In terms of human viruses, governments have only eradicated smallpox and almost polio. We will not be able to eradicate SARS-CoV-2 the same way. Unlike smallpox and polio there are animal hosts (most other mammal species can carry and transmit the virus) and the vaccines don't reliably prevent infection. So I encourage everyone to get vaccinated to protect themselves, but we need to face reality that the virus will never be eradicated.