{"title":"竞争舆论对流行病传播的影响及其应用","authors":"Qingsong Liu;Guangjie Wang","doi":"10.1109/TNSE.2025.3577195","DOIUrl":null,"url":null,"abstract":"The community's opinion on epidemics has played an important role in government departments controlling the spread of infectious diseases. However, one of the most effective ways to analyze and understand the impact of community opinions on epidemics is to establish an effective mathematical model. In this paper, we propose a nonlinear discrete-time dynamics model to investigate the impact of the competitive opinion on the epidemic spreading. For the social network with cooperative and competitive interactions, sufficient conditions guaranteeing the stability of healthy equilibrium and unhealthy equilibrium are obtained in terms of the opinion based reproduction number. By introducing the stubborn community, it is revealed that the disappearance or coexistence of the epidemic depends on the initial level of the community infection. Based on the real data from a survey conducted on a sample of U.S. residents, we employ the proposed nonlinear epidemic-opinion model to explore the impacts of the non-pharmaceutical interventions on COVID-19 in human contact network, region traveling network and Chicago transportation network, respectively. It is further validated that the non-pharmacological interventions have a significant positive impact on reducing infection.","PeriodicalId":54229,"journal":{"name":"IEEE Transactions on Network Science and Engineering","volume":"12 6","pages":"4835-4845"},"PeriodicalIF":7.9000,"publicationDate":"2025-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Impact of Competitive Opinion on Epidemic Spreading and Its Applications\",\"authors\":\"Qingsong Liu;Guangjie Wang\",\"doi\":\"10.1109/TNSE.2025.3577195\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The community's opinion on epidemics has played an important role in government departments controlling the spread of infectious diseases. However, one of the most effective ways to analyze and understand the impact of community opinions on epidemics is to establish an effective mathematical model. In this paper, we propose a nonlinear discrete-time dynamics model to investigate the impact of the competitive opinion on the epidemic spreading. For the social network with cooperative and competitive interactions, sufficient conditions guaranteeing the stability of healthy equilibrium and unhealthy equilibrium are obtained in terms of the opinion based reproduction number. By introducing the stubborn community, it is revealed that the disappearance or coexistence of the epidemic depends on the initial level of the community infection. Based on the real data from a survey conducted on a sample of U.S. residents, we employ the proposed nonlinear epidemic-opinion model to explore the impacts of the non-pharmaceutical interventions on COVID-19 in human contact network, region traveling network and Chicago transportation network, respectively. It is further validated that the non-pharmacological interventions have a significant positive impact on reducing infection.\",\"PeriodicalId\":54229,\"journal\":{\"name\":\"IEEE Transactions on Network Science and Engineering\",\"volume\":\"12 6\",\"pages\":\"4835-4845\"},\"PeriodicalIF\":7.9000,\"publicationDate\":\"2025-06-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Transactions on Network Science and Engineering\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/11027547/\",\"RegionNum\":2,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Network Science and Engineering","FirstCategoryId":"94","ListUrlMain":"https://ieeexplore.ieee.org/document/11027547/","RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
The Impact of Competitive Opinion on Epidemic Spreading and Its Applications
The community's opinion on epidemics has played an important role in government departments controlling the spread of infectious diseases. However, one of the most effective ways to analyze and understand the impact of community opinions on epidemics is to establish an effective mathematical model. In this paper, we propose a nonlinear discrete-time dynamics model to investigate the impact of the competitive opinion on the epidemic spreading. For the social network with cooperative and competitive interactions, sufficient conditions guaranteeing the stability of healthy equilibrium and unhealthy equilibrium are obtained in terms of the opinion based reproduction number. By introducing the stubborn community, it is revealed that the disappearance or coexistence of the epidemic depends on the initial level of the community infection. Based on the real data from a survey conducted on a sample of U.S. residents, we employ the proposed nonlinear epidemic-opinion model to explore the impacts of the non-pharmaceutical interventions on COVID-19 in human contact network, region traveling network and Chicago transportation network, respectively. It is further validated that the non-pharmacological interventions have a significant positive impact on reducing infection.
期刊介绍:
The proposed journal, called the IEEE Transactions on Network Science and Engineering (TNSE), is committed to timely publishing of peer-reviewed technical articles that deal with the theory and applications of network science and the interconnections among the elements in a system that form a network. In particular, the IEEE Transactions on Network Science and Engineering publishes articles on understanding, prediction, and control of structures and behaviors of networks at the fundamental level. The types of networks covered include physical or engineered networks, information networks, biological networks, semantic networks, economic networks, social networks, and ecological networks. Aimed at discovering common principles that govern network structures, network functionalities and behaviors of networks, the journal seeks articles on understanding, prediction, and control of structures and behaviors of networks. Another trans-disciplinary focus of the IEEE Transactions on Network Science and Engineering is the interactions between and co-evolution of different genres of networks.