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通过一种治疗机制的新型 COVID-19 与结核病分数阶共感染模型之间的转移动力学。

Transition dynamics between a novel coinfection model of fractional-order for COVID-19 and tuberculosis via a treatment mechanism.

作者信息

Joshi Hardik, Yavuz Mehmet

机构信息

Department of Mathematics, LJ Institute of Engineering and Technology, LJ University, Ahmedabad, Gujarat 382210 India.

Department of Mathematics and Computer Sciences, Necmettin Erbakan University, 42090 Konya, Türkiye.

出版信息

Eur Phys J Plus. 2023;138(5):468. doi: 10.1140/epjp/s13360-023-04095-x. Epub 2023 May 27.

DOI:10.1140/epjp/s13360-023-04095-x
PMID:37274455
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10220349/
Abstract

In this paper, a fractional-order coinfection model for the transmission dynamics of COVID-19 and tuberculosis is presented. The positivity and boundedness of the proposed coinfection model are derived. The equilibria and basic reproduction number of the COVID-19 sub-model, Tuberculosis sub-model, and COVID-19 and Tuberculosis coinfection model are derived. The local and global stability of both the COVID-19 and Tuberculosis sub-models are discussed. The equilibria of the coinfection model are locally asymptotically stable under certain conditions. Later, the impact of COVID-19 on TB and TB on COVID-19 is analyzed. Finally, the numerical simulation is carried out to assess the effect of various biological parameters in the transmission dynamics of COVID-19 and Tuberculosis coinfection.

摘要

本文提出了一个用于描述新冠病毒（COVID-19）与结核病传播动力学的分数阶合并感染模型。推导了所提出的合并感染模型的正性和有界性。得出了COVID-19子模型、结核病子模型以及COVID-19与结核病合并感染模型的平衡点和基本再生数。讨论了COVID-19和结核病子模型的局部和全局稳定性。在某些条件下，合并感染模型的平衡点是局部渐近稳定的。随后，分析了COVID-19对结核病的影响以及结核病对COVID-19的影响。最后，进行了数值模拟，以评估各种生物学参数在COVID-19与结核病合并感染传播动力学中的作用。

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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a4ee/10220349/ab743851ecea/13360_2023_4095_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a4ee/10220349/8c9128e8a1e1/13360_2023_4095_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a4ee/10220349/b7d6621e0c67/13360_2023_4095_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a4ee/10220349/1adb83b1e0d9/13360_2023_4095_Fig9_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a4ee/10220349/f8a85fe64757/13360_2023_4095_Fig10_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a4ee/10220349/404a236d2293/13360_2023_4095_Fig11_HTML.jpg

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