Mathematical modelling of the immune response  to infectious diseases with the influence of environmental factors

Yaroslav Bihun; Oleh Ukrainets

doi:10.36120/2587-3644.v18i2.7-17

Vol 18 No 2 (2024), Статьи

Vol 18 No 2 (2024)

Mathematical modelling of the immune response to infectious diseases with the influence of environmental factors

Статьи

https://doi.org/10.36120/2587-3644.v18i2.7-17

Published January 10, 2025

Yaroslav Bihun⁺⁻
Oleh Ukrainets⁺⁻

Yaroslav Bihun

Yuriy Fedkovych Chernivtsi National University, 28 Universytetska str., Chernivtsi, Ukraine

Oleh Ukrainets

Yuriy Fedkovych Chernivtsi National University,\\ 28 Universytetska str., Chernivtsi, Ukraine

Supplementary Files

pdf

Keywords

immune response
infectious disease
mathematical model
stationary solution
stability of solutions
delay differential equations
Marchuk model
model of immune system

How to Cite

Bihun, Y., & Ukrainets, O. (2025). Mathematical modelling of the immune response to infectious diseases with the influence of environmental factors. Acta Et Commentationes Exact and Natural Sciences, 18(2), 7-17. https://doi.org/10.36120/2587-3644.v18i2.7-17

Abstract

The mathematical model of the immune response to infectious diseases with the influences of environmental factors is investigated. The conditions for the existence and uniqueness of the solution to the mathematical model for t>0 have been established. Stationary solutions have been identified, along with the conditions for their existence and asymptotic stability. The results are illustrated using a model example.