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  4. The diffusion scattering parameters identification for a modified model of viral infection in the conditions of logistic dynamics of immunological cells

The diffusion scattering parameters identification for a modified model of viral infection in the conditions of logistic dynamics of immunological cells

MMC.
2024;
Volume 11, Number 1
: pp. 59–69
https://doi.org/10.23939/mmc2024.01.059
Received: June 06, 2023
Accepted: January 19, 2024

Baranovsky S. V., Bomba A. Ya. The diffusion scattering parameters identification for a modified model of viral infection in the conditions of logistic dynamics of immunological cells. Mathematical Modeling and Computing. Vol. 11, No. 1, pp. 59–69 (2024)

Authors:
  1. S. V. Baranovsky
  2. A. Ya. Bomba
1
National University of Water and Environmental Engineering
2
National University of Water and Environmental Engineering

Based on the modification of the infectious disease model, taking into account diffusion disturbances and logistic dynamics of immunological cells, separate approaches to the diffusion scattering parameters identification for different types of functional dependence of diffusion coefficients and given redefinition conditions are proposed.  A special step-by-step procedure for numerically asymptotic approximation of the solution to the corresponding singularly perturbed model problem with a delay has been improved.  The results of computer experiments on identifying the unknown diffusion scattering parameters are presented.  It is noted that the identification and application of variable diffusion coefficients will provide a more accurate prediction of the dynamics of an infectious disease, which is significant in decision-making regarding the use of various medical procedures.

infectious disease model
parameter identification
dynamic systems with delay
asymptotic method
singularly perturbed problem
logistic dynamics
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