2021/04/16 by Fernando Saldaña, Jorge X. Velasco‐Hernández, Jorge X Velasco-Hernández · 9 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #COVID-19 epidemiological studies #Computer science #Coronavirus disease 2019 (COVID-19) #Data science #Disease #Economics #Epidemiology #Herd immunity #Infectious disease (medical specialty) #Management science #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematical modelling of infectious disease #Medicine #Pandemic #Public health #SARS-CoV-2 and COVID-19 Research #Vaccination #Virology #msc:92Bxx #q-bio.PE
paper · pdf · doi:10.1007/s40324-021-00260-3
published in SeMA Journal 79(2), 225-251 (Springer Science+Business Media) · 42 pages, 4 figures
arxiv created 2021/04/16 · openalex publication_date 2021/07/28 · arxiv updated 2022/01/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Since the start of the still ongoing COVID-19 pandemic, there have been many modeling efforts to assess several issues of importance to public health. In this work, we review the theory behind some important mathematical models that have been used to answer questions raised by the development of the pandemic. We start revisiting the basic properties of simple Kermack-McKendrick type models. Then, we discuss extensions of such models and important epidemiological quantities applied to investigate the role of heterogeneity in disease transmission e.g. mixing functions and superspreading events, the impact of non-pharmaceutical interventions in the control of the pandemic, vaccine deployment, herd-immunity, viral evolution and the possibility of vaccine escape. From the perspective of mathematical epidemiology, we highlight the important properties, findings, and, of course, deficiencies, that all these models have.