{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,18]],"date-time":"2025-12-18T13:40:01Z","timestamp":1766065201639,"version":"3.40.5"},"reference-count":46,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,11,27]],"date-time":"2020-11-27T00:00:00Z","timestamp":1606435200000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Key Research and Development Program of China","award":["2017YFC-0803903"],"award-info":[{"award-number":["2017YFC-0803903"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2020,11,27]]},"abstract":"<jats:p>Previous studies revealed that the susceptibility, contacting preference, and recovery probability markedly alter the epidemic outbreak size and threshold. The recovery probability of an infected node is closely related to its obtained resources. How to allocate limited resources to infected neighbors is extremely important for containing the epidemic spreading on complex networks. In this paper, we proposed an epidemic spreading model on complex networks, in which we assume that the node has heterogeneous susceptibility and contacting preference, and susceptible nodes are willing to share their resources to neighbors. Through a developed heterogeneous mean-field theory and a large number of numerical simulations, we find that the recovered nodes provide resources uniformly to their infected neighbor nodes, and the epidemic spreading can be suppressed optimally on homogeneous and heterogeneous networks. Besides, altering the susceptibility and contacting preference does not qualitatively change the results. The susceptibility of the node decreases, which makes the outbreak threshold of epidemic spreading increase, and the outbreak size decreases. Our theory agrees well with the numerical simulations.<\/jats:p>","DOI":"10.1155\/2020\/5409401","type":"journal-article","created":{"date-parts":[[2020,11,30]],"date-time":"2020-11-30T13:35:15Z","timestamp":1606743315000},"page":"1-13","source":"Crossref","is-referenced-by-count":1,"title":["Containing Epidemic Spreading on Networks with Neighbor Resource Supporting"],"prefix":"10.1155","volume":"2020","author":[{"given":"Chengcheng","family":"Song","sequence":"first","affiliation":[{"name":"Beijing Key Laboratory of Traffic Engineering, Beijing University of Technology, Beijing 100124, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7068-4669","authenticated-orcid":true,"given":"Yanyan","family":"Chen","sequence":"additional","affiliation":[{"name":"Beijing Key Laboratory of Traffic Engineering, Beijing University of Technology, Beijing 100124, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7019-9321","authenticated-orcid":true,"given":"Ning","family":"Chen","sequence":"additional","affiliation":[{"name":"Beijing Key Laboratory of Traffic Engineering, Beijing University of Technology, Beijing 100124, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhuo","family":"Liu","sequence":"additional","affiliation":[{"name":"Beijing Key Laboratory of Traffic Engineering, Beijing University of Technology, Beijing 100124, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xuzhen","family":"Zhu","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wei","family":"Wang","sequence":"additional","affiliation":[{"name":"Cybersecurity Research Institute, Sichuan University, Chengdu 610065, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1103\/revmodphys.87.925"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1103\/revmodphys.81.591"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1109\/INFCOM.2003.1209209"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1063\/1.5093047"},{"first-page":"196","article-title":"Malware propagation in online social networks: nature, dynamics, and defense implications","author":"G. 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