标题： 未接种疫苗的人是否在呼吸道大流行中对已接种疫苗的人造成不成比例的伤害？ 显示英文标题

标题： Do the unvaccinated disproportionately harm the vaccinated in a respiratory pandemic?

摘要： 一个参数$\psi$最近被定义并引入流行病学建模的科学文献中，并且正在被接受。该参数被用来论证在宣布的新冠疫情期间，接种疫苗的人由于与未接种疫苗的人接触而承担了不成比例的感染风险。相反的已发表结果表明，在一般情况下，在呼吸道大流行期间，接种疫苗的人从未接种疫苗的人那里几乎从不存在不成比例的风险。在这里，我们表明新引入的疫苗学参数$\psi$定义错误，且不成比例风险的结论无效。具体来说，我们证明了原始作者 Fisman 等人（2022, 2024）错误地定义和应用了参数$\psi$。他们的应用意味着所述风险随着与未接种疫苗者的隔离程度增加（直到完全隔离）而增加，随着接种覆盖率的增加（直到完全接种）而增加，并随着疫苗效力的增加（直到完美疫苗效力）而增加，这是不可能的。错误参数$\psi$的使用有可能鼓励不必要的激进公共卫生政策和干预措施。 显示英文摘要

摘要： A parameter $\psi$ was recently defined and introduced into the epidemiological modelling scientific literature, and is being accepted. The said parameter was used to argue that there was a disproportionate risk of infection incurred by vaccinated persons due to contacts with unvaccinated persons during the declared COVID-19 pandemic. Opposing published results show that, in general, there is virtually never a disproportionate risk to the vaccinated from the unvaccinated during a respiratory pandemic. Here, we show that the newly introduced vaccinology parameter $\psi$ is incorrectly defined and that the conclusions of disproportionate risk are not valid. Specifically, we prove that the originating authors Fisman et al. (2022, 2024) incorrectly defined and applied the parameter $\psi$. Their application would imply that the said risk increases with increasing segregation from the unvaccinated (up to complete segregation), increases with increasing vaccination coverage (up to complete coverage) and increases with increasing vaccine efficacy (up to perfect vaccine efficacy), which is impossible. Use of the erroneous parameter $\psi$ has the potential to encourage unnecessarily aggressive public health policies and interventions.