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The probability of each interaction type is governed by a parameter [Formula: see text], representing the population\u2019s receptiveness to persuasion. We investigate how these interaction dynamics shape the long-term distribution of opinions, examining conditions that promote consensus or polarization. By deriving a system of nonlinear and autonomous ordinary differential equations (ODEs), we provide a rigorous mathematical framework for analyzing the distributional behavior of opinions in large populations. Our findings contribute to a deeper understanding of social influence dynamics and their implications in complex social systems.<\/jats:p>","DOI":"10.1137\/24m1700661","type":"journal-article","created":{"date-parts":[[2025,8,7]],"date-time":"2025-08-07T07:15:55Z","timestamp":1754550955000},"page":"1596-1620","source":"Crossref","is-referenced-by-count":5,"title":["The Iterative Persuasion-Polarization Opinion Dynamics and Its Mean-Field Analysis"],"prefix":"10.1137","volume":"85","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1367-8692","authenticated-orcid":true,"given":"Fei","family":"Cao","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, University of Massachusetts Amherst, Amherst, MA 01003 USA."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Stephanie","family":"Reed","sequence":"additional","affiliation":[{"name":"Department of Mathematics, California State University, Fullerton, Fullerton, CA 92831 USA."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2025,8,7]]},"reference":[{"key":"ref1","volume-title":"Mathematical Models of the Distribution of Attitudes under Controversy","author":"Ableson R. 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