{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T02:37:39Z","timestamp":1747190259907,"version":"3.40.5"},"reference-count":33,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,8,24]],"date-time":"2020-08-24T00:00:00Z","timestamp":1598227200000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100012166","name":"National Key Research and Development Program of China","doi-asserted-by":"crossref","award":["2018YFC0831300"],"award-info":[{"award-number":["2018YFC0831300"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2020,8,24]]},"abstract":"<jats:p>The opinion dynamics is a complex and interesting process, especially for the systems with a large number of individuals. It is usually hard to describe the evolutionary features of these systems. In some previous works, it has been shown that the self-excitation type model has superior performance in learning and predicting opinions. Following this line, we consider the self-excitation opinion model and study the collective behaviors of the self-excitation model. We propose a Mckean\u2013Vlasov-type integrodifferential equation to describe the asymptotic behaviors of the model and show that the introduced equation, by coupling with the initial distribution, has the ability of capturing the influence of the self-excitation process, which describes the mutually exciting and recurrent nature of individuals. We also find that the steady-state distribution is a \u201ccontraction\u201d of the initial distribution in the linear and bounded confidence (DW model) interaction cases, which is different from the results of the model with nonself-excitation interaction.<\/jats:p>","DOI":"10.1155\/2020\/1861583","type":"journal-article","created":{"date-parts":[[2020,8,24]],"date-time":"2020-08-24T23:30:58Z","timestamp":1598311858000},"page":"1-14","source":"Crossref","is-referenced-by-count":1,"title":["The Collective Behaviors of Self-Excitation Information Diffusion Processes for a Large Number of Individuals"],"prefix":"10.1155","volume":"2020","author":[{"given":"Lifu","family":"Wang","sequence":"first","affiliation":[{"name":"Department of Electronic and Information Engineering, Beijing Jiaotong University, Beijing, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1040-1575","authenticated-orcid":true,"given":"Bo","family":"Shen","sequence":"additional","affiliation":[{"name":"China Key Laboratory of Communication and Information Systems, Beijing Municipal Commission of Education Beijing Jiaotong University, Beijing, China"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1177\/0263276415583139"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1177\/0894439314521983"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1142\/s0129183100000936"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1007\/s10614-005-6296-3"},{"issue":"3","key":"5","first-page":"2","volume":"5","year":"2002","journal-title":"Journal of Artificial Societies & Social Simulation"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1002\/cplx.10031"},{"year":"2015","key":"9"},{"key":"13","first-page":"1645","volume-title":"Predicting user activity level in point processes with mass transport equation","volume":"30","year":"2017"},{"first-page":"42","volume-title":"Asymptotic behaviour of some interacting particle systems; 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