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非标准有限差分格式及具有回归类的吸烟模型分析

Non-standard finite difference scheme and analysis of smoking model with reversion class.

作者信息

Zeb Anwar, Alzahrani Abdullah

机构信息

Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad 22060, Khyber Pakhtunkhwa, Pakistan.

Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia.

出版信息

Results Phys. 2021 Feb;21:103785. doi: 10.1016/j.rinp.2020.103785. Epub 2021 Jan 6.

DOI:10.1016/j.rinp.2020.103785
PMID:33816094
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8009654/
Abstract

Smokers are at more risk to COVID-19 as the entertainment of smoking because their fingers are in touch with lips regularly during smoking that increases the probability of transmission of virus from hand to mouth. On other hand the smokers may have lung disease (or reduced lung capacity) which would greatly increase risk of serious illness especially COVID-19. For this esteem, in this research work, we first formulate a mathematical model contains the reversion class. Then, using different techniques for finding the local and global stability of the presented model related to equilibrium points that are free smoking and positive smoking equilibrium points. As the model consisting on the nonlinear equations, so we use the non-standard finite difference (NSFD) scheme, ODE45 and RK4 methods to find the numerical results. Finally, we show the graphs numerically through MATLAB.

摘要

吸烟者感染新冠病毒的风险更高,因为吸烟过程中手指经常接触嘴唇,这增加了病毒从手传播到嘴的可能性。另一方面,吸烟者可能患有肺部疾病(或肺功能下降),这将大大增加患重病尤其是感染新冠病毒的风险。出于这个原因,在本研究工作中,我们首先建立了一个包含回归类的数学模型。然后,使用不同技术来确定所提出模型与无吸烟和正吸烟平衡点相关的局部和全局稳定性。由于该模型由非线性方程组成,所以我们使用非标准有限差分(NSFD)格式、ODE45和RK4方法来获得数值结果。最后,我们通过MATLAB以数值方式展示图表。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fce3/8009654/7b0378d395a1/gr4_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fce3/8009654/608ea9e63c5f/gr1_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fce3/8009654/2bdcf498fe02/gr2_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fce3/8009654/1c9a4f918d89/gr3_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fce3/8009654/7b0378d395a1/gr4_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fce3/8009654/608ea9e63c5f/gr1_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fce3/8009654/2bdcf498fe02/gr2_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fce3/8009654/1c9a4f918d89/gr3_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fce3/8009654/7b0378d395a1/gr4_lrg.jpg

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