Open AccessOptimal Perturbations of Systems with Delayed Argument for Control of Dynamics of Infectious Diseases Based on Multicomponent Actions
Author(s) -
Gennady Bocharov,
Gennady Bocharov,
Yu. M. Nechepurenko,
Ю М Нечепуренко,
M. Yu. Khristichenko,
М Ю Христиченко,
Dmitry Grebennikov,
Dmitry Grebennikov
Publication year - 2017
Publication title -
sovremennaâ matematika. fundamentalʹnye napravleniâ
Language(s) - English
Resource type - Journals
eISSN - 2949-0618
pISSN - 2413-3639
DOI - 10.22363/2413-3639-2017-63-3-392-417
Subject(s) - perturbation (astronomy) , nonlinear system , argument (complex analysis) , optimal control , mathematics , dynamical systems theory , control theory (sociology) , norm (philosophy) , physics , mathematical optimization , computer science , control (management) , biology , quantum mechanics , biochemistry , artificial intelligence , political science , law
In this paper, we apply optimal perturbations to control mathematical models of infectious diseases expressed as systems of nonlinear dierential equations with delayed argument. We develop the method for calculation of perturbations of the initial state of a dynamical system with delayed argument producing maximal amplication 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 virus load, corresponding to dierent variants of chronic virus infection ow.