用于分析阿尔及利亚和乌克兰结核病动态以及评估疫苗接种和治疗效果的新型分区 VSLIT 模型

IF 0.5 4区数学 Q3 MATHEMATICS Ukrainian Mathematical Journal Pub Date : 2024-04-30 DOI:10.1007/s11253-024-02301-2

Bouchra Chennaf, Mohammed Salah Abdelouahab, René Lozi

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引用次数: 0

摘要

尽管中国、欧洲和美国等许多国家的结核病（TB）死亡率较低，但印度等其他一些国家仍在努力遏制这一流行病。我们的目的是研究疫苗接种和治疗对乌克兰和阿尔及利亚这两个国家结核病动态的影响，这两个国家的人口状况截然不同。为此，我们考虑了一个名为 VSLIT 模型的数学模型。该模型定性地讨论了无病平衡和地方病平衡的稳定性。在数值模拟方面，根据阿尔及利亚和乌克兰 1990-2020 年的结核病报告数据，采用最小二乘法对参数进行了评估。

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A Novel Compartmental VSLIT Model Used to Analyze the Dynamics of Tuberculosis in Algeria and Ukraine and the Assessment of Vaccination and Treatment Effects

Despite having low rates of tuberculosis (TB) mortality in many countries, like China, Europe, and the United States, some other countries, such as India continue to struggle to contain the epidemic. Our aim is 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 in 1990–2020.

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来源期刊

Ukrainian Mathematical Journal MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

20.00%

发文量

107

审稿时长

4-8 weeks

期刊介绍： Ukrainian Mathematical Journal publishes articles and brief communications on various areas of pure and applied mathematics and contains sections devoted to scientific information, bibliography, and reviews of current problems. It features contributions from researchers from the Ukrainian Mathematics Institute, the major scientific centers of the Ukraine and other countries. Ukrainian Mathematical Journal is a translation of the peer-reviewed journal Ukrains’kyi Matematychnyi Zhurnal, a publication of the Institute of Mathematics of the National Academy of Sciences of Ukraine.

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