Optimal Perturbations of Systems with Delayed Independent Variables for Control of Dynamics of Infectious Diseases Based on Multicomponent Actions

Autor:	Gennady Bocharov, M. Yu. Khristichenko, Dmitry Grebennikov, Yu. M. Nechepurenko
Rok vydání:	2021
Předmět:	Statistics and Probability Variables Mathematical model Applied Mathematics General Mathematics media_common.quotation_subject Dynamics (mechanics) Perturbation (astronomy) State (functional analysis) Dynamical system Flow (mathematics) Applied mathematics Stationary state Mathematics media_common
Zdroj:	Journal of Mathematical Sciences. 253:618-641
ISSN:	1573-8795 1072-3374
DOI:	10.1007/s10958-021-05258-w
Popis:	In this paper, we apply optimal perturbations to control mathematical models of infectious diseases expressed as systems of nonlinear differential equations with delayed independent variables. We develop the method for calculation of perturbations of the initial state of a dynamical system with delayed independent variable producing maximal amplification in the given local norm taking into account weights of perturbation components. For the model of experimental virus infection, we construct optimal perturbation for two types of stationary states, with low or high viral load, corresponding to different variants of chronic virus infection flow.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e6c8cc27dc70f179661c8dbcf4b993df https://doi.org/10.1007/s10958-021-05258-w Zobrazit plný text záznamu Plný text ve formátu PDF