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      Likelihood-Free Dynamical Survival Analysis applied to the COVID-19 epidemic in Ohio

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          Abstract

          <abstract><p>The Dynamical Survival Analysis (DSA) is a framework for modeling epidemics based on mean field dynamics applied to individual (agent) level history of infection and recovery. Recently, the Dynamical Survival Analysis (DSA) method has been shown to be an effective tool in analyzing complex non-Markovian epidemic processes that are otherwise difficult to handle using standard methods. One of the advantages of Dynamical Survival Analysis (DSA) is its representation of typical epidemic data in a simple although not explicit form that involves solutions of certain differential equations. In this work we describe how a complex non-Markovian Dynamical Survival Analysis (DSA) model may be applied to a specific data set with the help of appropriate numerical and statistical schemes. The ideas are illustrated with a data example of the COVID-19 epidemic in Ohio.</p></abstract>

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          Most cited references29

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          Age-specific mortality and immunity patterns of SARS-CoV-2

          Estimating the size of the coronavirus disease 2019 (COVID-19) pandemic and the infection severity of severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) is made challenging by inconsistencies in the available data. The number of deaths associated with COVID-19 is often used as a key indicator for the size of the epidemic, but the observed number of deaths represents only a minority of all infections1,2. In addition, the heterogeneous burdens in nursing homes and the variable reporting of deaths of older individuals can hinder direct comparisons of mortality rates and the underlying levels of transmission across countries3. Here we use age-specific COVID-19-associated death data from 45 countries and the results of 22 seroprevalence studies to investigate the consistency of infection and fatality patterns across multiple countries. We find that the age distribution of deaths in younger age groups (less than 65 years of age) is very consistent across different settings and demonstrate how these data can provide robust estimates of the share of the population that has been infected. We estimate that the infection fatality ratio is lowest among 5-9-year-old children, with a log-linear increase by age among individuals older than 30 years. Population age structures and heterogeneous burdens in nursing homes explain some but not all of the heterogeneity between countries in infection fatality ratios. Among the 45 countries included in our analysis, we estimate that approximately 5% of these populations had been infected by 1 September 2020, and that much higher transmission rates have probably occurred in a number of Latin American countries. This simple modelling framework can help countries to assess the progression of the pandemic and can be applied in any scenario for which reliable age-specific death data are available.
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            Julia: A Fresh Approach to Numerical Computing

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              Wrong but Useful — What Covid-19 Epidemiologic Models Can and Cannot Tell Us

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                Author and article information

                Journal
                Mathematical Biosciences and Engineering
                MBE
                American Institute of Mathematical Sciences (AIMS)
                1551-0018
                2022
                2022
                : 20
                : 2
                : 4103-4127
                Affiliations
                [1 ]Mathematical Biosciences Institute and the Division of Biostatistics, College of Public Health, The Ohio State University, Cunz Hall, 1841 Neil Avenue, Columbus, OH 43210, USA
                [2 ]Department of Mathematics, University of Dayton, 300 College Park Dayton, Ohio 45469, USA
                [3 ]School of Mathematical Sciences, The University of Nottingham, University Park, Nottingham NG7 2RD, UK
                Article
                10.3934/mbe.2023192
                36899619
                ff98223a-22e6-4f8a-94fc-b15a52055f5d
                © 2022
                History

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