A Novel compartmental VSLIT model used to analyze the dynamics of tuberculosis in Algeria and Ukraine and the assessment of vaccination and treatment effects
UDC 517.9 Despite having low rates of tuberculosis (TB) mortality in many countries, like China, Europe, and the United States, other countries, like India continue to struggle to contain the epidemic. This study intends to examine the effects of vaccinations and treatments on the dynam...
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| Datum: | 2024 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Institute of Mathematics, NAS of Ukraine
2024
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/7658 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512692687601664 |
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| author | Chennaf, Bouchra Abdelouahab, Mohammed Salah Lozi, René Chennaf, Bouchra Abdelouahab, Mohammed Salah Lozi, René |
| author_facet | Chennaf, Bouchra Abdelouahab, Mohammed Salah Lozi, René Chennaf, Bouchra Abdelouahab, Mohammed Salah Lozi, René |
| author_sort | Chennaf, Bouchra |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-06-19T00:34:57Z |
| description | UDC 517.9
Despite having low rates of tuberculosis (TB) mortality in many countries, like China, Europe, and the United States, other countries, like India continue to struggle to contain the epidemic. This study intends to examine the effects of vaccinations and treatments on the dynamics of TB in two countries, Ukraine and Algeria, with contrasted demographic profiles. A mathematical model called the VSLIT model is considered for this purpose. The stability of both disease-free and endemic equilibrium is discussed qualitatively. For numerical simulations,  the parameters are evaluated by the least squares approach according to the TB-reported data for Algeria and Ukraine from 1990 to 2020. |
| doi_str_mv | 10.3842/umzh.v75i12.7658 |
| first_indexed | 2026-03-24T03:32:50Z |
| format | Article |
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| id | umjimathkievua-article-7658 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:32:50Z |
| publishDate | 2024 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
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| spelling | umjimathkievua-article-76582024-06-19T00:34:57Z A Novel compartmental VSLIT model used to analyze the dynamics of tuberculosis in Algeria and Ukraine and the assessment of vaccination and treatment effects A Novel compartmental VSLIT model used to analyze the dynamics of tuberculosis in Algeria and Ukraine and the assessment of vaccination and treatment effects Chennaf, Bouchra Abdelouahab, Mohammed Salah Lozi, René Chennaf, Bouchra Abdelouahab, Mohammed Salah Lozi, René Tuberculosis epidemic vaccination parameter estimation reproduction number UDC 517.9 Despite having low rates of tuberculosis (TB) mortality in many countries, like China, Europe, and the United States, other countries, like India continue to struggle to contain the epidemic. This study intends to examine the effects of vaccinations and treatments on the dynamics of TB in two countries, Ukraine and Algeria, with contrasted demographic profiles. A mathematical model called the VSLIT model is considered for this purpose. The stability of both disease-free and endemic equilibrium is discussed qualitatively. For numerical simulations,  the parameters are evaluated by the least squares approach according to the TB-reported data for Algeria and Ukraine from 1990 to 2020. УДК 517.9 Нова модель VSLIT  ідділення, яку використано для аналізу динаміки туберкульозу в Алжирі та Україні й оцінки ефектів вакцинації та лікування Незважаючи на низькі показники смертності від туберкульозу (ТБ) у багатьох країнах, таких як Китай, європейські країни та Сполучені Штати, інші країни, такі як Індія, продовжують боротися з метою стримування епідемії. Це дослідження має на меті вивчення впливу вакцинації та лікування на динаміку ТБ у двох країнах, Україні та Алжирі, з контрастними демографічними профілями. Для цього застосовано математичну модель під назвою VSLIT. Стабільність як вільної від хвороб, так і ендемічної рівноваги досліджується якісно. Параметри чисельного моделювання  оцінюються за допомогою методу найменших квадратів із використанням даних про поширення ТБ в Алжирі та Україні за період з 1990 по 2020 рік. Institute of Mathematics, NAS of Ukraine 2024-01-02 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7658 10.3842/umzh.v75i12.7658 Ukrains’kyi Matematychnyi Zhurnal; Vol. 75 No. 12 (2023); 1709 - 1722 Український математичний журнал; Том 75 № 12 (2023); 1709 - 1722 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7658/9935 Copyright (c) 2024 Mohammed Salah Abdelouahab, Bouchra Chennaf, René Lozi |
| spellingShingle | Chennaf, Bouchra Abdelouahab, Mohammed Salah Lozi, René Chennaf, Bouchra Abdelouahab, Mohammed Salah Lozi, René A Novel compartmental VSLIT model used to analyze the dynamics of tuberculosis in Algeria and Ukraine and the assessment of vaccination and treatment effects |
| title | A Novel compartmental VSLIT model used to analyze the dynamics of tuberculosis in Algeria and Ukraine and the assessment of vaccination and treatment effects |
| title_alt | A Novel compartmental VSLIT model used to analyze the dynamics of tuberculosis in Algeria and Ukraine and the assessment of vaccination and treatment effects |
| title_full | A Novel compartmental VSLIT model used to analyze the dynamics of tuberculosis in Algeria and Ukraine and the assessment of vaccination and treatment effects |
| title_fullStr | A Novel compartmental VSLIT model used to analyze the dynamics of tuberculosis in Algeria and Ukraine and the assessment of vaccination and treatment effects |
| title_full_unstemmed | A Novel compartmental VSLIT model used to analyze the dynamics of tuberculosis in Algeria and Ukraine and the assessment of vaccination and treatment effects |
| title_short | A Novel compartmental VSLIT model used to analyze the dynamics of tuberculosis in Algeria and Ukraine and the assessment of vaccination and treatment effects |
| title_sort | novel compartmental vslit model used to analyze the dynamics of tuberculosis in algeria and ukraine and the assessment of vaccination and treatment effects |
| topic_facet | Tuberculosis epidemic vaccination parameter estimation reproduction number |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7658 |
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