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Contemporary Mathematics. Fundamental Directions, 2022, Volume 68, Issue 4, Pages 686–703
DOI: https://doi.org/10.22363/2413-3639-2022-68-4-686-703 (Mi cmfd481) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Numerical analysis of stationary solutions of systems with delayed argument in mathematical immunology

M. Yu. Khristichenko, Yu. M. Nechepurenko, D. S. Grebennikov, G. A. Bocharov

Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, Moscow, Russia
Full-text PDF (422 kB) Citations (3)
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DOI: https://doi.org/10.22363/2413-3639-2022-68-4-686-703
Abstract: 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 applying this technology to Marchuk–Petrov's antiviral immune response model with parameter values corresponding to hepatitis B infection. The presence of bistability and hysteresis properties in this model is shown for the first time.
Keywords: Marchuk–Petrov’s antiviral immune response model, delayed argument, stationary solutions, tracing by parameters, numerical experiment, hepatitis B infection, bistability, hysteresis.
Funding agency Grant number
Russian Science Foundation 22-11-00025
Russian Foundation for Basic Research 20-01-00352
Bibliographic databases:
Document Type: Article
UDC: 517.929, 517.958
Language: Russian
Citation: M. Yu. Khristichenko, Yu. M. Nechepurenko, D. S. Grebennikov, G. A. Bocharov, “Numerical analysis of stationary solutions of systems with delayed argument in mathematical immunology”, Differential and functional differential equations, CMFD, 68, no. 4, PFUR, M., 2022, 686–703
Citation in format AMSBIB
\Bibitem{KhrNecGre22}
\by M.~Yu.~Khristichenko, Yu.~M.~Nechepurenko, D.~S.~Grebennikov, G.~A.~Bocharov
\paper Numerical analysis of stationary solutions of systems with delayed argument in mathematical immunology
\inbook Differential and functional differential equations
\serial CMFD
\yr 2022
\vol 68
\issue 4
\pages 686--703
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd481}
\crossref{https://doi.org/10.22363/2413-3639-2022-68-4-686-703}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4550508}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Современная математика. Фундаментальные направления
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