具有多时滞的HIV-TB共感染模型的阈值动力学

IF 0.7 Q2 MATHEMATICS

Tamkang Journal of Mathematics Pub Date : 2021-04-13 DOI:10.5556/J.TKJM.53.2022.3295

M. Pitchaimani, A. S. Devi

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引用次数: 1

摘要

本文提出并分析了具有两个时滞的HIV-TB合并感染动力学的数学模型。我们计算作为阈值参数的每种疾病(艾滋病毒和结核病)的基本繁殖数。当两种疾病的基本繁殖数小于1时，该疾病死亡;当至少一种疾病的基本繁殖数大于1时，该疾病持续存在。本文还对该模型进行了数值研究，探讨了某些关键参数对疾病传播的影响。我们的模型的数学分析表明，将合并感染(HIV和TB)转变为单一感染(HIV)可以通过同时对这两种疾病进行治疗来实现，因为通过有效的治疗可以根除结核病。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Threshold Dynamics of an HIV-TB Co-infection Model with Multiple Time Delays

In this article, a mathematical model to study the dynamics of HIV-TB coinfection with two time delays is proposed and analyzed. We compute the basic reproduction number for each disease (HIV and TB) which acts as a threshold parameters. The disease dies out when the basic reproduction number of both diseases are less than unity and persists when the basic reproduction number of atleast one of the disease is greater than unity. A numerical study on the model is also performed to investigate the influence of certain key parameters on the spread of the disease. Mathematical analysis of our model shows that switching co-infection (HIV and TB) to single infection (HIV) can be achieved by imposing treatment for both the disease simultaneously as TB eradication is made possible with effective treatment.

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来源期刊

Tamkang Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

期刊介绍： To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.