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 then use the basic reproduction number R0, derived using the next generation matrix, to determine...

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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
Mathematics
Ordinary Differential Equations and Applied Dynamics
Physical Sciences and Mathematics
Online Access:https://archium.ateneo.edu/mathematics-faculty-pubs/228
https://link.springer.com/chapter/10.1007/978-3-031-04028-3_23#citeas
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Institution: Ateneo De Manila University
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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 then use the basic reproduction number R0, derived using the next generation matrix, 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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