Stability analysis in COVID-19 within-host model with immune response

The 2019 coronavirus disease (COVID-19) is now a global pandemic. Severe Acute Respiratory Syndrome Coronavirus 2 (SARS-CoV-2) is the causative pathogen of COVID-19. Here, we study an in-host model that highlights the effector T cell response to SARS-CoV-2. The stability of a unique positive equilib...

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Autores principales: Almocera, Alexis Erich S., Quiroz, Griselda, Hernandez-Vargas, Esteban A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier B.V. 2021
Materias:
Research Paper
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7606083/
https://www.ncbi.nlm.nih.gov/pubmed/33162723
http://dx.doi.org/10.1016/j.cnsns.2020.105584
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author Almocera, Alexis Erich S.
Quiroz, Griselda
Hernandez-Vargas, Esteban A.
author_facet Almocera, Alexis Erich S.
Quiroz, Griselda
Hernandez-Vargas, Esteban A.
author_sort Almocera, Alexis Erich S.
collection PubMed
description The 2019 coronavirus disease (COVID-19) is now a global pandemic. Severe Acute Respiratory Syndrome Coronavirus 2 (SARS-CoV-2) is the causative pathogen of COVID-19. Here, we study an in-host model that highlights the effector T cell response to SARS-CoV-2. The stability of a unique positive equilibrium point, with viral load [Formula: see text] suggests that the virus may replicate fast enough to overcome T cell response and cause infection. This overcoming is the bifurcation point, near which the orders of magnitude for [Formula: see text] can be sensitive to numerical changes in the parameter values. Our work offers a mathematical insight into how SARS-CoV-2 causes the disease.
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spelling pubmed-76060832020-11-03 Stability analysis in COVID-19 within-host model with immune response Almocera, Alexis Erich S. Quiroz, Griselda Hernandez-Vargas, Esteban A. Commun Nonlinear Sci Numer Simul Research Paper The 2019 coronavirus disease (COVID-19) is now a global pandemic. Severe Acute Respiratory Syndrome Coronavirus 2 (SARS-CoV-2) is the causative pathogen of COVID-19. Here, we study an in-host model that highlights the effector T cell response to SARS-CoV-2. The stability of a unique positive equilibrium point, with viral load [Formula: see text] suggests that the virus may replicate fast enough to overcome T cell response and cause infection. This overcoming is the bifurcation point, near which the orders of magnitude for [Formula: see text] can be sensitive to numerical changes in the parameter values. Our work offers a mathematical insight into how SARS-CoV-2 causes the disease. Elsevier B.V. 2021-04 2020-11-03 /pmc/articles/PMC7606083/ /pubmed/33162723 http://dx.doi.org/10.1016/j.cnsns.2020.105584 Text en © 2020 Elsevier B.V. All rights reserved. Since January 2020 Elsevier has created a COVID-19 resource centre with free information in English and Mandarin on the novel coronavirus COVID-19. The COVID-19 resource centre is hosted on Elsevier Connect, the company's public news and information website. Elsevier hereby grants permission to make all its COVID-19-related research that is available on the COVID-19 resource centre - including this research content - immediately available in PubMed Central and other publicly funded repositories, such as the WHO COVID database with rights for unrestricted research re-use and analyses in any form or by any means with acknowledgement of the original source. These permissions are granted for free by Elsevier for as long as the COVID-19 resource centre remains active.
spellingShingle Research Paper
Almocera, Alexis Erich S.
Quiroz, Griselda
Hernandez-Vargas, Esteban A.
Stability analysis in COVID-19 within-host model with immune response
title Stability analysis in COVID-19 within-host model with immune response
title_full Stability analysis in COVID-19 within-host model with immune response
title_fullStr Stability analysis in COVID-19 within-host model with immune response
title_full_unstemmed Stability analysis in COVID-19 within-host model with immune response
title_short Stability analysis in COVID-19 within-host model with immune response
title_sort stability analysis in covid-19 within-host model with immune response
topic Research Paper
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7606083/
https://www.ncbi.nlm.nih.gov/pubmed/33162723
http://dx.doi.org/10.1016/j.cnsns.2020.105584
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