{"title":"美国2023-2024年流感季节疫苗接种控制的见解:数学建模、最优控制和敏感性分析","authors":"Ana-Maria Croicu","doi":"10.1007/s11538-025-01494-2","DOIUrl":null,"url":null,"abstract":"<p><p>This study examines influenza transmission dynamics through mathematical modeling, vaccination strategies using optimal control, and the impact of key model parameters to the optimal control for the 2023-2024 influenza season in the United States. Using data from the CDC's FluView Interactive and FluVaxView databases, key parameters were estimated, revealing significant variability across states. Tailored vaccination strategies, designed to align with state-specific data and conditions, effectively reduced infections and reproduction numbers in all states. Sensitivity analysis of the optimal vaccination strategy and reproduction number revealed complex interactions among model parameters. These findings emphasize the need for carefully designed public health strategies to manage influenza effectively, supported by key recommendations presented in this paper.</p>","PeriodicalId":9372,"journal":{"name":"Bulletin of Mathematical Biology","volume":"87 9","pages":"130"},"PeriodicalIF":2.2000,"publicationDate":"2025-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Insights on Influenza Control Through Vaccination for the 2023-2024 Season in the USA: Mathematical Modeling, Optimal Control, and Sensitivity Analysis.\",\"authors\":\"Ana-Maria Croicu\",\"doi\":\"10.1007/s11538-025-01494-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>This study examines influenza transmission dynamics through mathematical modeling, vaccination strategies using optimal control, and the impact of key model parameters to the optimal control for the 2023-2024 influenza season in the United States. Using data from the CDC's FluView Interactive and FluVaxView databases, key parameters were estimated, revealing significant variability across states. Tailored vaccination strategies, designed to align with state-specific data and conditions, effectively reduced infections and reproduction numbers in all states. Sensitivity analysis of the optimal vaccination strategy and reproduction number revealed complex interactions among model parameters. These findings emphasize the need for carefully designed public health strategies to manage influenza effectively, supported by key recommendations presented in this paper.</p>\",\"PeriodicalId\":9372,\"journal\":{\"name\":\"Bulletin of Mathematical Biology\",\"volume\":\"87 9\",\"pages\":\"130\"},\"PeriodicalIF\":2.2000,\"publicationDate\":\"2025-08-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of Mathematical Biology\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s11538-025-01494-2\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"BIOLOGY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of Mathematical Biology","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11538-025-01494-2","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"BIOLOGY","Score":null,"Total":0}
Insights on Influenza Control Through Vaccination for the 2023-2024 Season in the USA: Mathematical Modeling, Optimal Control, and Sensitivity Analysis.
This study examines influenza transmission dynamics through mathematical modeling, vaccination strategies using optimal control, and the impact of key model parameters to the optimal control for the 2023-2024 influenza season in the United States. Using data from the CDC's FluView Interactive and FluVaxView databases, key parameters were estimated, revealing significant variability across states. Tailored vaccination strategies, designed to align with state-specific data and conditions, effectively reduced infections and reproduction numbers in all states. Sensitivity analysis of the optimal vaccination strategy and reproduction number revealed complex interactions among model parameters. These findings emphasize the need for carefully designed public health strategies to manage influenza effectively, supported by key recommendations presented in this paper.
期刊介绍:
The Bulletin of Mathematical Biology, the official journal of the Society for Mathematical Biology, disseminates original research findings and other information relevant to the interface of biology and the mathematical sciences. Contributions should have relevance to both fields. In order to accommodate the broad scope of new developments, the journal accepts a variety of contributions, including:
Original research articles focused on new biological insights gained with the help of tools from the mathematical sciences or new mathematical tools and methods with demonstrated applicability to biological investigations
Research in mathematical biology education
Reviews
Commentaries
Perspectives, and contributions that discuss issues important to the profession
All contributions are peer-reviewed.