When to Boost: How Dose Timing Determines the Epidemic Threshold

Fuente: arXiv
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Autori principali: Celestini, Alessandro, Colaiori, Francesca, Guarino, Stefano, Mastrostefano, Enrico, Pelusi, Francesca, Zastrow, Lena Rebecca
Natura: Preprint
Pubblicazione: 2025
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author Celestini, Alessandro
Colaiori, Francesca
Guarino, Stefano
Mastrostefano, Enrico
Pelusi, Francesca
Zastrow, Lena Rebecca
author_facet Celestini, Alessandro
Colaiori, Francesca
Guarino, Stefano
Mastrostefano, Enrico
Pelusi, Francesca
Zastrow, Lena Rebecca
contents Most vaccines require multiple doses, the first to induce recognition and antibody production and subsequent doses to boost the primary response and achieve optimal protection. We show that properly prioritizing the administration of first and second doses can shift the epidemic threshold, separating the disease-free from the endemic state and potentially preventing widespread outbreaks. Assuming homogeneous mixing, we prove that at a low vaccination rate, the best strategy is to give absolute priority to first doses. In contrast, for high vaccination rates, we propose a scheduling that outperforms a first-come first-served approach. We identify the threshold that separates these two scenarios and derive the optimal prioritization scheme and inter-dose interval. Agent-based simulations on real and synthetic contact networks validate our findings. We provide specific guidelines for effective resource allocation, showing that adjusting the timing between primer and booster significantly impacts epidemic outcomes and can determine whether the disease persists or disappears.
format Preprint
id arxiv_https___arxiv_org_abs_2502_16715
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle When to Boost: How Dose Timing Determines the Epidemic Threshold
Celestini, Alessandro
Colaiori, Francesca
Guarino, Stefano
Mastrostefano, Enrico
Pelusi, Francesca
Zastrow, Lena Rebecca
Physics and Society
Populations and Evolution
Most vaccines require multiple doses, the first to induce recognition and antibody production and subsequent doses to boost the primary response and achieve optimal protection. We show that properly prioritizing the administration of first and second doses can shift the epidemic threshold, separating the disease-free from the endemic state and potentially preventing widespread outbreaks. Assuming homogeneous mixing, we prove that at a low vaccination rate, the best strategy is to give absolute priority to first doses. In contrast, for high vaccination rates, we propose a scheduling that outperforms a first-come first-served approach. We identify the threshold that separates these two scenarios and derive the optimal prioritization scheme and inter-dose interval. Agent-based simulations on real and synthetic contact networks validate our findings. We provide specific guidelines for effective resource allocation, showing that adjusting the timing between primer and booster significantly impacts epidemic outcomes and can determine whether the disease persists or disappears.
title When to Boost: How Dose Timing Determines the Epidemic Threshold
topic Physics and Society
Populations and Evolution
url https://arxiv.org/abs/2502.16715