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

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

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.