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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Bibliographic Details
Main Authors: Lutero, Destiny S., Teng, Timothy Robin, Tolentino, Mark Anthony C
Format: text
Published: Archīum Ateneo 2024
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Online Access:https://archium.ateneo.edu/mathematics-faculty-pubs/262
https://doi.org/10.1063/5.0192872
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Institution: Ateneo De Manila University
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Summary: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.