Effect of Vaccination to COVID-19 Disease Progression and Herd Immunity

Abstract: A mathematical model of COVID-19 with a delay-term for the vaccinated compartment is developed. It has parameters accounting for vaccine-induced immunity delay, vaccine effectiveness, vaccination rate, and vaccine-induced immunity duration. The model parameters before vaccination are calibrated with the Philippines’ confirmed cases. Simulations show that vaccination has a significant effect in reducing future infections, with the vaccination rate being the dominant determining factor of the level of reduction. Moreover, depending on the vaccination rate and the vaccine-induced immunity duration, the system could reach a disease-free state but could not attain herd immunity. Simulations are also done to compare the effects of the various available vaccines. Results show that Pfizer-BioNTech has the most promising effect while Sinovac has the worst result relative to the others.

Object Details

• Location: Deutsche Nationalbibliothek Frankfurt am Main
• Extent: Online-Ressource
• Language: Englisch

References and Relationships

• Bibliographic citation: Effect of Vaccination to COVID-19 Disease Progression and Herd Immunity ; volume:9 ; number:1 ; year:2021 ; pages:262-272 ; extent:11 ; Computational and mathematical biophysics ; 9, Heft 1 (2021), 262-272 (gesamt 11)

Contributors, Places and Time

• Creator: Caga-anan, Randy L. ; Raza, Michelle N. ; Labrador, Grace Shelda G. ; Metillo, Ephrime B. ; Castillo, Pierre del ; Mammeri, Youcef

Further information

• DOI: 10.1515/cmb-2020-0127
• URN: urn:nbn:de:101:1-2410261650294.398586770113
• Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
• Last update: 15.08.2025, 7:21 AM CEST