A Theoretical Analysis of Mass Testing Strategies to Control Epidemics.

Autor: Sabbatino M; Department of Mathematics, University of Trento, Via Sommarive 14, Povo, 38123, Trento, Italy., De Reggi S; CDLab - Computational Dynamics Laboratory, Department of Mathematics, Computer Science and Physics, University of Udine, Via delle Scienze 206, 33100, Udine, Italy., Pugliese A; Department of Mathematics, University of Trento, Via Sommarive 14, Povo, 38123, Trento, Italy. andrea.pugliese@unitn.it.
Jazyk: angličtina
Zdroj: Bulletin of mathematical biology [Bull Math Biol] 2025 Jan 03; Vol. 87 (2), pp. 22. Date of Electronic Publication: 2025 Jan 03.
DOI: 10.1007/s11538-024-01387-w
Abstrakt: One of the strategies used in some countries to contain the COVID-19 epidemic has been the test-and-isolate policy, generally coupled with contact tracing. Such strategies have been examined in several simulation models, but a theoretical analysis of their effectiveness in simple epidemic model is, to our knowledge, missing. In this paper, we present four epidemic models of either SIR or SEIR type, in which it is assumed that at fixed times the whole population (or a part of the population) is tested and, if positive, isolated. We find the conditions for an epidemic to go extinct under such a strategy; for these types of models we provide an appropriate definition of R 0 , that can be computed either analytically or numerically. Finally, we show numerically that the final-size relation of SIR models approximately holds for the four models, over a large parameter range.
(© 2024. The Author(s), under exclusive licence to the Society for Mathematical Biology.)
Databáze: MEDLINE
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