This article is cited 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

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.

UDC: 517.929, 517.958

DOI: 10.22363/2413-3639-2022-68-4-686-703

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