Systematic evaluation of the population-level effects of alternative treatment strategies on the basic reproduction number
|Author(s)||Gromov Dmitry1, 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|
|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.