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KIAM Preprint  17, Moscow, 2019
Authors: Nechepurenko Y.M., Khristichenko M.Y., Grebennikov D.S., Bocharov G.A.
Bistability analysis of virus infection models with delayed arguments
Abstract:
Mathematical models with time delays are widely used to analyze the mechanisms of the immune response to viral infections and predict various therapeutic effects. Using the LCMV infection model as an example, this work describes an original computational technology for searching the bistable regimes of such models. This technology includes numerical methods for finding all possible steady states at fixed values of parameters, for tracing these states along the parameters and for analyzing their stability.
Keywords:
delay differential equations, virus infection models, treatment strategies, steady states, bistability, optimal disturbances
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:
  • Nechepurenko Yuri Mikhailovich, 
  • Khristichenko Michael Yurievich,  KIAM RAS
  • Grebennikov Dmitry Sergeevich, 
  • Bocharov Gennady Alekseevich,