{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T01:57:32Z","timestamp":1760234252385,"version":"build-2065373602"},"reference-count":41,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2021,4,24]],"date-time":"2021-04-24T00:00:00Z","timestamp":1619222400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Social Science Foundation of China","award":["18BJY108"],"award-info":[{"award-number":["18BJY108"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>The successful diffusion of mobile applications in user groups can establish a good image for enterprises, gain a good reputation, fight for market share, and create commercial profits. Thus, it is of great significance for the successful diffusion of mobile applications to study mobile application diffusion and social network coevolution. Firstly, combined with a social network\u2019s dynamic change characteristics in real life, a mobile application users\u2019 social network evolution mechanism was designed. Then, a multi-agent model of the coevolution of a social network and mobile application innovation diffusion was constructed. Finally, the impact of mobile applications\u2019 value perception revenue, use cost, marketing promotion investment, and the number of seed users on the coevolution of social network and mobile application diffusion were analyzed. The results show that factors such as the network structure, the perceived value income, the cost of use, the marketing promotion investment, and the number of seed users have an important impact on mobile application diffusion.<\/jats:p>","DOI":"10.3390\/e23050521","type":"journal-article","created":{"date-parts":[[2021,4,24]],"date-time":"2021-04-24T21:49:20Z","timestamp":1619300960000},"page":"521","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Analyzing the Coevolution of Mobile Application Diffusion and Social Network: A Multi-Agent Model"],"prefix":"10.3390","volume":"23","author":[{"given":"Zhenyu","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Huirong","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Labor Relationship, Shandong Management University, Jinan 250357, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lixin","family":"Zhou","sequence":"additional","affiliation":[{"name":"Business School, University of Shanghai for Science and Technology, Shanghai 200093, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yanfeng","family":"Li","sequence":"additional","affiliation":[{"name":"School of Economics and Management, Tongji University, Shanghai 200092, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,4,24]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"222","DOI":"10.1080\/13504851.2018.1458185","article-title":"Analysing diffusion pattern of mobile application services in Korea using the competitive Bass model and Herfindahl index","volume":"26","author":"Kang","year":"2018","journal-title":"Appl. Econ. Lett."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.physrep.2019.07.001","article-title":"Coevolution spreading in complex networks","volume":"820","author":"Wang","year":"2019","journal-title":"Phys. Rep."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"518","DOI":"10.1016\/j.jclepro.2018.11.028","article-title":"How do low-carbon policies promote green diffusion among alliance-based firms in China? An evolutionary-game model of complex networks","volume":"210","author":"Zhang","year":"2019","journal-title":"J. Clean. Prod."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"8","DOI":"10.1109\/TCSS.2018.2885127","article-title":"Information diffusion nonlinear dynamics modeling and evolution analysis in online social network based on emergency events","volume":"6","author":"Liu","year":"2019","journal-title":"IEEE. Trans. Comput. Soc. Syst."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1016\/j.physa.2016.12.079","article-title":"Coevolving complex networks in the model of social interactions","volume":"471","author":"Raducha","year":"2017","journal-title":"Phys. A Stat. Mech. Appl."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"1091","DOI":"10.1109\/TSP.2020.2970339","article-title":"Prospect Theoretic Utility Based Human Decision Making in Multi-Agent Systems","volume":"68","author":"Geng","year":"2020","journal-title":"IEEE Trans. Sign. Process."},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Zhou, L., Lin, J., Li, Y., and Zhang, Z. (2020). Innovation Diffusion of Mobile Applications in Social Networks: A Mul-ti-Agent System. Sustainability, 12.","DOI":"10.3390\/su12072884"},{"key":"ref_8","unstructured":"Rogers, E.M. (2020). Diffusion of Innovations, Simon and Schuster."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"755","DOI":"10.1016\/j.ijresmar.2016.08.003","article-title":"How word-of-mouth transmission encouragement affects consumers\u2019 transmis-sion decisions, receiver selection, and diffusion speed","volume":"33","author":"Stephen","year":"2016","journal-title":"Int. J. Res. Mark."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1287\/mnsc.15.5.215","article-title":"A New Product Growth for Model Consumer Durables","volume":"15","author":"Bass","year":"1969","journal-title":"Manag. Sci."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1569","DOI":"10.1287\/mnsc.31.12.1569","article-title":"A New Product Adoption Model with Price, Advertising, and Uncertainty","volume":"31","author":"Kalish","year":"1985","journal-title":"Manag. Sci."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1287\/mksc.2.3.273","article-title":"A Nonuniform Influence Innovation Diffusion Model of New Product Acceptance","volume":"2","author":"Easingwood","year":"1983","journal-title":"Mark. Sci."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"824","DOI":"10.1016\/j.physa.2016.06.032","article-title":"Hierarchical Bass model: A product diffusion model considering a diversity of sensitivity to fashion","volume":"461","author":"Tashiro","year":"2016","journal-title":"Phys. A Stat. Mech. Appl."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"296","DOI":"10.1080\/02681102.2017.1289884","article-title":"ICT adoption in Cameroon SME: Application of Bass diffusion model","volume":"23","author":"Ntwoku","year":"2017","journal-title":"Inf. Technol. Dev."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.physrep.2016.07.002","article-title":"Dynamics of information diffusion and its applications on complex networks","volume":"651","author":"Zhang","year":"2016","journal-title":"Phys. Rep."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"751","DOI":"10.1590\/0103-6513.053212","article-title":"Impact of the decision rule in innovation diffusion modeling","volume":"25","author":"Cadavid","year":"2015","journal-title":"Production"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"845","DOI":"10.1057\/jors.2014.12","article-title":"An agent-based model to study the market dynamics of perpetual and subscription licensing","volume":"66","author":"Song","year":"2015","journal-title":"J. Oper. Res. Soc."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1016\/j.ejor.2015.03.008","article-title":"Innovation diffusion of repeat purchase products in a competitive market: An agent-based simulation approach","volume":"245","author":"Stummer","year":"2015","journal-title":"Eur. J. Oper. Res."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1016\/j.ejor.2011.07.040","article-title":"Alternative supply chain production\u2013sales policies for new product diffusion: An agent-based modeling and simulation approach","volume":"216","author":"Amini","year":"2012","journal-title":"Eur. J. Oper. Res."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1007\/s10100-011-0210-y","article-title":"Agent-based simulation of innovation diffusion: A review","volume":"20","author":"Kiesling","year":"2011","journal-title":"Cent. Eur. J. Oper. Res."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1111\/pirs.12069","article-title":"Multi-agent-based simulation on technology innovation-diffusion in China","volume":"93","author":"Wang","year":"2014","journal-title":"Pap. Reg. Sci."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"198","DOI":"10.1109\/TSMC.2014.2339198","article-title":"Diffusion in social networks: A multi-agent perspective","volume":"45","author":"Jiang","year":"2014","journal-title":"IEEE. Trans. Syst. Man Cybern. Syst."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s10462-017-9577-z","article-title":"Empirically grounded agent-based models of innovation diffusion: A critical review","volume":"52","author":"Zhang","year":"2019","journal-title":"Artif. Intell. Rev."},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Liu, F., Brandyberry, A.A., Polites, G., Hogue, M., and Wang, T. (2016, January 5\u20138). A Study of the Effects of Social Factors and Innovation Characteristics on Search Effort and Uncertainty in Mobile App Adoption. Proceedings of the 2016 49th Hawaii International Conference on System Sciences (HICSS), Institute of Electrical and Electronics Engineers (IEEE), Koloa, HI, USA.","DOI":"10.1109\/HICSS.2016.475"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"770","DOI":"10.1080\/10548408.2018.1507866","article-title":"Consumer adoption of the Uber mobile application: Insights from diffusion of innovation theory and technology acceptance model","volume":"36","author":"Min","year":"2019","journal-title":"J. Travel Tour. Mark."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"1059","DOI":"10.1080\/13683500.2015.1043248","article-title":"Goodbye maps, hello apps? Exploring the influential determinants of travel app adoption","volume":"18","author":"Lu","year":"2015","journal-title":"Curr. Issues Tour."},{"key":"ref_27","first-page":"14","article-title":"An integrated perspective of TOE framework and innovation diffusion in broadband mobile applications adoption by enterprises","volume":"6","author":"Chiu","year":"2017","journal-title":"Int. J. Manag. Econ. Soc. Sci. (IJMESS)"},{"key":"ref_28","first-page":"135","article-title":"An Analysis of Non-users of Mobile Healthcare Applications: Based on Diffusion of Innovations Theory","volume":"34","author":"Yi","year":"2017","journal-title":"J. Korean Soc. Inf. Manag."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"170","DOI":"10.1016\/j.indmarman.2008.08.006","article-title":"Role of network structure and network effects in diffusion of innovations","volume":"39","author":"Choi","year":"2010","journal-title":"Ind. Mark. Manag."},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Zhang, Z., Zhao, X., Qin, Y., Si, H., and Zhou, L. (2021). Interval type-2 fuzzy TOPSIS approach with utility theory for subway station operational risk evaluation. J. Ambient. Intell. Humaniz. Comput., 1\u201315.","DOI":"10.1007\/s12652-021-03182-0"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"015002","DOI":"10.1088\/1402-4896\/abc385","article-title":"New distance measures of hesitant fuzzy linguistic term sets","volume":"96","author":"Wu","year":"2020","journal-title":"Phys. Scr."},{"key":"ref_32","doi-asserted-by":"crossref","unstructured":"Zhang, Z., Lin, J., Zhang, H., Wu, S., and Jiang, D. (2020). Hybrid TODIM method for law enforcement possibility evaluation of judgment debtor. Mathematics, 8.","DOI":"10.3390\/math8101806"},{"key":"ref_33","first-page":"1305","article-title":"Coevolve: A joint point process model for information diffusion and network evolution","volume":"18","author":"Farajtabar","year":"2017","journal-title":"J. Mach. Learn. Res."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"405","DOI":"10.1086\/599247","article-title":"Origins of Homophily in an Evolving Social Network","volume":"115","author":"Kossinets","year":"2009","journal-title":"Am. J. Soc."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"52","DOI":"10.1509\/jm.11.0592","article-title":"Dynamic Effects of Social Influence and Direct Marketing on the Adoption of High-Technology Products","volume":"78","author":"Risselada","year":"2014","journal-title":"J. Mark."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"100231","DOI":"10.1109\/ACCESS.2019.2927642","article-title":"Novel Distance and Similarity Measures on Hesitant Fuzzy Linguistic Term Sets and Their Application in Clustering Analysis","volume":"7","author":"Zhang","year":"2019","journal-title":"IEEE Access"},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"2981","DOI":"10.3233\/JIFS-190082","article-title":"Novel distance and similarity measures on hesitant fuzzy linguistic term sets with application to pattern recognition","volume":"37","author":"Zhang","year":"2019","journal-title":"J. Intell. Fuzzy Syst."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1080\/0022250X.2010.532258","article-title":"Self-Organization and Emergence in Social Systems: Modeling the Coevolution of Social Environments and Cooperative Behavior","volume":"35","author":"Helbing","year":"2011","journal-title":"J. Math. Sociol."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1016\/j.techfore.2009.07.001","article-title":"Demand-supply coevolution with multiple increasing returns: Policy analysis for unlocking and system transitions","volume":"77","author":"Bergh","year":"2010","journal-title":"Technol. Forecast. Soc. Chang."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"254","DOI":"10.1016\/j.physa.2013.09.046","article-title":"An agent based multi-optional model for the diffusion of innovations","volume":"394","author":"Laciana","year":"2014","journal-title":"Phys. A Stat. Mech. Appl."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"34","DOI":"10.1140\/epjds\/s13688-018-0161-9","article-title":"Are the different layers of a social network conveying the same information?","volume":"7","author":"Manivannan","year":"2018","journal-title":"EPJ Data Sci."}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/23\/5\/521\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T05:52:20Z","timestamp":1760161940000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/23\/5\/521"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,4,24]]},"references-count":41,"journal-issue":{"issue":"5","published-online":{"date-parts":[[2021,5]]}},"alternative-id":["e23050521"],"URL":"https:\/\/doi.org\/10.3390\/e23050521","relation":{},"ISSN":["1099-4300"],"issn-type":[{"type":"electronic","value":"1099-4300"}],"subject":[],"published":{"date-parts":[[2021,4,24]]}}}