Mathematical Modelling for COVID-19 Dynamics with Vaccination Class

Mathematical Modelling for COVID-19 Dynamics with Vaccination Class

We develop a six-compartment differential equation model for the transmission of COVID-19 by dividing the human population into susceptible; vaccinated; exposed; infectious; confirmed; and recovered. We use the basic reproduction number R0 to determine when the disease will die out and when it will...

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Bibliographic Details
Main Authors: Lagura, Maria Czarina T, David, Roden Jason, De Lara-Tuprio, Elvira P
Format: text
Published: Archīum Ateneo 2022
Subjects:
Covid-19
Compartmental model
Vaccination
Stability analysis
Basic reproduction number
Next generation matrix
Applied Mathematics
Epidemiology
Medicine and Health Sciences
Physical Sciences and Mathematics
Public Health
Online Access:https://archium.ateneo.edu/mathematics-faculty-pubs/229
https://doi.org/10.1007/978-3-031-04028-3_23
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Institution: Ateneo De Manila University
Description
Summary:We develop a six-compartment differential equation model for the transmission of COVID-19 by dividing the human population into susceptible; vaccinated; exposed; infectious; confirmed; and recovered. We use the basic reproduction number R0 to determine when the disease will die out and when it will stay in the community. This is done by showing that when R0 < 1; then the disease-free equilibrium solution is globally asymptotically stable; and when R0 > 1; the endemic equilibrium is globally asymptotically stable. Finally; we use numerical solutions to confirm the results of our stability analysis.

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