{"id":"https://openalex.org/W3040250066","doi":"https://doi.org/10.1155/2020/5686413","title":"Differential Games of Rechargeable Wireless Sensor Networks against Malicious Programs Based on SILRD Propagation Model","display_name":"Differential Games of Rechargeable Wireless Sensor Networks against Malicious Programs Based on SILRD Propagation Model","publication_year":2020,"publication_date":"2020-07-03","ids":{"openalex":"https://openalex.org/W3040250066","doi":"https://doi.org/10.1155/2020/5686413","mag":"3040250066"},"language":"en","primary_location":{"id":"doi:10.1155/2020/5686413","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/5686413","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/5686413.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2020/5686413.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076706292","display_name":"Guiyun Liu","orcid":"https://orcid.org/0000-0002-4830-8878"},"institutions":[{"id":"https://openalex.org/I37987034","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I37987034"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guiyun Liu","raw_affiliation_strings":["School of Mechanical and Electric Engineering, Guangzhou University, Guangzhou 510006, China"],"affiliations":[{"raw_affiliation_string":"School of Mechanical and Electric Engineering, Guangzhou University, Guangzhou 510006, China","institution_ids":["https://openalex.org/I37987034"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033744433","display_name":"Baihao Peng","orcid":"https://orcid.org/0000-0002-1280-1951"},"institutions":[{"id":"https://openalex.org/I37987034","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I37987034"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Baihao Peng","raw_affiliation_strings":["School of Mechanical and Electric Engineering, Guangzhou University, Guangzhou 510006, China"],"affiliations":[{"raw_affiliation_string":"School of Mechanical and Electric Engineering, Guangzhou University, Guangzhou 510006, China","institution_ids":["https://openalex.org/I37987034"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074112740","display_name":"Xiaojing Zhong","orcid":"https://orcid.org/0000-0002-7467-031X"},"institutions":[{"id":"https://openalex.org/I37987034","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I37987034"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaojing Zhong","raw_affiliation_strings":["School of Mechanical and Electric Engineering, Guangzhou University, Guangzhou 510006, China"],"affiliations":[{"raw_affiliation_string":"School of Mechanical and Electric Engineering, Guangzhou University, Guangzhou 510006, China","institution_ids":["https://openalex.org/I37987034"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088201754","display_name":"Xuejing Lan","orcid":"https://orcid.org/0000-0003-0938-9879"},"institutions":[{"id":"https://openalex.org/I37987034","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I37987034"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuejing Lan","raw_affiliation_strings":["School of Mechanical and Electric Engineering, Guangzhou University, Guangzhou 510006, China"],"affiliations":[{"raw_affiliation_string":"School of Mechanical and Electric Engineering, Guangzhou University, Guangzhou 510006, China","institution_ids":["https://openalex.org/I37987034"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5033744433"],"corresponding_institution_ids":["https://openalex.org/I37987034"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":2.1025,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.87983121,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"2020","issue":null,"first_page":"1","last_page":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10080","display_name":"Energy Efficient Wireless Sensor Networks","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10080","display_name":"Energy Efficient Wireless Sensor Networks","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11498","display_name":"Security in Wireless Sensor Networks","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9890999794006348,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/pontryagins-minimum-principle","display_name":"Pontryagin's minimum principle","score":0.6773937940597534},{"id":"https://openalex.org/keywords/wireless-sensor-network","display_name":"Wireless sensor network","score":0.6723203659057617},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6595837473869324},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.5759420990943909},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.5759034156799316},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.48098647594451904},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4589124917984009},{"id":"https://openalex.org/keywords/maximum-principle","display_name":"Maximum principle","score":0.44539809226989746},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4421558678150177},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.43799135088920593},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.4125874936580658},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4071667194366455},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.39472126960754395},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.35576945543289185},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.2703069746494293},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1473202109336853},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.13922908902168274},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1240149438381195},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12365254759788513}],"concepts":[{"id":"https://openalex.org/C141803461","wikidata":"https://www.wikidata.org/wiki/Q3491629","display_name":"Pontryagin's minimum principle","level":3,"score":0.6773937940597534},{"id":"https://openalex.org/C24590314","wikidata":"https://www.wikidata.org/wiki/Q336038","display_name":"Wireless sensor network","level":2,"score":0.6723203659057617},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6595837473869324},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.5759420990943909},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.5759034156799316},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.48098647594451904},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4589124917984009},{"id":"https://openalex.org/C31010330","wikidata":"https://www.wikidata.org/wiki/Q1914255","display_name":"Maximum principle","level":3,"score":0.44539809226989746},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4421558678150177},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.43799135088920593},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.4125874936580658},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4071667194366455},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.39472126960754395},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.35576945543289185},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2703069746494293},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1473202109336853},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.13922908902168274},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1240149438381195},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12365254759788513},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2020/5686413","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/5686413","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/5686413.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:5686413","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2020/5686413.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:ccab63cb5b1b41c884db2545d7534be3","is_oa":true,"landing_page_url":"https://doaj.org/article/ccab63cb5b1b41c884db2545d7534be3","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2020 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2020/5686413","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/5686413","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/5686413.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.8999999761581421}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3040250066.pdf","grobid_xml":"https://content.openalex.org/works/W3040250066.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1519581288","https://openalex.org/W1963876301","https://openalex.org/W1969419441","https://openalex.org/W1985262864","https://openalex.org/W2008588420","https://openalex.org/W2015794671","https://openalex.org/W2066341982","https://openalex.org/W2080066817","https://openalex.org/W2084858364","https://openalex.org/W2089135085","https://openalex.org/W2090119438","https://openalex.org/W2090646188","https://openalex.org/W2112877738","https://openalex.org/W2118847774","https://openalex.org/W2170239483","https://openalex.org/W2381082701","https://openalex.org/W2461251789","https://openalex.org/W2481872069","https://openalex.org/W2509657079","https://openalex.org/W2573648581","https://openalex.org/W2608634483","https://openalex.org/W2765509587","https://openalex.org/W2783604740","https://openalex.org/W2805395947","https://openalex.org/W2909738421","https://openalex.org/W2936556294","https://openalex.org/W2942684165","https://openalex.org/W2943141190","https://openalex.org/W2946731680","https://openalex.org/W2957085249","https://openalex.org/W2962164552","https://openalex.org/W2997240268"],"related_works":["https://openalex.org/W4302321938","https://openalex.org/W4292923857","https://openalex.org/W1967384683","https://openalex.org/W162218241","https://openalex.org/W2962746246","https://openalex.org/W4285534277","https://openalex.org/W2771042763","https://openalex.org/W2031281152","https://openalex.org/W3209004265","https://openalex.org/W2015353619"],"abstract_inverted_index":{"Based":[0],"on":[1,153],"the":[2,61,68,75,80,85,99,104,118,123,138,148,154],"traditional":[3],"propagation":[4,28],"model,":[5],"this":[6,51,90],"paper":[7,91],"innovatively":[8],"divides":[9],"nodes":[10,53],"into":[11,56],"high-":[12],"and":[13,23,64,67,108,116,143],"low-energy":[14],"states":[15,58],"through":[16],"introducing":[17],"Low-energy":[18],"(":[19],"L":[20],")":[21],"state":[22],"presents":[24],"a":[25,95,112,133],"whole":[26],"new":[27],"model":[29,156],"which":[30],"is":[31,128,157],"more":[32],"suitable":[33],"for":[34],"WSNs":[35,107],"(wireless":[36],"sensor":[37],"networks)":[38],"against":[39],"malicious":[40,109,141],"programs,":[41],"namely,":[42],"SILRD":[43,155],"(Susceptible,":[44],"Infected,":[45],"Low-energy,":[46],"Recovered,":[47],"Dead)":[48],"model.":[49],"In":[50],"paper,":[52],"are":[54,71],"divided":[55],"five":[57],"according":[59],"to":[60,73,97],"residual":[62],"energy":[63],"infection":[65],"level,":[66],"differential":[69],"equations":[70],"constructed":[72],"describe":[74],"evolution":[76],"of":[77,87,114,140,150],"nodes.":[78],"At":[79],"same":[81],"time,":[82],"aiming":[83],"at":[84],"exhaustion":[86],"WSNs\u2019":[88],"energy,":[89],"introduces":[92],"charging":[93,131],"as":[94,111,132],"method":[96],"supplement":[98],"energy.":[100],"Furthermore,":[101],"we":[102],"regard":[103],"confrontation":[105],"between":[106],"programs":[110,142],"kind":[113],"game":[115],"find":[117],"optimal":[119],"strategies":[120],"by":[121,159],"using":[122],"Pontryagin":[124],"Maximum":[125],"Principle.":[126],"It":[127],"found":[129],"that":[130],"defense":[134],"mechanism":[135],"can":[136],"inhibit":[137],"spread":[139],"reduce":[144],"overall":[145],"costs.":[146],"Meanwhile,":[147],"superiority":[149],"bang-bang":[151],"control":[152],"highlighted":[158],"comparing":[160],"with":[161],"square":[162],"control.":[163]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}