Mathematical Analysis of a COVID-19 SEIQR Model with Time-Varying Transmission

Threshold conditions for a COVID-19 susceptible-exposed-infectious-treated-recovered (SEIQR) model with constant recruitment rate and time-varying transmission rate are studied. Results show that the condition R¯ < 1, with R¯ as the reproduction number of the average system, is sufficient but not...

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Main Authors: Lutero, Destiny S., Teng, Timothy Robin, Tolentino, Mark Anthony C
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出版: Archīum Ateneo 2024
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在線閱讀:https://archium.ateneo.edu/mathematics-faculty-pubs/262
https://doi.org/10.1063/5.0192872
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機構: Ateneo De Manila University
id ph-ateneo-arc.mathematics-faculty-pubs-1263
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spelling ph-ateneo-arc.mathematics-faculty-pubs-12632024-04-15T07:10:08Z Mathematical Analysis of a COVID-19 SEIQR Model with Time-Varying Transmission Lutero, Destiny S. Teng, Timothy Robin Tolentino, Mark Anthony C Threshold conditions for a COVID-19 susceptible-exposed-infectious-treated-recovered (SEIQR) model with constant recruitment rate and time-varying transmission rate are studied. Results show that the condition R¯ < 1, with R¯ as the reproduction number of the average system, is sufficient but not necessary to establish the local asymptotic stability of the disease-free equilibrium of the system (SEIQR). Furthermore, as long as R¯ < 1, the disease is eradicated regardless of the number of infectious agents at the beginning. 2024-01-24T08:00:00Z text https://archium.ateneo.edu/mathematics-faculty-pubs/262 https://doi.org/10.1063/5.0192872 Mathematics Faculty Publications Archīum Ateneo Mathematics Physical Sciences and Mathematics
institution Ateneo De Manila University
building Ateneo De Manila University Library
continent Asia
country Philippines
Philippines
content_provider Ateneo De Manila University Library
collection archium.Ateneo Institutional Repository
topic Mathematics
Physical Sciences and Mathematics
spellingShingle Mathematics
Physical Sciences and Mathematics
Lutero, Destiny S.
Teng, Timothy Robin
Tolentino, Mark Anthony C
Mathematical Analysis of a COVID-19 SEIQR Model with Time-Varying Transmission
description Threshold conditions for a COVID-19 susceptible-exposed-infectious-treated-recovered (SEIQR) model with constant recruitment rate and time-varying transmission rate are studied. Results show that the condition R¯ < 1, with R¯ as the reproduction number of the average system, is sufficient but not necessary to establish the local asymptotic stability of the disease-free equilibrium of the system (SEIQR). Furthermore, as long as R¯ < 1, the disease is eradicated regardless of the number of infectious agents at the beginning.
format text
author Lutero, Destiny S.
Teng, Timothy Robin
Tolentino, Mark Anthony C
author_facet Lutero, Destiny S.
Teng, Timothy Robin
Tolentino, Mark Anthony C
author_sort Lutero, Destiny S.
title Mathematical Analysis of a COVID-19 SEIQR Model with Time-Varying Transmission
title_short Mathematical Analysis of a COVID-19 SEIQR Model with Time-Varying Transmission
title_full Mathematical Analysis of a COVID-19 SEIQR Model with Time-Varying Transmission
title_fullStr Mathematical Analysis of a COVID-19 SEIQR Model with Time-Varying Transmission
title_full_unstemmed Mathematical Analysis of a COVID-19 SEIQR Model with Time-Varying Transmission
title_sort mathematical analysis of a covid-19 seiqr model with time-varying transmission
publisher Archīum Ateneo
publishDate 2024
url https://archium.ateneo.edu/mathematics-faculty-pubs/262
https://doi.org/10.1063/5.0192872
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