COVID vaccination

Vaccination offers the best defense against COVID infection, hospitalization, or death. Effectiveness ranging from about 40% to 90% has been shown in various clinical studies depending upon the predominant variants of the virus, specific vaccines, and selected endpoints. Has vaccination “substantially reduced the burden of disease?”
On January 2, 2022, the Israeli government began the Pfizer vaccine's 4th dose or 2nd booster. The data from Israel's vaccination program is the basis of the decision by the FDA and CDC to recommend a second booster shoot for selected populations. What should you do?
We're learning more every day about the SARS-CoV-2 virus, but it will likely present surprises. The best strategy is still to prevent new infections.
The CDC has reported that COVID-19 vaccines are working well, but reduced protection against mild and moderate disease over time is apparent. It is appropriate to examine trends now that our primary vaccination program has been in place for a year. While recently vaccinated members of a population have much lower rates of infection, some suffered breakthrough infections that may be associated with reduced vaccine effectiveness.
We continue to be awash with COVID stories. But let us cut to the chase. How many annual COVID-19 deaths are the nation prepared to tolerate on a routine basis? Substantial public health efforts have been devoted to reducing these other causes of death; why should COVID be different? Reducing traffic accident deaths by mandating vehicle seat belts comes to mind, for which some 9000 lives were saved each year. How prepared are we to similarly enforce a comprehensive COVID-19 vaccination program?
While COVID-19 vaccinations are increasing (however slowly), infections are increasing more rapidly. Both provide a degree of immunity from further infection. We have previously investigated daily rates of change in detail. Here we consider the cumulative rates of infection and the implications for the future of the pandemic.
Those are the words of Pliny the Elder (except for the COVID part). Coincidentally, he died while trying to save friends during the eruption of Mt. Vesuvius. As it turns out, today's home is also where COVID-19 comes to visit, brought in by household members.