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Crowding effects on the dynamics of COVID-19 mathematical model
A disastrous coronavirus, which infects a normal person through droplets of infected person, has a route that is usually by mouth, eyes, nose or hands. These contact routes make it very dangerous as no one can get rid of it. The significant factor of increasing trend in COVID19 cases is the crowding...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer International Publishing
2020
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7705858/ https://www.ncbi.nlm.nih.gov/pubmed/33281894 http://dx.doi.org/10.1186/s13662-020-03137-3 |
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author | Zhang, Zizhen Zeb, Anwar Alzahrani, Ebraheem Iqbal, Sohail |
author_facet | Zhang, Zizhen Zeb, Anwar Alzahrani, Ebraheem Iqbal, Sohail |
author_sort | Zhang, Zizhen |
collection | PubMed |
description | A disastrous coronavirus, which infects a normal person through droplets of infected person, has a route that is usually by mouth, eyes, nose or hands. These contact routes make it very dangerous as no one can get rid of it. The significant factor of increasing trend in COVID19 cases is the crowding factor, which we named “crowding effects”. Modeling of this effect is highly necessary as it will help to predict the possible impact on the overall population. The nonlinear incidence rate is the best approach to modeling this effect. At the first step, the model is formulated by using a nonlinear incidence rate with inclusion of the crowding effect, then its positivity and proposed boundedness will be addressed leading to model dynamics using the reproductive number. Then to get the graphical results a nonstandard finite difference (NSFD) scheme and fourth order Runge–Kutta (RK4) method are applied. |
format | Online Article Text |
id | pubmed-7705858 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2020 |
publisher | Springer International Publishing |
record_format | MEDLINE/PubMed |
spelling | pubmed-77058582020-12-01 Crowding effects on the dynamics of COVID-19 mathematical model Zhang, Zizhen Zeb, Anwar Alzahrani, Ebraheem Iqbal, Sohail Adv Differ Equ Research A disastrous coronavirus, which infects a normal person through droplets of infected person, has a route that is usually by mouth, eyes, nose or hands. These contact routes make it very dangerous as no one can get rid of it. The significant factor of increasing trend in COVID19 cases is the crowding factor, which we named “crowding effects”. Modeling of this effect is highly necessary as it will help to predict the possible impact on the overall population. The nonlinear incidence rate is the best approach to modeling this effect. At the first step, the model is formulated by using a nonlinear incidence rate with inclusion of the crowding effect, then its positivity and proposed boundedness will be addressed leading to model dynamics using the reproductive number. Then to get the graphical results a nonstandard finite difference (NSFD) scheme and fourth order Runge–Kutta (RK4) method are applied. Springer International Publishing 2020-12-01 2020 /pmc/articles/PMC7705858/ /pubmed/33281894 http://dx.doi.org/10.1186/s13662-020-03137-3 Text en © The Author(s) 2020 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. |
spellingShingle | Research Zhang, Zizhen Zeb, Anwar Alzahrani, Ebraheem Iqbal, Sohail Crowding effects on the dynamics of COVID-19 mathematical model |
title | Crowding effects on the dynamics of COVID-19 mathematical model |
title_full | Crowding effects on the dynamics of COVID-19 mathematical model |
title_fullStr | Crowding effects on the dynamics of COVID-19 mathematical model |
title_full_unstemmed | Crowding effects on the dynamics of COVID-19 mathematical model |
title_short | Crowding effects on the dynamics of COVID-19 mathematical model |
title_sort | crowding effects on the dynamics of covid-19 mathematical model |
topic | Research |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7705858/ https://www.ncbi.nlm.nih.gov/pubmed/33281894 http://dx.doi.org/10.1186/s13662-020-03137-3 |
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