Zobrazeno 1 - 8
of 8
pro vyhledávání: '"M. Yu. Khristichenko"'
Publikováno v:
Contemporary Mathematics. Fundamental Directions. 68:686-703
This work is devoted to the technology developed by the authors that allows one for fixed values of parameters and tracing by parameters to calculate stationary solutions of systems with delay and analyze their stability. We discuss the results of ap
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::63f686e773b5676b40b5af10d1017d83
https://doi.org/10.22363/2413-3639-2022-68-4-686-703
https://doi.org/10.22363/2413-3639-2022-68-4-686-703
Publikováno v:
Russian Journal of Numerical Analysis and Mathematical Modelling. 36:87-99
The paper is focused on computation of stable periodic solutions to systems of delay differential equations modelling the dynamics of infectious diseases and immune response. The method proposed here is described by an example of the well-known model
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d822c273af2bb6757582ab0aead4c538
https://doi.org/10.1515/rnam-2021-0008
https://doi.org/10.1515/rnam-2021-0008
Publikováno v:
Journal of Mathematical Sciences. 253:618-641
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e6c8cc27dc70f179661c8dbcf4b993df
https://doi.org/10.1007/s10958-021-05258-w
https://doi.org/10.1007/s10958-021-05258-w
Publikováno v:
Computational Mathematics and Mathematical Physics. 59:731-746
Novel fast algorithms for computing the maximum amplification of the norm of solution and optimal disturbances for delay systems are proposed and justified. The proposed algorithms are tested on a system of four nonlinear delay differential equations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ca1cc8ceff63298f4a0d079f43b8b133
https://doi.org/10.1134/s0965542519050129
https://doi.org/10.1134/s0965542519050129
Publikováno v:
Doklady Mathematics. 98:313-316
For bistable time-delay dynamical systems modeling the dynamics of viral infections and the virusinduced immune response, an efficient approach is proposed for constructing optimal disturbances of steady states with a high viral load that transfer th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::04c6371053c718614ccc5b076d29c042
https://doi.org/10.1134/s1064562418050058
https://doi.org/10.1134/s1064562418050058
Publikováno v:
Journal of Physics: Conference Series. 2099:012036
Systems of time-delay differential equations are widely used to study the dynamics of infectious diseases and immune responses. The Marchuk-Petrov model is one of them. Stable non-trivial steady states and stable periodic solutions to this model can
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::85e4b5d2a63c3270d32e0d992977edbb
https://doi.org/10.1088/1742-6596/2099/1/012036
https://doi.org/10.1088/1742-6596/2099/1/012036
Publikováno v:
Contemporary Mathematics. Fundamental Directions. 63:392-417
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::65246f738215b6622f0344107d6534b2
https://doi.org/10.22363/2413-3639-2017-63-3-392-417
https://doi.org/10.22363/2413-3639-2017-63-3-392-417