{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,23]],"date-time":"2026-01-23T17:25:53Z","timestamp":1769189153909,"version":"3.49.0"},"reference-count":27,"publisher":"Springer Science and Business Media LLC","issue":"17","license":[{"start":{"date-parts":[[2020,2,3]],"date-time":"2020-02-03T00:00:00Z","timestamp":1580688000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,2,3]],"date-time":"2020-02-03T00:00:00Z","timestamp":1580688000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Science Foundation of China","doi-asserted-by":"crossref","award":["61703355"],"award-info":[{"award-number":["61703355"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Neural Comput &amp; Applic"],"published-print":{"date-parts":[[2020,9]]},"DOI":"10.1007\/s00521-020-04756-3","type":"journal-article","created":{"date-parts":[[2020,2,3]],"date-time":"2020-02-03T17:04:25Z","timestamp":1580749465000},"page":"13491-13504","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Analysis of collective action propagation with multiple recurrences"],"prefix":"10.1007","volume":"32","author":[{"given":"Choujun","family":"Zhan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fujian","family":"Wu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhenhua","family":"Huang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wei","family":"Jiang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qizhi","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2020,2,3]]},"reference":[{"key":"4756_CR1","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.plrev.2015.07.006","volume":"15","author":"Z Wang","year":"2015","unstructured":"Wang Z, Andrews MA, Wu Z-X, Wang L, Bauch CT (2015) Coupled disease-behavior dynamics on complex networks: a review. Phys Life Rev 15:1\u201329","journal-title":"Phys Life Rev"},{"issue":"7039","key":"4756_CR2","doi-asserted-by":"publisher","first-page":"207","DOI":"10.1038\/nature03459","volume":"435","author":"A-L Barabasi","year":"2005","unstructured":"Barabasi A-L (2005) The origin of bursts and heavy tails in human dynamics. Nature 435(7039):207\u2013211","journal-title":"Nature"},{"issue":"22","key":"4756_CR3","doi-asserted-by":"publisher","first-page":"224015","DOI":"10.1088\/1751-8113\/41\/22\/224015","volume":"41","author":"J Candia","year":"2008","unstructured":"Candia J, Gonz\u00e1lez MC, Wang P, Schoenharl T, Madey G, Barab\u00e1si A-L (2008) Uncovering individual and collective human dynamics from mobile phone records. J Phys A Math Theor 41(22):224015","journal-title":"J Phys A Math Theor"},{"key":"4756_CR4","doi-asserted-by":"crossref","unstructured":"Zhao Q, Erdogdu MA, He HY, Rajaraman A, Leskovec J (2015) Seismic: a self-exciting point process model for predicting tweet popularity. In: Proceedings of the 21th ACM SIGKDD international conference on knowledge discovery and data mining. ACM, pp 1513\u20131522","DOI":"10.1145\/2783258.2783401"},{"issue":"3","key":"4756_CR5","doi-asserted-by":"publisher","first-page":"036127","DOI":"10.1103\/PhysRevE.73.036127","volume":"73","author":"A V\u00e1zquez","year":"2006","unstructured":"V\u00e1zquez A, Oliveira JG, Dezs\u00f6 Z, Goh K-I, Kondor I, Barab\u00e1si A-L (2006) Modeling bursts and heavy tails in human dynamics. Phys Rev E 73(3):036127","journal-title":"Phys Rev E"},{"key":"4756_CR6","unstructured":"Althoff T, Jindal P, Leskovec J (2017) Online actions with offline impact: How online social networks influence online and offline user behavior, in: Proceedings of the tenth ACM international conference on web search and data mining, ACM, pp. 537\u2013546"},{"issue":"1","key":"4756_CR7","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1140\/epjds\/s13688-015-0056-y","volume":"4","author":"ZC Steinert-Threlkeld","year":"2015","unstructured":"Steinert-Threlkeld ZC, Mocanu D, Vespignani A, Fowler J (2015) Online social networks and offline protest. EPJ Data Sci 4(1):19","journal-title":"EPJ Data Sci"},{"key":"4756_CR8","unstructured":"Cheng J, Adamic L, Dow PA, Kleinberg JM, Leskovec J (2014) Can cascades be predicted? In: Proceedings of the 23rd international conference on world wide web. ACM, pp 925\u2013936"},{"issue":"1","key":"4756_CR9","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1007\/s11129-011-9105-4","volume":"10","author":"H Yoganarasimhan","year":"2012","unstructured":"Yoganarasimhan H (2012) Impact of social network structure on content propagation: a study using Youtube data. Quant Mark Econ 10(1):111\u2013150","journal-title":"Quant Mark Econ"},{"key":"4756_CR10","doi-asserted-by":"crossref","unstructured":"Brodersen A, Scellato S, Wattenhofer M (2012) Youtube around the world: geographic popularity of videos. In: Proceedings of the 21st international conference on world wide web. ACM, pp 241\u2013250","DOI":"10.1145\/2187836.2187870"},{"issue":"1","key":"4756_CR11","doi-asserted-by":"crossref","first-page":"180","DOI":"10.1287\/mnsc.2015.2158","volume":"62","author":"S Goel","year":"2016","unstructured":"Goel S, Anderson A, Hofman J, Watts DJ (2016) The structural virality of online diffusion. Manage Sci 62(1):180\u2013196","journal-title":"Manage Sci"},{"issue":"2","key":"4756_CR12","doi-asserted-by":"publisher","first-page":"134","DOI":"10.1016\/j.socnet.2010.11.003","volume":"33","author":"JL Iribarren","year":"2011","unstructured":"Iribarren JL, Moro E (2011) Affinity paths and information diffusion in social networks. Soc Netw 33(2):134\u2013142","journal-title":"Soc Netw"},{"key":"4756_CR13","doi-asserted-by":"crossref","unstructured":"Ahmed M, Spagna S, Huici F, Niccolini S (2013) A peek into the future: predicting the evolution of popularity in user generated content. In: Proceedings of the sixth ACM international conference on web search and data mining. ACM, pp 607\u2013616","DOI":"10.1145\/2433396.2433473"},{"key":"4756_CR14","unstructured":"Myers SA, Leskovec J (2014) The bursty dynamics of the twitter information network. In: Proceedings of the 23rd international conference on world wide web. ACM, pp 913\u2013924"},{"key":"4756_CR15","doi-asserted-by":"crossref","unstructured":"Cheng J, Adamic LA, Kleinberg JM, Leskovec J (2016) Do cascades recur? In: Proceedings of the 25th international conference on world wide web, international world wide web conferences steering committee, pp 671\u2013681","DOI":"10.1145\/2872427.2882993"},{"issue":"14","key":"4756_CR16","doi-asserted-by":"publisher","first-page":"3200","DOI":"10.1103\/PhysRevLett.86.3200","volume":"86","author":"R Pastor-Satorras","year":"2001","unstructured":"Pastor-Satorras R, Vespignani A (2001) Epidemic spreading in scale-free networks. Phys Rev Lett 86(14):3200","journal-title":"Phys Rev Lett"},{"issue":"6","key":"4756_CR17","doi-asserted-by":"publisher","first-page":"066117","DOI":"10.1103\/PhysRevE.63.066117","volume":"63","author":"R Pastor-Satorras","year":"2001","unstructured":"Pastor-Satorras R, Vespignani A (2001) Epidemic dynamics and endemic states in complex networks. Phys Rev E 63(6):066117","journal-title":"Phys Rev E"},{"key":"4756_CR18","unstructured":"Yu H, Xie L, Sanner S et al (2015) The lifecyle of a Youtube video: phases, content and popularity. In: ICWSM, pp 533\u2013542"},{"issue":"40","key":"4756_CR19","doi-asserted-by":"publisher","first-page":"14333","DOI":"10.1073\/pnas.0405728101","volume":"101","author":"J-P Eckmann","year":"2004","unstructured":"Eckmann J-P, Moses E, Sergi D (2004) Entropy of dialogues creates coherent structures in e-mail traffic. Proc Natl Acad Sci USA 101(40):14333\u201314337","journal-title":"Proc Natl Acad Sci USA"},{"issue":"3","key":"4756_CR20","doi-asserted-by":"publisher","first-page":"035108","DOI":"10.1103\/PhysRevE.65.035108","volume":"65","author":"R Pastor-Satorras","year":"2002","unstructured":"Pastor-Satorras R, Vespignani A (2002) Epidemic dynamics in finite size scale-free networks. Phys Rev E 65(3):035108","journal-title":"Phys Rev E"},{"issue":"2","key":"4756_CR21","doi-asserted-by":"publisher","first-page":"028701","DOI":"10.1103\/PhysRevLett.90.028701","volume":"90","author":"M Bogun\u00e1","year":"2003","unstructured":"Bogun\u00e1 M, Pastor-Satorras R, Vespignani A (2003) Absence of epidemic threshold in scale-free networks with degree correlations. Phys Rev Lett 90(2):028701","journal-title":"Phys Rev Lett"},{"issue":"6","key":"4756_CR22","doi-asserted-by":"publisher","first-page":"066130","DOI":"10.1103\/PhysRevE.69.066130","volume":"69","author":"Y Moreno","year":"2004","unstructured":"Moreno Y, Nekovee M, Pacheco AF (2004) Dynamics of rumor spreading in complex networks. Phys Rev E 69(6):066130","journal-title":"Phys Rev E"},{"key":"4756_CR23","doi-asserted-by":"crossref","unstructured":"Wang Y, Chakrabarti D, Wang C, Faloutsos C (2003) Epidemic spreading in real networks: an eigenvalue viewpoint. In: Proceedings of the 22nd international symposium on reliable distributed systems, 2003. IEEE, pp 25\u201334","DOI":"10.1109\/RELDIS.2003.1238052"},{"issue":"20","key":"4756_CR24","doi-asserted-by":"publisher","first-page":"208701","DOI":"10.1103\/PhysRevLett.96.208701","volume":"96","author":"T Gross","year":"2006","unstructured":"Gross T, D\u2019Lima CJD, Blasius B (2006) Epidemic dynamics on an adaptive network. Phys Rev Lett 96(20):208701","journal-title":"Phys Rev Lett"},{"issue":"7","key":"4756_CR25","doi-asserted-by":"publisher","first-page":"2015","DOI":"10.1073\/pnas.0510525103","volume":"103","author":"V Colizza","year":"2006","unstructured":"Colizza V, Barrat A, Barth\u00e9lemy M, Vespignani A (2006) The role of the airline transportation network in the prediction and predictability of global epidemics. Proc Natl Acad Sci USA 103(7):2015\u20132020","journal-title":"Proc Natl Acad Sci USA"},{"key":"4756_CR26","doi-asserted-by":"crossref","unstructured":"Lee JG, Moon S, Salamatian K (2010) An approach to model and predict the popularity of online contents with explanatory factors. In: 2010 IEEE\/WIC\/ACM international conference on web intelligence and intelligent agent technology (WI-IAT), vol 1. IEEE, pp 623\u2013630","DOI":"10.1109\/WI-IAT.2010.209"},{"issue":"6","key":"4756_CR27","doi-asserted-by":"publisher","first-page":"1066","DOI":"10.1109\/TCBB.2014.2322360","volume":"11","author":"C Zhan","year":"2014","unstructured":"Zhan C, Situ W, Yeung LF, Tsang PW-M, Yang G (2014) A parameter estimation method for biological systems modelled by ODE\/DDE models using spline approximation and differential evolution algorithm. IEEE\/ACM Trans Comput Biol Bioinform (TCBB) 11(6):1066\u20131076","journal-title":"IEEE\/ACM Trans Comput Biol Bioinform (TCBB)"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-020-04756-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00521-020-04756-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-020-04756-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,10,14]],"date-time":"2022-10-14T05:17:29Z","timestamp":1665724649000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00521-020-04756-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,2,3]]},"references-count":27,"journal-issue":{"issue":"17","published-print":{"date-parts":[[2020,9]]}},"alternative-id":["4756"],"URL":"https:\/\/doi.org\/10.1007\/s00521-020-04756-3","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"value":"0941-0643","type":"print"},{"value":"1433-3058","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,2,3]]},"assertion":[{"value":"21 August 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 January 2020","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 February 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Compliance with ethical standards"}},{"value":"We declare that we have no affiliations with or involvement in any organization or entity with any financial interest (such as honoraria; educational grants; participation in speakers\u2019 bureaus; membership, employment, consultancies, stock ownership, or other equity interest, and expert testimony or patent-licensing arrangements), or non-financial interest (such as personal or professional relationships, affiliations, knowledge or beliefs) in the subject matter or materials discussed in this manuscript.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}