Systematic evaluation of the population-level effects of alternative treatment strategies on the basic reproduction number

Type Article
Date 2019-02
Language English
Author(s) Gromov DmitryORCID1, Bulla Ingo2, 3, Romero-Severson Ethan O.4
Affiliation(s) 1 : St Petersburg State Univ, Fac Appl Math & Control Proc, St Petersburg, Russia.
2 : Ernst Moritz Arndt Univ Greifswald, Inst Math & Informat, Walther Rathenau Str 47, D-17487 Greifswald, Germany.
3 : Univ Perpignan, IHPE, CNRS, UMR 5244, Via Domitia, F-66860 Perpignan, France.
4 : Los Alamos Natl Lab, Theoret Biol & Biophys Grp, Los Alamos, NM USA.
Source Journal Of Theoretical Biology (0022-5193) (Academic Press Ltd- Elsevier Science Ltd), 2019-02 , Vol. 462 , P. 381-390
DOI 10.1016/j.jtbi.2018.11.029
WOS© Times Cited 4
Keyword(s) Disease control, Basic reproduction number, Treatment, Compartmental epidemic model, Next generation matrix

An approach to estimate the influence of the treatment-type controls on the basic reproduction number, R-0, is proposed and elaborated. The presented approach allows one to estimate the effect of a given treatment strategy or to compare a number of different treatment strategies on the basic reproduction number. All our results are valid for sufficiently small values of the control. However, in many cases it is possible to extend this analysis to larger values of the control as was illustrated by examples.

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