{"title":"具有控制器代理的谣言传播动力学","authors":"Hossein Fazli, H. Ebadizadeh","doi":"10.1080/1726037X.2019.1614248","DOIUrl":null,"url":null,"abstract":"ABSTRACT In this paper, a new rumor spreading model, Ignorant-SpreaderStifler-Controller (ISRC) model, is developed. The model extends the classical Ignorant-Spreader-Stifler (ISR) rumor spreading model by adding a new kind of people that spread a new rumor against previous rumor to control and reduce the maximum rumor influence. We derive a dynamical system that describe the dynamics of the ISRC model. Beside the dynamical analysis of the model, we consider asymptotical stability in equilibrium point. Numerical simulations are also conducted to support our analytic results.","PeriodicalId":42788,"journal":{"name":"Journal of Dynamical Systems and Geometric Theories","volume":"17 1","pages":"61 - 70"},"PeriodicalIF":0.4000,"publicationDate":"2019-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/1726037X.2019.1614248","citationCount":"5","resultStr":"{\"title\":\"Dynamics of Rumor Spreading With a Controller Agent\",\"authors\":\"Hossein Fazli, H. Ebadizadeh\",\"doi\":\"10.1080/1726037X.2019.1614248\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"ABSTRACT In this paper, a new rumor spreading model, Ignorant-SpreaderStifler-Controller (ISRC) model, is developed. The model extends the classical Ignorant-Spreader-Stifler (ISR) rumor spreading model by adding a new kind of people that spread a new rumor against previous rumor to control and reduce the maximum rumor influence. We derive a dynamical system that describe the dynamics of the ISRC model. Beside the dynamical analysis of the model, we consider asymptotical stability in equilibrium point. Numerical simulations are also conducted to support our analytic results.\",\"PeriodicalId\":42788,\"journal\":{\"name\":\"Journal of Dynamical Systems and Geometric Theories\",\"volume\":\"17 1\",\"pages\":\"61 - 70\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2019-01-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1080/1726037X.2019.1614248\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Dynamical Systems and Geometric Theories\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/1726037X.2019.1614248\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Dynamical Systems and Geometric Theories","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/1726037X.2019.1614248","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Dynamics of Rumor Spreading With a Controller Agent
ABSTRACT In this paper, a new rumor spreading model, Ignorant-SpreaderStifler-Controller (ISRC) model, is developed. The model extends the classical Ignorant-Spreader-Stifler (ISR) rumor spreading model by adding a new kind of people that spread a new rumor against previous rumor to control and reduce the maximum rumor influence. We derive a dynamical system that describe the dynamics of the ISRC model. Beside the dynamical analysis of the model, we consider asymptotical stability in equilibrium point. Numerical simulations are also conducted to support our analytic results.