Challenges in the Mathematical Modelling of CoViD-19 Dynamics

The use of Mathematical Modelling in describing the dynamics of the spread of COVID-19 very rapidly presented several greater difficulties due to the variations of the transmissibility of the successive variants and the introduction of sometimes severe social distancing measures as well as vaccination programs. On the other hand, vaccination and elementary sanitary measures have also been present in the efforts to control and diminish the effects of the pandemic in general, making for even more difficulties…
Different models with the consideration of different compartmentalizations have been able do describe many aspects fo the Covid-19 dynamics.
In order to model enhanced transmissibility due to the successive variants, coupled with vaccination efforts by some governments, different aspects of the pandemic have had to be considered. The original compartmental models had to evolve in order to be able to portray these aforementioned variations which have become an integral part of Covid-19 dynamics.
In this presentation, the successive use of models is presented, as well as critical evaluations of the results of numerical-computational simulations of scenarios and corresponding comparisons, with the use of coherent estimation of parameters.
These results will be presented and discussed in the presentation.