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,...
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| Format: | Article |
| Language: | English |
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"Ion Creanga" State Pedagogical University
2025-01-01
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| Series: | Acta et Commentationes: Ştiinţe Exacte şi ale Naturii |
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| Online Access: | https://revistaust.upsc.md/index.php/acta_exacte/article/view/1083 |
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| _version_ | 1823857423886057472 |
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| author | Yaroslav Bihun Oleh Ukrainets |
| author_facet | Yaroslav Bihun Oleh Ukrainets |
| author_sort | Yaroslav Bihun |
| collection | DOAJ |
| description |
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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| format | Article |
| id | doaj-art-66fea6a648e84ba39c883d0dc61089b2 |
| institution | Kabale University |
| issn | 2537-6284 2587-3644 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | "Ion Creanga" State Pedagogical University |
| record_format | Article |
| series | Acta et Commentationes: Ştiinţe Exacte şi ale Naturii |
| spelling | doaj-art-66fea6a648e84ba39c883d0dc61089b22025-02-11T21:03:58Zeng"Ion Creanga" State Pedagogical UniversityActa et Commentationes: Ştiinţe Exacte şi ale Naturii2537-62842587-36442025-01-0118210.36120/2587-3644.v18i2.7-17Mathematical modelling of the immune response to infectious diseases with the influence of environmental factorsYaroslav Bihun0Oleh Ukrainets1Yuriy Fedkovych Chernivtsi National University, 28 Universytetska str., Chernivtsi, UkraineYuriy Fedkovych Chernivtsi National University,\\ 28 Universytetska str., Chernivtsi, Ukraine 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. https://revistaust.upsc.md/index.php/acta_exacte/article/view/1083immune responseinfectious diseasemathematical modelstationary solutionstability of solutionsdelay differential equations |
| spellingShingle | Yaroslav Bihun Oleh Ukrainets Mathematical modelling of the immune response to infectious diseases with the influence of environmental factors Acta et Commentationes: Ştiinţe Exacte şi ale Naturii immune response infectious disease mathematical model stationary solution stability of solutions delay differential equations |
| title | Mathematical modelling of the immune response to infectious diseases with the influence of environmental factors |
| title_full | Mathematical modelling of the immune response to infectious diseases with the influence of environmental factors |
| title_fullStr | Mathematical modelling of the immune response to infectious diseases with the influence of environmental factors |
| title_full_unstemmed | Mathematical modelling of the immune response to infectious diseases with the influence of environmental factors |
| title_short | Mathematical modelling of the immune response to infectious diseases with the influence of environmental factors |
| title_sort | mathematical modelling of the immune response to infectious diseases with the influence of environmental factors |
| topic | immune response infectious disease mathematical model stationary solution stability of solutions delay differential equations |
| url | https://revistaust.upsc.md/index.php/acta_exacte/article/view/1083 |
| work_keys_str_mv | AT yaroslavbihun mathematicalmodellingoftheimmuneresponsetoinfectiousdiseaseswiththeinfluenceofenvironmentalfactors AT olehukrainets mathematicalmodellingoftheimmuneresponsetoinfectiousdiseaseswiththeinfluenceofenvironmentalfactors |