{"id":"https://openalex.org/W3135261976","doi":"https://doi.org/10.3390/sym13030434","title":"Controlling Wolbachia Transmission and Invasion Dynamics among Aedes Aegypti Population via Impulsive Control Strategy","display_name":"Controlling Wolbachia Transmission and Invasion Dynamics among Aedes Aegypti Population via Impulsive Control Strategy","publication_year":2021,"publication_date":"2021-03-08","ids":{"openalex":"https://openalex.org/W3135261976","doi":"https://doi.org/10.3390/sym13030434","mag":"3135261976"},"language":"en","primary_location":{"id":"doi:10.3390/sym13030434","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13030434","pdf_url":"https://www.mdpi.com/2073-8994/13/3/434/pdf?version=1615530306","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/13/3/434/pdf?version=1615530306","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066615481","display_name":"Dianavinnarasi Joseph","orcid":null},"institutions":[{"id":"https://openalex.org/I131155284","display_name":"Alagappa University","ror":"https://ror.org/04ec9cc06","country_code":"IN","type":"education","lineage":["https://openalex.org/I131155284"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Joseph Dianavinnarasi","raw_affiliation_strings":["Department of Mathematics, Alagappa University, Karaikudi 630 004, India"],"raw_orcid":"https://orcid.org/0000-0003-2977-3843","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Alagappa University, Karaikudi 630 004, India","institution_ids":["https://openalex.org/I131155284"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034242786","display_name":"R. Raja","orcid":"https://orcid.org/0000-0003-0830-4933"},"institutions":[{"id":"https://openalex.org/I131155284","display_name":"Alagappa University","ror":"https://ror.org/04ec9cc06","country_code":"IN","type":"education","lineage":["https://openalex.org/I131155284"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Ramachandran Raja","raw_affiliation_strings":["Ramanujan Centre for Higher Mathematics, Alagappa University, Karaikudi 630 004, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ramanujan Centre for Higher Mathematics, Alagappa University, Karaikudi 630 004, India","institution_ids":["https://openalex.org/I131155284"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080356995","display_name":"Jehad Alzabut","orcid":"https://orcid.org/0000-0002-5262-1138"},"institutions":[{"id":"https://openalex.org/I142024983","display_name":"Prince Sultan University","ror":"https://ror.org/053mqrf26","country_code":"SA","type":"education","lineage":["https://openalex.org/I142024983"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Jehad Alzabut","raw_affiliation_strings":["Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 12435, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0002-5262-1138","affiliations":[{"raw_affiliation_string":"Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 12435, Saudi Arabia","institution_ids":["https://openalex.org/I142024983"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030209155","display_name":"Micha\u0142 Niezabitowski","orcid":"https://orcid.org/0000-0003-4553-5351"},"institutions":[{"id":"https://openalex.org/I119004910","display_name":"Silesian University of Technology","ror":"https://ror.org/02dyjk442","country_code":"PL","type":"education","lineage":["https://openalex.org/I119004910"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Micha\u0142 Niezabitowski","raw_affiliation_strings":["Department of Automatic Control and Robotics, Faculty of Automatic Control, Electronics and Computer Science, Silesian University of Technology, Akademicka 16, 44-100 Gliwice, Poland"],"raw_orcid":"https://orcid.org/0000-0003-4553-5351","affiliations":[{"raw_affiliation_string":"Department of Automatic Control and Robotics, Faculty of Automatic Control, Electronics and Computer Science, Silesian University of Technology, Akademicka 16, 44-100 Gliwice, Poland","institution_ids":["https://openalex.org/I119004910"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051397065","display_name":"Ovidiu Bagdasar","orcid":"https://orcid.org/0000-0003-4193-9842"},"institutions":[{"id":"https://openalex.org/I22128151","display_name":"University of Derby","ror":"https://ror.org/02yhrrk59","country_code":"GB","type":"education","lineage":["https://openalex.org/I22128151"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Ovidiu Bagdasar","raw_affiliation_strings":["Department of Electronics, Computing and Mathematics, University of Derby, Derby DE22 1GB, UK"],"raw_orcid":"https://orcid.org/0000-0003-4193-9842","affiliations":[{"raw_affiliation_string":"Department of Electronics, Computing and Mathematics, University of Derby, Derby DE22 1GB, UK","institution_ids":["https://openalex.org/I22128151"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5080356995"],"corresponding_institution_ids":["https://openalex.org/I142024983"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.3746,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.79949719,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"13","issue":"3","first_page":"434","last_page":"434"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12134","display_name":"Insect symbiosis and bacterial influences","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1109","display_name":"Insect Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T12134","display_name":"Insect symbiosis and bacterial influences","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1109","display_name":"Insect Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10166","display_name":"Mosquito-borne diseases and control","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/wolbachia","display_name":"Wolbachia","score":0.9400724172592163},{"id":"https://openalex.org/keywords/aedes-aegypti","display_name":"Aedes aegypti","score":0.7795213460922241},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.5604904294013977},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5546197891235352},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.45952022075653076},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.45447832345962524},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4515508711338043},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.4341960549354553},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4224301874637604},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.3890862762928009},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.367829829454422},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35444051027297974},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33422836661338806},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.17986303567886353},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1321313977241516},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12232634425163269},{"id":"https://openalex.org/keywords/host","display_name":"Host (biology)","score":0.11047086119651794},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10931336879730225},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.09835103154182434}],"concepts":[{"id":"https://openalex.org/C2779356413","wikidata":"https://www.wikidata.org/wiki/Q283526","display_name":"Wolbachia","level":3,"score":0.9400724172592163},{"id":"https://openalex.org/C2777775583","wikidata":"https://www.wikidata.org/wiki/Q1148004","display_name":"Aedes aegypti","level":3,"score":0.7795213460922241},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.5604904294013977},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5546197891235352},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.45952022075653076},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.45447832345962524},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4515508711338043},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.4341960549354553},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4224301874637604},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.3890862762928009},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.367829829454422},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35444051027297974},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33422836661338806},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.17986303567886353},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1321313977241516},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12232634425163269},{"id":"https://openalex.org/C126831891","wikidata":"https://www.wikidata.org/wiki/Q221673","display_name":"Host (biology)","level":2,"score":0.11047086119651794},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10931336879730225},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.09835103154182434},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C173758957","wikidata":"https://www.wikidata.org/wiki/Q129270","display_name":"Larva","level":2,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/sym13030434","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13030434","pdf_url":"https://www.mdpi.com/2073-8994/13/3/434/pdf?version=1615530306","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:derby.openrepository.com:10545/625696","is_oa":true,"landing_page_url":"http://hdl.handle.net/10545/625696","pdf_url":null,"source":{"id":"https://openalex.org/S4306402138","display_name":"University of Derby Online Research Archive. (University of Derby)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I22128151","host_organization_name":"University of Derby","host_organization_lineage":["https://openalex.org/I22128151"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Article"},{"id":"pmh:oai:doaj.org/article:0c70fb50a4d3456cac5a699de354d67c","is_oa":true,"landing_page_url":"https://doaj.org/article/0c70fb50a4d3456cac5a699de354d67c","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":"Symmetry, Vol 13, Iss 3, p 434 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/13/3/434/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym13030434","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym13030434","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13030434","pdf_url":"https://www.mdpi.com/2073-8994/13/3/434/pdf?version=1615530306","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5400000214576721,"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land"}],"awards":[{"id":"https://openalex.org/G1529919662","display_name":null,"funder_award_id":"SR/FIST/MS-I/ 2018/17","funder_id":"https://openalex.org/F4320320719","funder_display_name":"Department of Science and Technology, Ministry of Science and Technology, India"},{"id":"https://openalex.org/G3230993573","display_name":null,"funder_award_id":"24-51/2014-U","funder_id":"https://openalex.org/F4320334771","funder_display_name":"Science and Engineering Research Board"},{"id":"https://openalex.org/G644461714","display_name":null,"funder_award_id":"24-51/2014-U","funder_id":"https://openalex.org/F4320320719","funder_display_name":"Department of Science and Technology, Ministry of Science and Technology, India"},{"id":"https://openalex.org/G8660497242","display_name":null,"funder_award_id":"24-51/2014","funder_id":"https://openalex.org/F4320320719","funder_display_name":"Department of Science and Technology, Ministry of Science and Technology, India"},{"id":"https://openalex.org/G8771486681","display_name":null,"funder_award_id":"657876570","funder_id":"https://openalex.org/F4320320719","funder_display_name":"Department of Science and Technology, Ministry of Science and Technology, India"}],"funders":[{"id":"https://openalex.org/F4320320719","display_name":"Department of Science and Technology, Ministry of Science and Technology, India","ror":"https://ror.org/0101xrq71"},{"id":"https://openalex.org/F4320327702","display_name":"Prince Sultan University","ror":"https://ror.org/053mqrf26"},{"id":"https://openalex.org/F4320334771","display_name":"Science and Engineering Research Board","ror":"https://ror.org/03ffdsr55"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3135261976.pdf","grobid_xml":"https://content.openalex.org/works/W3135261976.grobid-xml"},"referenced_works_count":53,"referenced_works":["https://openalex.org/W1963710629","https://openalex.org/W1979582553","https://openalex.org/W1985454967","https://openalex.org/W1990086201","https://openalex.org/W1993043678","https://openalex.org/W2004558984","https://openalex.org/W2008701859","https://openalex.org/W2010165553","https://openalex.org/W2011148871","https://openalex.org/W2014353789","https://openalex.org/W2017971345","https://openalex.org/W2027472350","https://openalex.org/W2043865342","https://openalex.org/W2045211613","https://openalex.org/W2052337437","https://openalex.org/W2058860728","https://openalex.org/W2078117928","https://openalex.org/W2090199520","https://openalex.org/W2095835509","https://openalex.org/W2096556200","https://openalex.org/W2098932229","https://openalex.org/W2104024599","https://openalex.org/W2120118602","https://openalex.org/W2131112023","https://openalex.org/W2131222241","https://openalex.org/W2134876845","https://openalex.org/W2148751367","https://openalex.org/W2156353543","https://openalex.org/W2244225777","https://openalex.org/W2259227674","https://openalex.org/W2286622088","https://openalex.org/W2346252141","https://openalex.org/W2575402971","https://openalex.org/W2604627176","https://openalex.org/W2604944721","https://openalex.org/W2620734517","https://openalex.org/W2755453599","https://openalex.org/W2918832591","https://openalex.org/W2973326248","https://openalex.org/W2981058147","https://openalex.org/W2996581323","https://openalex.org/W3024149162","https://openalex.org/W3026855271","https://openalex.org/W3113725564","https://openalex.org/W3121730645","https://openalex.org/W3126410983","https://openalex.org/W3133581328","https://openalex.org/W3210839039","https://openalex.org/W4300352410","https://openalex.org/W6674273903","https://openalex.org/W6736271668","https://openalex.org/W6763965216","https://openalex.org/W6772164154"],"related_works":["https://openalex.org/W2888643246","https://openalex.org/W4205682527","https://openalex.org/W4210605341","https://openalex.org/W3135624591","https://openalex.org/W2130927162","https://openalex.org/W2218622607","https://openalex.org/W1963505850","https://openalex.org/W4246902443","https://openalex.org/W3197293669","https://openalex.org/W2082759515"],"abstract_inverted_index":{"This":[0],"work":[1,35],"is":[2,73,84],"devoted":[3],"to":[4,10,90],"analyzing":[5],"an":[6],"impulsive":[7],"control":[8],"synthesis":[9],"maintain":[11],"the":[12,37,43,69,87,92,95],"self-sustainability":[13],"of":[14,65,71,94],"Wolbachia":[15,27,72,97],"among":[16],"Aedes":[17],"Aegypti":[18],"mosquitoes.":[19],"The":[20],"present":[21],"paper":[22],"provides":[23],"a":[24,49,63,81],"fractional":[25],"order":[26],"invasive":[28,98],"model.":[29,45,99],"Through":[30],"fixed":[31],"point":[32],"theory,":[33],"this":[34,66],"derives":[36],"existence":[38],"and":[39,59,75],"uniqueness":[40],"results":[41],"for":[42,86],"proposed":[44,96],"Also,":[46],"we":[47],"performed":[48],"global":[50],"Mittag-Leffler":[51],"stability":[52],"analysis":[53],"via":[54],"Linear":[55],"Matrix":[56],"Inequality":[57],"theory":[58],"Lyapunov":[60],"theory.":[61],"As":[62],"result":[64],"controller":[67],"synthesis,":[68],"sustainability":[70],"preserved":[74],"non-Wolbachia":[76],"mosquitoes":[77],"are":[78],"eradicated.":[79],"Finally,":[80],"numerical":[82],"simulation":[83],"established":[85],"published":[88],"data":[89],"analyze":[91],"nature":[93]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}