Nicolò Cangiotti, Marco Capolli, Mattia Sensi, Sara Sottile
{"title":"流行病区室模型的李雅普诺夫函数综述。","authors":"Nicolò Cangiotti, Marco Capolli, Mattia Sensi, Sara Sottile","doi":"10.1007/s40574-023-00368-6","DOIUrl":null,"url":null,"abstract":"<p><p>In this survey, we propose an overview on Lyapunov functions for a variety of compartmental models in epidemiology. We exhibit the most widely employed functions, and provide a commentary on their use. Our aim is to provide a comprehensive starting point to readers who are attempting to prove global stability of systems of ODEs. The focus is on mathematical epidemiology, however some of the functions and strategies presented in this paper can be adapted to a wider variety of models, such as prey-predator or rumor spreading.</p>","PeriodicalId":72440,"journal":{"name":"Bollettino della Unione matematica italiana (2008)","volume":" ","pages":"1-17"},"PeriodicalIF":0.0000,"publicationDate":"2023-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10242238/pdf/","citationCount":"3","resultStr":"{\"title\":\"A survey on Lyapunov functions for epidemic compartmental models.\",\"authors\":\"Nicolò Cangiotti, Marco Capolli, Mattia Sensi, Sara Sottile\",\"doi\":\"10.1007/s40574-023-00368-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>In this survey, we propose an overview on Lyapunov functions for a variety of compartmental models in epidemiology. We exhibit the most widely employed functions, and provide a commentary on their use. Our aim is to provide a comprehensive starting point to readers who are attempting to prove global stability of systems of ODEs. The focus is on mathematical epidemiology, however some of the functions and strategies presented in this paper can be adapted to a wider variety of models, such as prey-predator or rumor spreading.</p>\",\"PeriodicalId\":72440,\"journal\":{\"name\":\"Bollettino della Unione matematica italiana (2008)\",\"volume\":\" \",\"pages\":\"1-17\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-06-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10242238/pdf/\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bollettino della Unione matematica italiana (2008)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s40574-023-00368-6\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bollettino della Unione matematica italiana (2008)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s40574-023-00368-6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A survey on Lyapunov functions for epidemic compartmental models.
In this survey, we propose an overview on Lyapunov functions for a variety of compartmental models in epidemiology. We exhibit the most widely employed functions, and provide a commentary on their use. Our aim is to provide a comprehensive starting point to readers who are attempting to prove global stability of systems of ODEs. The focus is on mathematical epidemiology, however some of the functions and strategies presented in this paper can be adapted to a wider variety of models, such as prey-predator or rumor spreading.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
