{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:38Z","timestamp":1740134558380,"version":"3.37.3"},"reference-count":29,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11171314","11201434","2012011002-1","2010-074"],"award-info":[{"award-number":["11171314","11201434","2012011002-1","2010-074"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100007515","name":"National Natural Science Foundation for Youths","doi-asserted-by":"crossref","award":["11171314","11201434","2012011002-1","2010-074"],"award-info":[{"award-number":["11171314","11201434","2012011002-1","2010-074"]}],"id":[{"id":"10.13039\/100007515","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100004480","name":"Shanxi Province Natural Science Foundation","doi-asserted-by":"crossref","award":["11171314","11201434","2012011002-1","2010-074"],"award-info":[{"award-number":["11171314","11201434","2012011002-1","2010-074"]}],"id":[{"id":"10.13039\/501100004480","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Scientific Research Item for the Returned Overseas Chinese Scholars of Shanxi Province","award":["11171314","11201434","2012011002-1","2010-074"],"award-info":[{"award-number":["11171314","11201434","2012011002-1","2010-074"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>We present a heterogeneous networks model with the awareness stage and the decision-making stage to explain the process of new products diffusion. If mass media is neglected in the decision-making stage, there is a threshold whether the innovation diffusion is successful or not, or else it is proved that the network model has at least one positive equilibrium. For networks with the power-law degree distribution, numerical simulations confirm analytical results, and also at the same time, by numerical analysis of the influence of the network structure and persuasive advertisements on the density of adopters, we give two different products propagation strategies for two classes of nodes in scale-free networks.<\/jats:p>","DOI":"10.1155\/2014\/940623","type":"journal-article","created":{"date-parts":[[2014,5,28]],"date-time":"2014-05-28T17:15:37Z","timestamp":1401297337000},"page":"1-12","source":"Crossref","is-referenced-by-count":10,"title":["Modeling and Analysis of New Products Diffusion on Heterogeneous Networks"],"prefix":"10.1155","volume":"2014","author":[{"given":"Shuping","family":"Li","sequence":"first","affiliation":[{"name":"School of Mechatronic Engineering, North University of China, Taiyuan, Shan\u2019xi 030051, China"},{"name":"Department of Mathematics, North University of China, Taiyuan, Shan\u2019xi 030051, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhen","family":"Jin","sequence":"additional","affiliation":[{"name":"Department of Mathematics, North University of China, Taiyuan, Shan\u2019xi 030051, China"},{"name":"Complex Systems Research Center, Shanxi University, Taiyuan, Shan\u2019xi 030006, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"doi-asserted-by":"publisher","key":"1","DOI":"10.1287\/mnsc.1040.0264"},{"key":"2","doi-asserted-by":"crossref","first-page":"1389","DOI":"10.1287\/mnsc.30.12.1389","volume":"30","year":"1984","journal-title":"Management Science"},{"year":"1985","key":"3"},{"key":"4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1177\/002224299005400301","volume":"54","year":"1990","journal-title":"Journal of Marketing"},{"doi-asserted-by":"publisher","key":"5","DOI":"10.1016\/S0898-1221(03)90184-2"},{"doi-asserted-by":"publisher","key":"6","DOI":"10.1016\/j.aml.2005.11.028"},{"doi-asserted-by":"publisher","key":"7","DOI":"10.1016\/j.ejor.2010.09.005"},{"doi-asserted-by":"publisher","key":"8","DOI":"10.1016\/S0096-3003(01)00268-5"},{"doi-asserted-by":"publisher","key":"9","DOI":"10.1016\/j.apm.2005.03.011"},{"doi-asserted-by":"publisher","key":"10","DOI":"10.1155\/2013\/158901"},{"doi-asserted-by":"publisher","key":"11","DOI":"10.1103\/PhysRevLett.86.3200"},{"doi-asserted-by":"publisher","key":"12","DOI":"10.1103\/PhysRevE.65.035108"},{"doi-asserted-by":"publisher","key":"13","DOI":"10.1103\/PhysRevE.77.036113"},{"doi-asserted-by":"publisher","key":"14","DOI":"10.1016\/j.physa.2007.04.034"},{"doi-asserted-by":"publisher","key":"15","DOI":"10.1103\/PhysRevE.74.056109"},{"doi-asserted-by":"publisher","key":"16","DOI":"10.1103\/PhysRevE.69.066105"},{"doi-asserted-by":"publisher","key":"17","DOI":"10.1016\/j.na.2008.04.031"},{"doi-asserted-by":"publisher","key":"18","DOI":"10.1007\/978-3-540-44943-0_8"},{"doi-asserted-by":"publisher","key":"19","DOI":"10.1016\/j.geb.2007.08.001"},{"doi-asserted-by":"publisher","key":"20","DOI":"10.1016\/j.eswa.2010.12.024"},{"key":"21","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1007\/BF01695169","volume":"1","year":"1967","journal-title":"Mathematical Systems Theory"},{"doi-asserted-by":"publisher","key":"22","DOI":"10.1016\/0025-5564(76)90125-5"},{"issue":"4","key":"23","first-page":"389","volume":"7","year":"2003","journal-title":"International Journal of Pure and Applied Mathematics"},{"key":"24","doi-asserted-by":"crossref","first-page":"1079","DOI":"10.1080\/00018730110112519","volume":"51","year":"2002","journal-title":"Advances in Physics"},{"doi-asserted-by":"publisher","key":"25","DOI":"10.1137\/S003614450342480"},{"year":"2006","key":"26"},{"key":"27","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1002\/rsa.3240060204","volume":"6","year":"1995","journal-title":"Random Structures and Algorithms"},{"doi-asserted-by":"publisher","key":"28","DOI":"10.1017\/S0963548398003526"},{"issue":"2","key":"29","volume":"64","year":"2001","journal-title":"Physical Review E"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/940623.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/940623.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/940623.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,10]],"date-time":"2019-08-10T23:17:27Z","timestamp":1565479047000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/940623\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":29,"alternative-id":["940623","940623"],"URL":"https:\/\/doi.org\/10.1155\/2014\/940623","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2014]]}}}