An encompassing global pandemic dynamical model is presented that starts from the classical SIR basic model, and goes further in a follow-up dynamics. The two integrated subsystems allows one to analyze the effects of variations in its parameters. The case of emerging new strains of the SARS-CoV-2 virus is studied in detail, through the application of the proposed model, by simulating its effects via an increase in the contagion parameter β - β. This will allow the study of the first and the second, third, etc., wave of COVID-19, and the elaboration of plausible scenarios to help in decision making processes. The simulations show a good degree of resemblance, of likeness, to the observed phenomenon. All the state variables of the follow-up dynamics are made explicit.
COVID-19 Pandemic Global Dynamics, including Delayed Infections and the Emergence of New Strains