We advocate the use of the concept of a vague graph which provides powerful tools and techniques for the modeling of many processes and systems, notably namely dynamic process in physical, biological and social systems. By making it possible to use the upper and lower degree of membership of an element, the vague graph can provide an additional expressive power for the representation and modeling under uncertain and imprecise information. The existence of an upper and lower degree of membership may in many cases be more natural and convenient for the human being than the degree of membership and non-membership as in the intuitionistic graphs which can be considered equivalent, up to the isomorphism, to the vague graphs. An application of the new concept of domination in the vague graphs to an analysis of some nonmedical aspects related to the Covid-19 vaccination is shown.
