Epidemiological dynamics with clinically-derived infectiousness and incubation time courses

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Abstract

To better predict the dynamics of epidemics such as COVID-19, it is important not only to investigate the network of local and long-range contagious contacts but also to understand the temporal dynamics of infectiousness and detectable symptoms. Here, we present a model of infection spread in a well-mixed group of individuals, which usually corresponds to a node in large-scale epidemiological networks. The model uses delay equations that take into account the duration of infection and are based on experimentally derived time courses of viral load and shedding, as well as the detectability of symptoms. We show that due to an early onset of infectiousness, which is reported to be synchronous or even precede the onset of detectable symptoms, the tracing and immediate testing of all who came in contact with the detected infected individual reduce the spread of epidemics, hospital load, and fatality rate. We also investigate how the strictness and promptness of the isolation of infected individuals affect the outcome of epidemics. We hope that these more precise node dynamics could be incorporated into complex large-scale epidemiological models to improve the accuracy and credibility of predictions.
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Abstract To better predict the dynamics of epidemics such as COVID-19, it is important not only to investigate the network of local and long-range contagious contacts but also to understand the temporal dynamics of infectiousness and detectable symptoms. Here, we present a model of infection spread in a well-mixed group of individuals, which usually corresponds to a node in large-scale epidemiological networks. The model uses delay equations that take into account the duration of infection and are based on experimentally derived time courses of viral load and shedding, as well as the detectability of symptoms. We show that due to an early onset of infectiousness, which is reported to be synchronous or even precede the onset of detectable symptoms, the tracing and immediate testing of all who came in contact with the detected infected individual reduce the spread of epidemics, hospital load, and fatality rate. We also investigate how the strictness and promptness of the isolation of infected individuals affect the outcome of epidemics. We hope that these more precise node dynamics could be incorporated into complex large-scale epidemiological models to improve the accuracy and credibility of predictions. Competing Interest Statement The authors have declared no competing interest. Funding Statement This study did not receive any funding Author Declarations I confirm all relevant ethical guidelines have been followed, and any necessary IRB and/or ethics committee approvals have been obtained. Yes The details of the IRB/oversight body that provided approval or exemption for the research described are given below: We used infectivity profiles and incubation time that were cited in the introduction of the manuscript. I confirm that all necessary patient/participant consent has been obtained and the appropriate institutional forms have been archived, and that any patient/participant/sample identifiers included were not known to anyone (e.g., hospital staff, patients or participants themselves) outside the research group so cannot be used to identify individuals. Yes I understand that all clinical trials and any other prospective interventional studies must be registered with an ICMJE-approved registry, such as ClinicalTrials.gov. I confirm that any such study reported in the manuscript has been registered and the trial registration ID is provided (note: if posting a prospective study registered retrospectively, please provide a statement in the trial ID field explaining why the study was not registered in advance). Yes I have followed all appropriate research reporting guidelines, such as any relevant EQUATOR Network research reporting checklist(s) and other pertinent material, if applicable. Yes Footnotes miguel.cajahuanca{at}usach.cl, jaros007{at}gmail.com Data Availability All data produced in the present work are contained in the manuscript

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last seen: 2026-05-20T01:45:00.602351+00:00