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A mathematical model reveals the influence of population heterogeneity on herd immunity to SARS-CoV-2

Science. 2020 Aug 14;369(6505):846-849. doi: 10.1126/science.abc6810. Epub 2020 Jun 23.

Abstract

Despite various levels of preventive measures, in 2020, many countries have suffered severely from the coronavirus disease 2019 (COVID-19) pandemic caused by the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) virus. Using a model, we show that population heterogeneity can affect disease-induced immunity considerably because the proportion of infected individuals in groups with the highest contact rates is greater than that in groups with low contact rates. We estimate that if R 0 = 2.5 in an age-structured community with mixing rates fitted to social activity, then the disease-induced herd immunity level can be ~43%, which is substantially less than the classical herd immunity level of 60% obtained through homogeneous immunization of the population. Our estimates should be interpreted as an illustration of how population heterogeneity affects herd immunity rather than as an exact value or even a best estimate.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Age Factors
  • Basic Reproduction Number
  • Betacoronavirus*
  • COVID-19
  • Coronavirus Infections / epidemiology
  • Coronavirus Infections / immunology*
  • Coronavirus Infections / prevention & control
  • Coronavirus Infections / transmission
  • Demography
  • Humans
  • Immunity, Herd*
  • Models, Theoretical*
  • Pandemics / prevention & control
  • Pneumonia, Viral / epidemiology
  • Pneumonia, Viral / immunology*
  • Pneumonia, Viral / prevention & control
  • Pneumonia, Viral / transmission
  • SARS-CoV-2
  • Social Behavior
  • Social Participation