Geodesic
Optimal perturbations of systems with delayed argument for control of dynamics of infectious diseases based on multicomponent actions
Contemporary Mathematics. Fundamental Directions, Differential and functional differential equations, Tome 63 (2017) no. 3, pp. 392-417

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{CMFD_2017_63_3_a1,
     author = {G. A. Bocharov and Yu. M. Nechepurenko and M. Yu. Khristichenko and D. S. Grebennikov},
     title = {Optimal perturbations of systems with delayed argument for control of dynamics of infectious diseases based on multicomponent actions},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {392--417},
     publisher = {mathdoc},
     volume = {63},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2017_63_3_a1/}
}
TY  - JOUR
AU  - G. A. Bocharov
AU  - Yu. M. Nechepurenko
AU  - M. Yu. Khristichenko
AU  - D. S. Grebennikov
TI  - Optimal perturbations of systems with delayed argument for control of dynamics of infectious diseases based on multicomponent actions
JO  - Contemporary Mathematics. Fundamental Directions
PY  - 2017
SP  - 392
EP  - 417
VL  - 63
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMFD_2017_63_3_a1/
LA  - ru
ID  - CMFD_2017_63_3_a1
ER  - 
%0 Journal Article
%A G. A. Bocharov
%A Yu. M. Nechepurenko
%A M. Yu. Khristichenko
%A D. S. Grebennikov
%T Optimal perturbations of systems with delayed argument for control of dynamics of infectious diseases based on multicomponent actions
%J Contemporary Mathematics. Fundamental Directions
%D 2017
%P 392-417
%V 63
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMFD_2017_63_3_a1/
%G ru
%F CMFD_2017_63_3_a1
G. A. Bocharov; Yu. M. Nechepurenko; M. Yu. Khristichenko; D. S. Grebennikov. Optimal perturbations of systems with delayed argument for control of dynamics of infectious diseases based on multicomponent actions. Contemporary Mathematics. Fundamental Directions, Differential and functional differential equations, Tome 63 (2017) no. 3, pp. 392-417. http://geodesic.mathdoc.fr/item/CMFD_2017_63_3_a1/