{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,10]],"date-time":"2026-07-10T15:14:13Z","timestamp":1783696453865,"version":"3.55.0"},"reference-count":50,"publisher":"Elsevier BV","issue":"7","license":[{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100013069","name":"Leading Talents Program of Guangdong Province","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100013069","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61972237"],"award-info":[{"award-number":["61972237"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62172265"],"award-info":[{"award-number":["62172265"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62276156"],"award-info":[{"award-number":["62276156"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Information Processing & Management"],"published-print":{"date-parts":[[2026,11]]},"DOI":"10.1016\/j.ipm.2026.104868","type":"journal-article","created":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T07:00:51Z","timestamp":1777705251000},"page":"104868","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"PB","title":["Stochastic dynamics of competitive information dissemination in cyber\u2013physical integrated networks"],"prefix":"10.1016","volume":"63","author":[{"ORCID":"https:\/\/orcid.org\/0009-0002-1033-957X","authenticated-orcid":false,"given":"Jing","family":"Chen","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5435-5307","authenticated-orcid":false,"given":"Dianjie","family":"Lu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ren","family":"Han","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jiangang","family":"Shu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0009-1555-8385","authenticated-orcid":false,"given":"Guijuan","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"10.1016\/j.ipm.2026.104868_b1","series-title":"Encyclopedia of measurement and statistics","first-page":"103","article-title":"Bonferroni and \u0160id\u00e1k corrections for multiple comparisons","author":"Abdi","year":"2007"},{"key":"10.1016\/j.ipm.2026.104868_b2","series-title":"Mathematical epidemiology","first-page":"81","article-title":"An introduction to stochastic epidemic models","author":"Allen","year":"2008"},{"issue":"1","key":"10.1016\/j.ipm.2026.104868_b3","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1038\/s41467-019-08746-5","article-title":"Scale-free networks are rare","volume":"10","author":"Broido","year":"2019","journal-title":"Nature Communications"},{"issue":"1","key":"10.1016\/j.ipm.2026.104868_b4","doi-asserted-by":"crossref","first-page":"104","DOI":"10.1109\/TNSM.2022.3209994","article-title":"Optimal control of information diffusion in temporal networks","volume":"20","author":"Chai","year":"2023","journal-title":"IEEE Transactions on Network and Service Management"},{"issue":"12","key":"10.1016\/j.ipm.2026.104868_b5","doi-asserted-by":"crossref","first-page":"8541","DOI":"10.1109\/TKDE.2024.3465241","article-title":"Information cascade popularity prediction via probabilistic diffusion","volume":"36","author":"Cheng","year":"2024","journal-title":"IEEE Transactions on Knowledge and Data Engineering"},{"key":"10.1016\/j.ipm.2026.104868_b6","series-title":"Proceedings of the 17th ACM SIGKDD international conference on knowledge discovery and data mining","first-page":"1082","article-title":"Friendship and mobility: User movement in location-based social networks","author":"Cho","year":"2011"},{"key":"10.1016\/j.ipm.2026.104868_b7","doi-asserted-by":"crossref","first-page":"1","DOI":"10.3389\/fphy.2022.970174","article-title":"Anger can make fake news viral online","volume":"10","author":"Chuai","year":"2022","journal-title":"Frontiers in Physics"},{"issue":"11","key":"10.1016\/j.ipm.2026.104868_b8","doi-asserted-by":"crossref","first-page":"6779","DOI":"10.1109\/TSMC.2019.2963418","article-title":"An efficient hybrid control strategy for restraining rumor spreading","volume":"51","author":"Ding","year":"2021","journal-title":"IEEE Transactions on Systems, Man, and Cybernetics: Systems"},{"issue":"10","key":"10.1016\/j.ipm.2026.104868_b9","doi-asserted-by":"crossref","first-page":"10060","DOI":"10.1109\/TMC.2024.3373622","article-title":"Analyzing information cascading in large scale networks: A fixed point approach","volume":"23","author":"Fu","year":"2024","journal-title":"IEEE Transactions on Mobile Computing"},{"issue":"4","key":"10.1016\/j.ipm.2026.104868_b10","doi-asserted-by":"crossref","DOI":"10.1016\/j.ipm.2023.103386","article-title":"Emergency management through information crowdsourcing","volume":"60","author":"Grassi","year":"2023","journal-title":"Information Processing & Management"},{"issue":"5","key":"10.1016\/j.ipm.2026.104868_b11","doi-asserted-by":"crossref","first-page":"3401","DOI":"10.1109\/TDSC.2021.3095933","article-title":"Enabling privacy-preserving geographic range query in fog-enhanced IoT services","volume":"19","author":"Guo","year":"2022","journal-title":"IEEE Transactions on Dependable and Secure Computing"},{"key":"10.1016\/j.ipm.2026.104868_b12","doi-asserted-by":"crossref","DOI":"10.1016\/j.chaos.2024.115264","article-title":"Impact of positive and negative information on epidemic spread in a three-layer network","volume":"186","author":"Han","year":"2024","journal-title":"Chaos, Solitons & Fractals"},{"issue":"2","key":"10.1016\/j.ipm.2026.104868_b13","doi-asserted-by":"crossref","first-page":"1259","DOI":"10.1109\/TNSE.2020.3034094","article-title":"Behavioral information diffusion for opinion maximization in online social networks","volume":"8","author":"Hudson","year":"2021","journal-title":"IEEE Transactions on Network Science and Engineering"},{"key":"10.1016\/j.ipm.2026.104868_b14","series-title":"Temporal network theory","first-page":"165","article-title":"Bursty time series analysis for temporal networks","author":"Jo","year":"2023"},{"issue":"1","key":"10.1016\/j.ipm.2026.104868_b15","doi-asserted-by":"crossref","first-page":"108","DOI":"10.1016\/j.amc.2009.03.090","article-title":"A comparative study of artificial bee colony algorithm","volume":"214","author":"Karaboga","year":"2009","journal-title":"Applied Mathematics and Computation"},{"issue":"3","key":"10.1016\/j.ipm.2026.104868_b16","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1109\/TIT.1977.1055712","article-title":"A conditional rank test for nonparametric detection","volume":"23","author":"Kassam","year":"1997","journal-title":"Institute of Electrical and Electronics Engineers. Transactions on Information Theory"},{"key":"10.1016\/j.ipm.2026.104868_b17","doi-asserted-by":"crossref","DOI":"10.1016\/j.inffus.2024.102837","article-title":"Social network large-scale group decision-making considering dynamic trust relationships and historical preferences of decision makers in opinion evolution","volume":"117","author":"Li","year":"2025","journal-title":"Information Fusion"},{"issue":"5","key":"10.1016\/j.ipm.2026.104868_b18","doi-asserted-by":"crossref","first-page":"5815","DOI":"10.1109\/TCSS.2024.3385025","article-title":"A malicious information traceability model based on neighborhood similarity and multiple types of interaction","volume":"11","author":"Li","year":"2024","journal-title":"IEEE Transactions on Computational Social Systems"},{"issue":"8","key":"10.1016\/j.ipm.2026.104868_b19","doi-asserted-by":"crossref","first-page":"8768","DOI":"10.1109\/TVT.2022.3146260","article-title":"Influence maximization for emergency information diffusion in social Internet of vehicles","volume":"71","author":"Li","year":"2022","journal-title":"IEEE Transactions on Vehicular Technology"},{"issue":"3","key":"10.1016\/j.ipm.2026.104868_b20","doi-asserted-by":"crossref","DOI":"10.1016\/j.ipm.2023.103621","article-title":"Turing instability analysis of a reaction-diffusion system for rumor propagation in continuous space and complex networks","volume":"61","author":"Li","year":"2024","journal-title":"Information Processing & Management"},{"issue":"4","key":"10.1016\/j.ipm.2026.104868_b21","doi-asserted-by":"crossref","first-page":"1599","DOI":"10.1109\/TKDE.2024.3522114","article-title":"An extensive survey with empirical studies on deep temporal point process","volume":"37","author":"Lin","year":"2025","journal-title":"IEEE Transactions on Knowledge and Data Engineering"},{"issue":"6","key":"10.1016\/j.ipm.2026.104868_b22","doi-asserted-by":"crossref","first-page":"3725","DOI":"10.1109\/TSMC.2019.2930908","article-title":"Dynamic control of fraud information spreading in mobile social networks","volume":"51","author":"Lin","year":"2021","journal-title":"IEEE Transactions on Systems, Man, and Cybernetics: Systems"},{"issue":"6","key":"10.1016\/j.ipm.2026.104868_b23","doi-asserted-by":"crossref","first-page":"2193","DOI":"10.1016\/j.physa.2011.12.004","article-title":"Roulette-wheel selection via stochastic acceptance","volume":"391","author":"Lipowski","year":"2012","journal-title":"Physica A. Statistical Mechanics and its Applications"},{"issue":"1","key":"10.1016\/j.ipm.2026.104868_b24","doi-asserted-by":"crossref","DOI":"10.1016\/j.ipm.2022.103121","article-title":"An efficient smart data mining framework based cloud internet of things for developing artificial intelligence of marketing information analysis","volume":"60","author":"Liu","year":"2023","journal-title":"Information Processing & Management"},{"issue":"3","key":"10.1016\/j.ipm.2026.104868_b25","doi-asserted-by":"crossref","first-page":"1862","DOI":"10.1109\/TSMC.2022.3207319","article-title":"Network immunization strategy by eliminating fringe nodes: A percolation perspective","volume":"53","author":"Liu","year":"2023","journal-title":"IEEE Transactions on Systems, Man, and Cybernetics: Systems"},{"key":"10.1016\/j.ipm.2026.104868_b26","doi-asserted-by":"crossref","first-page":"1510","DOI":"10.1109\/TIFS.2023.3338423","article-title":"Diffusion containment in complex networks through collective influence of connections","volume":"19","author":"Liu","year":"2024","journal-title":"IEEE Transactions on Information Forensics and Security"},{"issue":"6","key":"10.1016\/j.ipm.2026.104868_b27","doi-asserted-by":"crossref","first-page":"1703","DOI":"10.1109\/TCSS.2022.3161252","article-title":"SIRQU: Dynamic quarantine defense model for online rumor propagation control","volume":"9","author":"Liu","year":"2022","journal-title":"IEEE Transactions on Computational Social Systems"},{"issue":"4","key":"10.1016\/j.ipm.2026.104868_b28","doi-asserted-by":"crossref","DOI":"10.1016\/j.ipm.2024.103739","article-title":"Diffusion prediction of competitive information with time-varying attractiveness in social networks","volume":"61","author":"Liu","year":"2024","journal-title":"Information Processing & Management"},{"issue":"3","key":"10.1016\/j.ipm.2026.104868_b29","doi-asserted-by":"crossref","DOI":"10.1016\/j.ipm.2022.102914","article-title":"SecureCPS: Cognitive inspired framework for detection of cyber attacks in cyber-physical systems","volume":"59","author":"Makkar","year":"2022","journal-title":"Information Processing & Management"},{"issue":"3","key":"10.1016\/j.ipm.2026.104868_b30","doi-asserted-by":"crossref","first-page":"4315","DOI":"10.1109\/TCSS.2024.3367385","article-title":"Two-stage information spreading evolution on the control role of announcements","volume":"11","author":"Ren","year":"2024","journal-title":"IEEE Transactions on Computational Social Systems"},{"key":"10.1016\/j.ipm.2026.104868_b31","series-title":"Proceedings of the 2018 world wide web conference","first-page":"419","article-title":"SIR-Hawkes: Linking epidemic models and Hawkes processes to model diffusions in finite populations","author":"Rizoiu","year":"2018"},{"key":"10.1016\/j.ipm.2026.104868_b32","series-title":"Proceedings of the AAAI conference on artificial intelligence","first-page":"1","article-title":"The network data repository with interactive graph analytics and visualization","author":"Rossi","year":"2015"},{"issue":"3","key":"10.1016\/j.ipm.2026.104868_b33","doi-asserted-by":"crossref","DOI":"10.1016\/j.ipm.2024.104016","article-title":"Dynamic analysis of pattern and optimal control research of rumor propagation model on different networks","volume":"62","author":"Sha","year":"2025","journal-title":"Information Processing & Management"},{"issue":"6380","key":"10.1016\/j.ipm.2026.104868_b34","doi-asserted-by":"crossref","first-page":"1146","DOI":"10.1126\/science.aap9559","article-title":"The spread of true and false news online","volume":"359","author":"Vosoughi","year":"2018","journal-title":"Science"},{"issue":"1","key":"10.1016\/j.ipm.2026.104868_b35","doi-asserted-by":"crossref","first-page":"426","DOI":"10.1109\/TNSE.2022.3211988","article-title":"Optimal control for positive and negative information diffusion based on game theory in online social networks","volume":"10","author":"Wan","year":"2023","journal-title":"IEEE Transactions on Network Science and Engineering"},{"issue":"6","key":"10.1016\/j.ipm.2026.104868_b36","doi-asserted-by":"crossref","first-page":"2548","DOI":"10.1109\/TKDE.2019.2954901","article-title":"Intervening coupling diffusion of competitive information in online social networks","volume":"33","author":"Wan","year":"2021","journal-title":"IEEE Transactions on Knowledge and Data Engineering"},{"issue":"4","key":"10.1016\/j.ipm.2026.104868_b37","doi-asserted-by":"crossref","first-page":"5064","DOI":"10.1109\/TNNLS.2022.3207346","article-title":"Deep reinforcement learning: A survey","volume":"35","author":"Wang","year":"2024","journal-title":"IEEE Transactions on Neural Networks and Learning Systems"},{"issue":"1","key":"10.1016\/j.ipm.2026.104868_b38","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1109\/TCYB.2020.2977322","article-title":"An efficient feedback control mechanism for positive\/negative information spread in online social networks","volume":"52","author":"Wang","year":"2022","journal-title":"IEEE Transactions on Cybernetics"},{"issue":"3","key":"10.1016\/j.ipm.2026.104868_b39","first-page":"640","article-title":"A sword with two edges: Propagation studies on both positive and negative information in online social networks","volume":"64","author":"Wen","year":"2015","journal-title":"Institute of Electrical and Electronics Engineers. Transactions on Computers"},{"issue":"1","key":"10.1016\/j.ipm.2026.104868_b40","doi-asserted-by":"crossref","DOI":"10.1016\/j.ipm.2024.103941","article-title":"Exploring the dynamics of group-based internet rumors propagation: A novel model from the perspective of random hypergraphs","volume":"62","author":"Xia","year":"2025","journal-title":"Information Processing & Management"},{"issue":"6","key":"10.1016\/j.ipm.2026.104868_b41","doi-asserted-by":"crossref","first-page":"1038","DOI":"10.1109\/JSAC.2013.130606","article-title":"Conjoining speeds up information diffusion in overlaying social-physical networks","volume":"31","author":"Yagan","year":"2013","journal-title":"IEEE Journal on Selected Areas in Communications"},{"issue":"5","key":"10.1016\/j.ipm.2026.104868_b42","doi-asserted-by":"crossref","DOI":"10.1016\/j.ipm.2023.103438","article-title":"Identifying underlying influential factors in information diffusion process on social media platform: A hybrid approach of data mining and time series regression","volume":"60","author":"Yan","year":"2023","journal-title":"Information Processing & Management"},{"issue":"5","key":"10.1016\/j.ipm.2026.104868_b43","doi-asserted-by":"crossref","first-page":"1183","DOI":"10.1109\/JSAC.2021.3065072","article-title":"Age of information: An introduction and survey","volume":"39","author":"Yates","year":"2021","journal-title":"IEEE Journal on Selected Areas in Communications"},{"issue":"1","key":"10.1016\/j.ipm.2026.104868_b44","doi-asserted-by":"crossref","DOI":"10.1016\/j.jmaa.2023.127273","article-title":"Stability analysis and optimal control of epidemic-like transmission model with nonlinear inhibition mechanism and time delay in both homogeneous and heterogeneous networks","volume":"526","author":"Yuan","year":"2023","journal-title":"Journal of Mathematical Analysis and Applications"},{"issue":"10","key":"10.1016\/j.ipm.2026.104868_b45","first-page":"9888","article-title":"A substrate integrated slot leaky-wave antenna for point-to-point communication","volume":"70","author":"Zhang","year":"2022","journal-title":"Institute of Electrical and Electronics Engineers. Transactions on Antennas and Propagation"},{"issue":"8","key":"10.1016\/j.ipm.2026.104868_b46","doi-asserted-by":"crossref","first-page":"7875","DOI":"10.1109\/TCYB.2021.3052766","article-title":"Emotional contagion in physical-cyber integrated networks: The phase transition perspective","volume":"52","author":"Zhang","year":"2022","journal-title":"IEEE Transactions on Cybernetics"},{"issue":"5","key":"10.1016\/j.ipm.2026.104868_b47","doi-asserted-by":"crossref","first-page":"2170","DOI":"10.1109\/TNNLS.2021.3106777","article-title":"Synergistic integration between machine learning and agent-based modeling: A multidisciplinary review","volume":"34","author":"Zhang","year":"2023","journal-title":"IEEE Transactions on Neural Networks and Learning Systems"},{"issue":"4","key":"10.1016\/j.ipm.2026.104868_b48","doi-asserted-by":"crossref","first-page":"2307","DOI":"10.1109\/TNSE.2023.3245567","article-title":"Cooperation and competition coupled diffusion of multi-feature on multiplex networks and its control","volume":"10","author":"Zhao","year":"2023","journal-title":"IEEE Transactions on Network Science and Engineering"},{"key":"10.1016\/j.ipm.2026.104868_b49","doi-asserted-by":"crossref","DOI":"10.1016\/j.mbs.2024.109340","article-title":"Green behavior propagation analysis based on statistical theory and intelligent algorithm in data-driven environment","volume":"379","author":"Zhu","year":"2025","journal-title":"Mathematical Biosciences"},{"issue":"4","key":"10.1016\/j.ipm.2026.104868_b50","first-page":"797","article-title":"On assessing control actions for epidemic models on temporal networks","volume":"4","author":"Zino","year":"2020","journal-title":"IEEE Control Systems Letters"}],"container-title":["Information Processing & Management"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0306457326002591?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0306457326002591?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,7,10]],"date-time":"2026-07-10T14:34:00Z","timestamp":1783694040000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0306457326002591"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,11]]},"references-count":50,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2026,11]]}},"alternative-id":["S0306457326002591"],"URL":"https:\/\/doi.org\/10.1016\/j.ipm.2026.104868","relation":{},"ISSN":["0306-4573"],"issn-type":[{"value":"0306-4573","type":"print"}],"subject":[],"published":{"date-parts":[[2026,11]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Stochastic dynamics of competitive information dissemination in cyber\u2013physical integrated networks","name":"articletitle","label":"Article Title"},{"value":"Information Processing & Management","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.ipm.2026.104868","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"104868"}}