@article{Yu2026, 
author = {Jiaqi Yu and Yihong Li and Weiqiang Li},
title = {Optimal one-round interventions for an SIR epidemic under two distinct time horizons},
year = {2026},
journal = {Electronic Research Archive},
volume = {34},
number = {10},
pages = {7027-7045},
keywords = {non-pharmaceutical interventions, one-round interventions, SIR model, time horizon},
url = {https://www.sciopen.com/article/10.3934/era.2026304},
doi = {10.3934/era.2026304},
abstract = {Non-pharmaceutical interventions play a vital role in mitigating the outbreak of infectious diseases. During the COVID-19 pandemic, numerous countries and regions imposed multiple rounds of intervention measures to curb the spread of the disease. To get insights into optimal implementation of one-round interventions, two optimal control problems were examined under distinct time horizons, based on whether the herd immunity was reached. Here, one-round interventions were defined as interventions that operated under a budget constraint. Both of optimal control policies were proved to be purely bang-bang with a single switch, but their timings of onset were different. These results may provide some theoretical support for developing intervention strategies.}
}