This article is cited in 3 papers

Optimal perturbations of systems with delayed argument for control of dynamics of infectious diseases based on multicomponent actions

G. A. Bocharov^ab, Yu. M. Nechepurenko^ac, M. Yu. Khristichenko^ac, D. S. Grebennikov<sup>ac

a</sup> Institute of Numerical Mathematics of the Russian Academy of Sciences, 8 Gubkina st., 119333 Moscow, Russia
^b RUDN University, 6 Miklukho-Maklaya st., 117198 Moscow, Russia
^c Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences, 4 Miusskaya sq., 125047 Moscow, Russia

Abstract: In this paper, we apply optimal perturbations to control mathematical models of infectious diseases expressed as systems of nonlinear differential 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 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 virus load, corresponding to different variants of chronic virus infection flow.

UDC: 517.929+517.958:57

DOI: 10.22363/2413-3639-2017-63-3-392-417