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A rumor transmission model with various contact interactions |
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| Authors: | Kawachi Kazuki Seki Motohide Yoshida Hiraku Otake Yohei Warashina Katsuhide Ueda Hiroshi |
| Institution: | a Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba Meguro-ku, Tokyo 153-8914, Japan b Graduate School of Environmental Science, Okayama University, 3-1-1 Naka Tsushima, Okayama 700-8530, Japan c Graduate School of Information Science and Technology, The University of Tokyo, 3-8-1 Komaba Meguro-ku, Tokyo 153-8914, Japan d Knowledge Science, Japan Advanced Institute of Science and Technology, 1-1 Asahidai Nomi, Ishikawa 923-1211, Japan e Library and Information Technology Center, Gunma University, 4-2 Aramaki-machi, Maebashi 371-8510, Japan |
| Abstract: | We consider a rumor transmission model with various contact interactions and explore what effect such interactions have on the spread of a rumor, in particular whether they can explain the rumor recursion. Through mathematical analysis and computer simulations, we conjecture that rumor recursion remains a major challenge to mathematical models of rumors beyond our model proposed here. |
| Keywords: | Social contagion process Recursive rumor Ordinary differential system Cellular automata models |
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