular, the important role that mathematical and computational modeling
has played throughout the different phases of the evolution of the pandemic is analyzed. Some of
the most notorious achievements and difficulties in obtaining results with the use of mathematical models and computational simulations are discussed, and some proposals are presented about
relevant and still pending tasks.
Keywords: COVID-19, epidemiological model, sensitivity analysis, bifurcations, parameter identification, controllability, stabilization.
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