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- Title
Numerical Analysis of Stationary Solutions of Systems with Delayed Argument in Mathematical Immunology.
- Authors
Khristichenko, M. Yu.; Nechepurenko, Yu. M.; Grebennikov, D. S.; Bocharov, G. A.
- 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 the Marchuk–Petrov 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.
- Subjects
NUMERICAL solutions to differential equations; HEPATITIS B; IMMUNOLOGY; ARGUMENT; IMMUNE response
- Publication
Journal of Mathematical Sciences, 2024, Vol 283, Issue 1, p125
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-024-07243-5