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

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.

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Publication Details

Journal
Acta et commentationes Ştiinţe Exacte şi ale Naturii
Published
2024-12-01
DOI
https://doi.org/10.36120/2587-3644.v18i2.7-17
Citations
1
Primary Topic
COVID-19 epidemiological studies
Type
article
Field-Weighted Citation Impact
0.40
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article

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

Yaroslav Bihun, Oleh Ukrainets
1 citations
Acta et commentationes Ştiinţe Exacte şi ale Naturii
COVID-19 epidemiological studies
0.40
article

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

Yaroslav Bihun, Oleh Ukrainets
article en
1 citations

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.

Acta et commentationes Ştiinţe Exacte şi ale NaturiiVol. 18(2)
Yuriy Fedkovych Chernivtsi National University (UA)
Openalex Percentile: Top 37%
COVID-19 epidemiological studies
0.40
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