{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,18]],"date-time":"2026-01-18T08:38:58Z","timestamp":1768725538661,"version":"3.49.0"},"reference-count":21,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2019,10,12]],"date-time":"2019-10-12T00:00:00Z","timestamp":1570838400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,10,12]],"date-time":"2019-10-12T00:00:00Z","timestamp":1570838400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Supercomput"],"published-print":{"date-parts":[[2020,3]]},"DOI":"10.1007\/s11227-019-03020-3","type":"journal-article","created":{"date-parts":[[2019,10,12]],"date-time":"2019-10-12T14:03:38Z","timestamp":1570889018000},"page":"1657-1679","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["A two-layer SIR information propagation model with heterogeneity based on coupled network"],"prefix":"10.1007","volume":"76","author":[{"given":"Tongrang","family":"Fan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wanting","family":"Qin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wenbin","family":"Zhao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Feng","family":"Wu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jianmin","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,10,12]]},"reference":[{"key":"3020_CR1","first-page":"122","volume":"1","author":"S Lao","year":"2016","unstructured":"Lao S, Wang J, Bai L (2016) Review of the interdependent networks. J Natl Univ Def Technol 1:122\u2013128","journal-title":"J Natl Univ Def Technol"},{"issue":"02","key":"3020_CR2","first-page":"103","volume":"12","author":"X Zhang","year":"2015","unstructured":"Zhang X (2015) Multilayer networks science: concepts, theories and data. Complex Syst Complex Sci 12(02):103\u2013107","journal-title":"Complex Syst Complex Sci"},{"issue":"02","key":"3020_CR3","first-page":"350","volume":"53","author":"Z Liu","year":"2017","unstructured":"Liu Z, Zhao S, Chen J, Zhang Y, Chen X (2017) A novel immune strategy based on node importance. J Nanjing Univ (Natural Sciences) 53(02):350\u2013356","journal-title":"J Nanjing Univ (Natural Sciences)"},{"issue":"7291","key":"3020_CR4","doi-asserted-by":"publisher","first-page":"1025","DOI":"10.1038\/nature08932","volume":"464","author":"SV Buldyrev","year":"2010","unstructured":"Buldyrev SV, Havlin S, Parshani R et al (2010) Catastrophic cascade of failures in interdependent networks. Nature 464(7291):1025","journal-title":"Nature"},{"issue":"11","key":"3020_CR5","doi-asserted-by":"publisher","first-page":"e112018","DOI":"10.1371\/journal.pone.0112018","volume":"9","author":"D Zhao","year":"2014","unstructured":"Zhao D, Wang L, Li S et al (2014) Immunization of epidemics in multiplex networks. PLoS ONE 9(11):e112018\u2013e112018","journal-title":"PLoS ONE"},{"issue":"2","key":"3020_CR6","first-page":"1380","volume":"85","author":"M Dickison","year":"2012","unstructured":"Dickison M, Havlin S, Stanley HE (2012) Epidemics on interconnected networks. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Top 85(2):1380\u20131404","journal-title":"Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Top"},{"key":"3020_CR7","first-page":"1","volume":"2015","author":"Y Zhang","year":"2015","unstructured":"Zhang Y, Xu J (2015) A rumor spreading model considering the cumulative effects of memory. Discrete Dyn Nat Soc 2015:1\u201311","journal-title":"Discrete Dyn Nat Soc"},{"key":"3020_CR8","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1016\/j.physa.2013.12.031","volume":"399","author":"Y Du","year":"2014","unstructured":"Du Y, Gao C, Hu Y et al (2014) A new method of identifying influential nodes in complex networks based on TOPSIS. Phys A: Stat Mech Appl 399:57\u201369","journal-title":"Phys A: Stat Mech Appl"},{"issue":"2","key":"3020_CR9","first-page":"60","volume":"42","author":"L Qin","year":"2015","unstructured":"Qin L, Yang Z-L, Huang S-G (2015) Synthesis evaluation method for node importance in complex networks. Comput Sci 42(2):60\u201364","journal-title":"Comput Sci"},{"issue":"6","key":"3020_CR10","first-page":"1298","volume":"39","author":"H Han","year":"2017","unstructured":"Han H, Yang R, Wang Z (2017) Risk propagation model of two-layer coupled networks under protection strategy. Syst Eng Electron 39(6):1298\u20131303","journal-title":"Syst Eng Electron"},{"issue":"06","key":"3020_CR11","first-page":"1742","volume":"35","author":"J Wang","year":"2018","unstructured":"Wang J, Shi L, Wang Z (2018) Research on node importance ranking of multilayer network. Appl Res Comput 35(06):1742\u20131746","journal-title":"Appl Res Comput"},{"issue":"1","key":"3020_CR12","first-page":"76","volume":"28","author":"G Wang","year":"2019","unstructured":"Wang G (2019) Small objects detection based on multi-scale feature fusion. Acta Microscopica 28(1):76\u201381","journal-title":"Acta Microscopica"},{"issue":"4","key":"3020_CR13","first-page":"131","volume":"16","author":"W Du","year":"2016","unstructured":"Du W, Li Y-Z, An X, Ma C-X (2016) A new class of two layers public traffic coupled network model. J Transp Syst Eng Inf Technol 16(4):131\u2013138","journal-title":"J Transp Syst Eng Inf Technol"},{"key":"3020_CR14","first-page":"122","volume":"1","author":"LS Yang","year":"2016","unstructured":"Yang LS, Junde W, Liang B (2016) Review of interdependent networks. J Natl Univ Def Technol 1:122\u2013128","journal-title":"J Natl Univ Def Technol"},{"key":"3020_CR15","doi-asserted-by":"crossref","unstructured":"Qin W, Fan T (2017) Modeling and analysis of information propagation model of online\/offline network based on coupled network. In: Proceedings of Conference on Chinese Conference on Trusted Computing and Information Security, pp 16\u201325","DOI":"10.1007\/978-981-10-7080-8_2"},{"issue":"13","key":"3020_CR16","first-page":"1","volume":"46","author":"J Zeng","year":"2016","unstructured":"Zeng J, Yang J, Chen Q (2016) Behavior of individual differences in human knowledge creation in the open source software community. Math Pract Theory 46(13):1\u201314","journal-title":"Math Pract Theory"},{"issue":"6","key":"3020_CR17","doi-asserted-by":"publisher","first-page":"1569","DOI":"10.1007\/s10955-014-0924-z","volume":"154","author":"ZQ Zhu","year":"2014","unstructured":"Zhu ZQ, Liu CJ, Wu JL et al (2014) The influence of human heterogeneity to information spreading. J Stat Phys 154(6):1569\u20131577","journal-title":"J Stat Phys"},{"issue":"02","key":"3020_CR18","first-page":"90","volume":"31","author":"Z Zhang","year":"2014","unstructured":"Zhang Z, Fan T (2014) Methods with immunization strategies popularity and node heterogeneity. J Hebei Acad Sci 31(02):90\u201393","journal-title":"J Hebei Acad Sci"},{"issue":"4","key":"3020_CR19","doi-asserted-by":"publisher","first-page":"2759","DOI":"10.1007\/s11277-018-5301-9","volume":"102","author":"W Zhao","year":"2018","unstructured":"Zhao W, Fan T, Nie Y, Wu F, Wen H (2018) Research on attribute dimension partition based on SVM classifying and MapReduce. Wirel Pers Commun 102(4):2759\u20132774","journal-title":"Wirel Pers Commun"},{"key":"3020_CR20","doi-asserted-by":"publisher","DOI":"10.1177\/1550147719842158","author":"W Zhao","year":"2019","unstructured":"Zhao W, Yin Z, Fan T, Luo J (2019) Research on influence spread of scientific research team based on scientific factor quantification of big data. Int J Distrib Sens Netw. \nhttps:\/\/doi.org\/10.1177\/1550147719842158","journal-title":"Int J Distrib Sens Netw"},{"issue":"1","key":"3020_CR21","first-page":"83","volume":"1","author":"TL Saaty","year":"2008","unstructured":"Saaty TL (2008) Decision making with the analytic hierarchy process. Int J Serv Sci 1(1):83\u201398","journal-title":"Int J Serv Sci"}],"container-title":["The Journal of Supercomputing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11227-019-03020-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11227-019-03020-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11227-019-03020-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,10,10]],"date-time":"2020-10-10T23:36:26Z","timestamp":1602372986000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11227-019-03020-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,10,12]]},"references-count":21,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2020,3]]}},"alternative-id":["3020"],"URL":"https:\/\/doi.org\/10.1007\/s11227-019-03020-3","relation":{},"ISSN":["0920-8542","1573-0484"],"issn-type":[{"value":"0920-8542","type":"print"},{"value":"1573-0484","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,10,12]]},"assertion":[{"value":"12 October 2019","order":1,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}