Please use this identifier to cite or link to this item: https://biore.bio.bg.ac.rs/handle/123456789/6756
Title: An analytical framework for understanding infection progression under social mitigation measures
Authors: Ilic, Bojana
Salom, Igor
Đorđević, Marko 
Djordjevic, Magdalena
Keywords: Analytical solutions;Epidemics peak;Infection progression;Infection tipping points;Population dynamics;SEIR model
Issue Date: 1-Jan-2023
Rank: M21a
Publisher: Springer-Verlag Dordrecht
Journal: Nonlinear Dynamics
Abstract: 
While there has been much computational work on the effect of intervention measures, such as vaccination or quarantine, the influence of social distancing on the epidemics’ outbursts is not well understood. We present a realistic, analytically solvable, framework for COVID-19 dynamics in the presence of social distancing measures. The model is a generalization of the compartmental SEIR model that accounts for the effects of these measures. We derive a closed-form mathematical expressions for the time dependence of epidemiological observables, in particular, the detected cases and fatalities. These analytical solutions indicate simple quantitative relations between the model variables and epidemiological observables, which give insights into cause-effect connections that underlie the outburst dynamics but are obscured in more standard (numerical) approaches. While the obtained results and conclusions are based on the study of the COVID-19 pandemic, the presented analysis has general applicability to infection outbursts. Our findings are particularly important in the emergence of new pandemics when effective pharmaceutical treatments are unavailable, and one must rely on well-timed and appropriately chosen social mitigation measures.
URI: https://biore.bio.bg.ac.rs/handle/123456789/6756
ISSN: 0924090X
DOI: 10.1007/s11071-023-08692-4
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