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The emergence of a virus variant: dynamics of a competition model with cross-immunity time-delay validated by wastewater surveillance data for COVID-19

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Bibliographic Details
Main Authors: Bruce, Pell, Samantha, Brozak, Tin, Phan
Format: Book
Language:English
Published: Springer 2023
Subjects:
established strain
disease-free equilibrium
Online Access:https://link.springer.com/article/10.1007/s00285-023-01900-0
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7488
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spelling oai:localhost:PNK-74882023-04-04T04:57:51Z The emergence of a virus variant: dynamics of a competition model with cross-immunity time-delay validated by wastewater surveillance data for COVID-19 Bruce, Pell Samantha, Brozak Tin, Phan established strain disease-free equilibrium CC BY We consider the dynamics of a virus spreading through a population that produces a mutant strain with the ability to infect individuals that were infected with the established strain. Temporary cross-immunity is included using a time delay, but is found to be a harmless delay. We provide some sufficient conditions that guarantee local and global asymptotic stability of the disease-free equilibrium and the two boundary equilibria when the two strains outcompete one another. It is shown that, due to the immune evasion of the emerging strain, the reproduction number of the emerging strain must be significantly lower than that of the established strain for the local stability of the established-strain-only boundary equilibrium. 2023-04-04T04:57:51Z 2023-04-04T04:57:51Z 2023 Book https://link.springer.com/article/10.1007/s00285-023-01900-0 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7488 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic established strain
disease-free equilibrium
spellingShingle established strain
disease-free equilibrium
Bruce, Pell
Samantha, Brozak
Tin, Phan
The emergence of a virus variant: dynamics of a competition model with cross-immunity time-delay validated by wastewater surveillance data for COVID-19
description CC BY
format Book
author Bruce, Pell
Samantha, Brozak
Tin, Phan
author_facet Bruce, Pell
Samantha, Brozak
Tin, Phan
author_sort Bruce, Pell
title The emergence of a virus variant: dynamics of a competition model with cross-immunity time-delay validated by wastewater surveillance data for COVID-19
title_short The emergence of a virus variant: dynamics of a competition model with cross-immunity time-delay validated by wastewater surveillance data for COVID-19
title_full The emergence of a virus variant: dynamics of a competition model with cross-immunity time-delay validated by wastewater surveillance data for COVID-19
title_fullStr The emergence of a virus variant: dynamics of a competition model with cross-immunity time-delay validated by wastewater surveillance data for COVID-19
title_full_unstemmed The emergence of a virus variant: dynamics of a competition model with cross-immunity time-delay validated by wastewater surveillance data for COVID-19
title_sort emergence of a virus variant: dynamics of a competition model with cross-immunity time-delay validated by wastewater surveillance data for covid-19
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s00285-023-01900-0
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7488
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score 8.891695

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