@Article{CSIAM-LS-1-506,
author = {Gou , WeiPeng , XiaolongLi , JianquanLou , JieZhang , Fengqin and Jin , Zhen},
title = {Determine Vaccination Priority in a Population of Partially Overlapping Groups},
journal = {CSIAM Transactions  on Life Sciences},
year = {2025},
volume = {1},
number = {3},
pages = {506--521},
abstract = {<p style="text-align: justify;">Personal diverse interests and many group interactions naturally create partially overlapping groups within a population. Those who belong to multiple groups play a crucial role in spreading of infectious diseases across the whole population. We develop an algorithm to decompose the microscopic overlap structure of groups with representing a population of partially overlapping groups as a hypergraph of partially overlapping hyperedges, and characterize it using a newly defined overlap matrix. We formulate a specific multi-group SIR epidemic model, and address a one-time preventive vaccine allocation problem aimed at effectively reducing the basic reproduction number. By leveraging perturbation theory, we derive a principled ranking index to measure the vaccination priority of different groups, and establish a ranking vaccination strategy, which usually outperforms random vaccination strategies as verified by a series of numerical examples. These results offer a theoretical foundation for public health decision-making to develop effective vaccination allocation plans.</p>},
issn = {3006-2721},
doi = {https://doi.org/10.4208/csiam-ls.SO-2025-0011},
url = {http://global-sci.org/intro/article_detail/csiam-ls/24513.html}
}