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KIAM Preprint  31, Moscow, 2019
Authors: Sklyarova E.V., Nechepurenko Y.M., Bocharov G.A.
Numerical steady state analysis of the Marchuk-Petrov model of antiviral immune response
Abstract:
The problem of guaranteed computation of all steady states of the Marchuk-Petrov model with fixed values of parameters and analysis of their stability is considered. It is shown that the system of ten nonlinear equations, non-negative solutions of which are steady states, can be reduced to a system of two equations. Region of possible non-negative solutions is analytically localized. An effective technology for computing all non-negative solutions and analyzing their stability is proposed. The obtained results provide a computational basis for the study of chronic forms of viral infections using the Marchuk-Petrov model.
Keywords:
viral infection, immune response, Marchuk-Petrov model, delayed equations, steady states, stability
Publication language: russian,  pages: 26
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Sklyarova Ekaterina Vitalievna,  KIAM RAS
  • Nechepurenko Yuri Mikhailovich, 
  • Bocharov Gennady Alekseevich,