We explore the inclusion of vaccination in compartmental epidemiological models concerning the delta and omicron variants of the SARS-CoV-2 virus that caused the COVID-19 pandemic. We expand on our earlier compartmental-model work by incorporating vaccinated populations. We present two classes of models that differ depending on the immunological properties of the variant. The first one is for the delta variant, where we do not follow the dynamics of the vaccinated individuals since infections of vaccinated individuals were rare. The second one for the far more contagious omicron variant incorporates the evolution of the infections within the vaccinated cohort. We explore comparisons with available data involving two possible classes of counts, fatalities and hospitalizations. We present our results for two regions, Andalusia and Switzerland (including the Principality of Liechtenstein), where the necessary data are available. In the majority of the considered cases, the models are found to yield good agreement with the data and have a reasonable predictive capability beyond their training window, rendering them potentially useful tools for the interpretation of the COVID-19 and further pandemic waves, and for the design of intervention strategies during these waves.

我们探索将疫苗接种纳入有关引起 COVID-19 大流行的 SARS-CoV-2 病毒 delta 和 omicron 变体的区室流行病学模型中。我们通过纳入接种疫苗的人群来扩展我们早期的区室模型工作。我们提出了两类模型，它们的不同取决于变体的免疫学特性。第一个是 delta 变体，我们不跟踪接种疫苗个体的动态，因为接种疫苗个体的感染很少见。第二个是传染性更强的 omicron 变体，它包含了接种人群中感染的演变。我们探讨了与涉及两类可能的计数、死亡人数和住院人数的现有数据的比较。我们展示了安达卢西亚和瑞士（包括列支敦士登公国）这两个地区的结果，这两个地区有必要的数据。在大多数考虑的案例中，我们发现这些模型与数据具有良好的一致性，并且在训练窗口之外具有合理的预测能力，这使得它们成为解释 COVID-19 和进一步的大流行浪潮的潜在有用工具，并为在这些浪潮中干预策略的设计。