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Updated: Aug 6, 2025

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
Published on: July 4, 2007
The effect of mixed vaccination rollout strategy: A modelling study
Nico Stollenwerk1,2, Carlo Delfin S Estadilla1,3, Javier Mar4,5
1BCAM-Basque Center for Applied Mathematics, Bilbao, Basque Country, Spain.
COVID-19 vaccine effectiveness (VE) was modeled using the SHAR model. Reductions in COVID-19 hospitalizations were observed five months post-vaccination rollout, particularly in June 2021.
Area of Science:
- Epidemiology
- Mathematical Modeling
- Public Health
Background:
- Vaccine efficacy (VE) requires long-term population studies beyond initial trials.
- COVID-19 vaccines demonstrate high efficacy against severe disease post-full immunization.
- Understanding real-world vaccine impact is crucial for public health strategies.
Purpose of the Study:
- To assess the impact of COVID-19 vaccination rollout on hospitalization rates.
- To model the performance of different vaccine types against severe disease and transmission.
- To evaluate vaccine effectiveness in a mixed vaccination setting.
Main Methods:
- Utilized an extended Susceptible - Hospitalized - Asymptomatic/mild - Recovered (SHAR) model.
- Incorporated vaccine efficacy data from trials, considering one vs. two doses.
- Simulated vaccine performance for two types: disease-only protection and infection/disease protection.
Main Results:
- Modeled reductions in COVID-19 hospitalizations were observed five months after vaccination rollout began.
- The simulation showed good agreement with empirical data in June 2021.
- Vaccine effectiveness in reducing hospitalizations was demonstrated in the Basque Country, Spain.
Conclusions:
- Mathematical modeling supports the observed reduction in COVID-19 hospitalizations post-vaccination.
- The SHAR model provides a framework for evaluating vaccine impact on population health.
- Real-world data validation is essential for confirming the effectiveness of COVID-19 vaccination programs.
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