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Numerical simulation and stability analysis of a novel reaction–diffusion COVID-19 model
In this study, a novel reaction–diffusion model for the spread of the new coronavirus (COVID-19) is investigated. The model is a spatial extension of the recent COVID-19 SEIR model with nonlinear incidence rates by taking into account the effects of random movements of individuals from different com...
Autores principales: | , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer Netherlands
2021
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8236573/ https://www.ncbi.nlm.nih.gov/pubmed/34219967 http://dx.doi.org/10.1007/s11071-021-06623-9 |
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author | Ahmed, Nauman Elsonbaty, Amr Raza, Ali Rafiq, Muhammad Adel, Waleed |
author_facet | Ahmed, Nauman Elsonbaty, Amr Raza, Ali Rafiq, Muhammad Adel, Waleed |
author_sort | Ahmed, Nauman |
collection | PubMed |
description | In this study, a novel reaction–diffusion model for the spread of the new coronavirus (COVID-19) is investigated. The model is a spatial extension of the recent COVID-19 SEIR model with nonlinear incidence rates by taking into account the effects of random movements of individuals from different compartments in their environments. The equilibrium points of the new system are found for both diffusive and non-diffusive models, where a detailed stability analysis is conducted for them. Moreover, the stability regions in the space of parameters are attained for each equilibrium point for both cases of the model and the effects of parameters are explored. A numerical verification for the proposed model using a finite difference-based method is illustrated along with their consistency, stability and proving the positivity of the acquired solutions. The obtained results reveal that the random motion of individuals has significant impact on the observed dynamics and steady-state stability of the spread of the virus which helps in presenting some strategies for the better control of it. |
format | Online Article Text |
id | pubmed-8236573 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | Springer Netherlands |
record_format | MEDLINE/PubMed |
spelling | pubmed-82365732021-06-28 Numerical simulation and stability analysis of a novel reaction–diffusion COVID-19 model Ahmed, Nauman Elsonbaty, Amr Raza, Ali Rafiq, Muhammad Adel, Waleed Nonlinear Dyn Original Paper In this study, a novel reaction–diffusion model for the spread of the new coronavirus (COVID-19) is investigated. The model is a spatial extension of the recent COVID-19 SEIR model with nonlinear incidence rates by taking into account the effects of random movements of individuals from different compartments in their environments. The equilibrium points of the new system are found for both diffusive and non-diffusive models, where a detailed stability analysis is conducted for them. Moreover, the stability regions in the space of parameters are attained for each equilibrium point for both cases of the model and the effects of parameters are explored. A numerical verification for the proposed model using a finite difference-based method is illustrated along with their consistency, stability and proving the positivity of the acquired solutions. The obtained results reveal that the random motion of individuals has significant impact on the observed dynamics and steady-state stability of the spread of the virus which helps in presenting some strategies for the better control of it. Springer Netherlands 2021-06-28 2021 /pmc/articles/PMC8236573/ /pubmed/34219967 http://dx.doi.org/10.1007/s11071-021-06623-9 Text en © The Author(s), under exclusive licence to Springer Nature B.V. 2021 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic. |
spellingShingle | Original Paper Ahmed, Nauman Elsonbaty, Amr Raza, Ali Rafiq, Muhammad Adel, Waleed Numerical simulation and stability analysis of a novel reaction–diffusion COVID-19 model |
title | Numerical simulation and stability analysis of a novel reaction–diffusion COVID-19 model |
title_full | Numerical simulation and stability analysis of a novel reaction–diffusion COVID-19 model |
title_fullStr | Numerical simulation and stability analysis of a novel reaction–diffusion COVID-19 model |
title_full_unstemmed | Numerical simulation and stability analysis of a novel reaction–diffusion COVID-19 model |
title_short | Numerical simulation and stability analysis of a novel reaction–diffusion COVID-19 model |
title_sort | numerical simulation and stability analysis of a novel reaction–diffusion covid-19 model |
topic | Original Paper |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8236573/ https://www.ncbi.nlm.nih.gov/pubmed/34219967 http://dx.doi.org/10.1007/s11071-021-06623-9 |
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