{"id":"https://openalex.org/W4377016705","doi":"https://doi.org/10.1016/j.aej.2023.05.011","title":"Analysis, modeling and simulation of a fractional-order influenza model","display_name":"Analysis, modeling and simulation of a fractional-order influenza model","publication_year":2023,"publication_date":"2023-05-18","ids":{"openalex":"https://openalex.org/W4377016705","doi":"https://doi.org/10.1016/j.aej.2023.05.011"},"language":"en","primary_location":{"id":"doi:10.1016/j.aej.2023.05.011","doi":"https://doi.org/10.1016/j.aej.2023.05.011","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.aej.2023.05.011","pdf_url":null,"source":{"id":"https://openalex.org/S2764413287","display_name":"Alexandria Engineering Journal","issn_l":"1110-0168","issn":["1110-0168","2090-2670"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-b","jufo-1","ki-jl-1","norway-1","poland-70"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Alexandria Engineering Journal","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1016/j.aej.2023.05.011","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051686427","display_name":"Mohamed A. Abdoon","orcid":"https://orcid.org/0000-0003-0509-1506","observed_orcids":["https://orcid.org/0000-0003-0509-1506"]},"institutions":[{"id":"https://openalex.org/I206935292","display_name":"Shaqra University","ror":"https://ror.org/05hawb687","country_code":"SA","type":"education","lineage":["https://openalex.org/I206935292"]},{"id":"https://openalex.org/I3129221262","display_name":"University of Bakhtalruda","ror":"https://ror.org/02cxvat25","country_code":"SD","type":"education","lineage":["https://openalex.org/I3129221262"]}],"countries":["SA","SD"],"is_corresponding":false,"raw_author_name":"Mohamed A. Abdoon","raw_affiliation_strings":["Department of Basic Sciences (Mathematics) Deanship of Common First Year, Shaqra University, Riyadh 15342, Saudi Arabia","Department of Mathematics, Faculty of Science, Bakht Al-Ruda UnivCersity, White Nile State, Sudan"],"raw_orcid":"https://orcid.org/0000-0003-0509-1506","affiliations":[{"raw_affiliation_string":"Department of Basic Sciences (Mathematics) Deanship of Common First Year, Shaqra University, Riyadh 15342, Saudi Arabia","institution_ids":["https://openalex.org/I206935292"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Bakht Al-Ruda UnivCersity, White Nile State, Sudan","institution_ids":["https://openalex.org/I3129221262"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025732055","display_name":"Rania Saadeh","orcid":"https://orcid.org/0000-0002-6394-1452","observed_orcids":["https://orcid.org/0000-0002-6394-1452"]},"institutions":[{"id":"https://openalex.org/I153687341","display_name":"Zarqa University","ror":"https://ror.org/01wf1es90","country_code":"JO","type":"education","lineage":["https://openalex.org/I153687341"]}],"countries":["JO"],"is_corresponding":true,"raw_author_name":"Rania Saadeh","raw_affiliation_strings":["Department of Mathematics, Zarqa University, Zarqa 13110, Jordan"],"raw_orcid":"https://orcid.org/0000-0002-6394-1452","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zarqa University, Zarqa 13110, Jordan","institution_ids":["https://openalex.org/I153687341"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076170200","display_name":"Mohammed Berir","orcid":"https://orcid.org/0000-0002-5762-3474","observed_orcids":["https://orcid.org/0000-0002-5762-3474"]},"institutions":[{"id":"https://openalex.org/I52207611","display_name":"Al Baha University","ror":"https://ror.org/0403jak37","country_code":"SA","type":"education","lineage":["https://openalex.org/I52207611"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Mohammed Berir","raw_affiliation_strings":["Department of Mathematics, Faculty of Science and Arts, Al-baha University, Baljurashi 1988, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0002-5762-3474","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science and Arts, Al-baha University, Baljurashi 1988, Saudi Arabia","institution_ids":["https://openalex.org/I52207611"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5092038813","display_name":"Fathelrhman EL Guma","orcid":"https://orcid.org/0000-0001-7365-3772","observed_orcids":["https://orcid.org/0000-0001-7365-3772"]},"institutions":[{"id":"https://openalex.org/I52207611","display_name":"Al Baha University","ror":"https://ror.org/0403jak37","country_code":"SA","type":"education","lineage":["https://openalex.org/I52207611"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Fathelrhman EL Guma","raw_affiliation_strings":["Department of Mathematics, Faculty of Science and Arts, Al-baha University, Baljurashi 1988, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science and Arts, Al-baha University, Baljurashi 1988, Saudi Arabia","institution_ids":["https://openalex.org/I52207611"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102785452","display_name":"Mawada Ali","orcid":"https://orcid.org/0000-0003-3833-9387","observed_orcids":["https://orcid.org/0000-0003-3833-9387"]},"institutions":[{"id":"https://openalex.org/I224517680","display_name":"Al-Neelain University","ror":"https://ror.org/05dvsnx49","country_code":"SD","type":"education","lineage":["https://openalex.org/I224517680"]}],"countries":["SD"],"is_corresponding":false,"raw_author_name":"Mawada ali","raw_affiliation_strings":["Department of Mathematical Modelling, Faculty of Mathematical Sciences and Statistics, Alneelain University, Khartoum, Sudan"],"raw_orcid":"https://orcid.org/0000-0003-3833-9387","affiliations":[{"raw_affiliation_string":"Department of Mathematical Modelling, Faculty of Mathematical Sciences and Statistics, Alneelain University, Khartoum, Sudan","institution_ids":["https://openalex.org/I224517680"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5025732055"],"corresponding_institution_ids":["https://openalex.org/I153687341"],"apc_list":{"value":1200,"currency":"USD","value_usd":1200},"apc_paid":{"value":1200,"currency":"USD","value_usd":1200},"fwci":14.4214,"has_fulltext":false,"cited_by_count":66,"citation_normalized_percentile":{"value":0.99838655,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"74","issue":null,"first_page":"231","last_page":"240"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9297000169754028,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9297000169754028,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.050999999046325684,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.006899999920278788,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/influenza","display_name":"influenza","score":0.7279999852180481},{"id":"https://openalex.org/keywords/fractional-order-epidemic-model","display_name":"fractional-order epidemic model","score":0.9750000238418579},{"id":"https://openalex.org/keywords/atangana-baleanu-caputo-derivative","display_name":"Atangana-Baleanu-Caputo derivative","score":0.9869999885559082},{"id":"https://openalex.org/keywords/disease-free-equilibrium","display_name":"disease-free equilibrium","score":0.7720000147819519},{"id":"https://openalex.org/keywords/endemic-equilibrium","display_name":"endemic equilibrium","score":0.9929999709129333},{"id":"https://openalex.org/keywords/stability-analysis","display_name":"stability analysis","score":0.8960000276565552},{"id":"https://openalex.org/keywords/fractional-euler-method","display_name":"fractional Euler method","score":0.9639999866485596},{"id":"https://openalex.org/keywords/epidemic-dynamics","display_name":"epidemic dynamics","score":0.671999990940094}],"concepts":[{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.8465098142623901},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6738390326499939},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6334501504898071},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6088091731071472},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5761772990226746},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5657730102539062},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5388543009757996},{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.5074207186698914},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.4795524775981903},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.4494551718235016},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3619098663330078},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2878901958465576},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22989648580551147},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/j.aej.2023.05.011","doi":"https://doi.org/10.1016/j.aej.2023.05.011","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.aej.2023.05.011","pdf_url":null,"source":{"id":"https://openalex.org/S2764413287","display_name":"Alexandria Engineering Journal","issn_l":"1110-0168","issn":["1110-0168","2090-2670"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-b","jufo-1","ki-jl-1","norway-1","poland-70"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Alexandria Engineering Journal","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:fe304fb491714a1798b829108a60e8e1","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/fe304fb491714a1798b829108a60e8e1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Alexandria Engineering Journal, Vol 74, Iss , Pp 231-240 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1016/j.aej.2023.05.011","doi":"https://doi.org/10.1016/j.aej.2023.05.011","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.aej.2023.05.011","pdf_url":null,"source":{"id":"https://openalex.org/S2764413287","display_name":"Alexandria Engineering Journal","issn_l":"1110-0168","issn":["1110-0168","2090-2670"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-b","jufo-1","ki-jl-1","norway-1","poland-70"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Alexandria Engineering Journal","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","score":0.8048999905586243,"display_name":"Good health and well-being"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W23054005","https://openalex.org/W261937590","https://openalex.org/W281781743","https://openalex.org/W1512748596","https://openalex.org/W1965155306","https://openalex.org/W1982261380","https://openalex.org/W1994821982","https://openalex.org/W2049978891","https://openalex.org/W2087070363","https://openalex.org/W2148301044","https://openalex.org/W2161728228","https://openalex.org/W2165792753","https://openalex.org/W2215542482","https://openalex.org/W2297949686","https://openalex.org/W2540058059","https://openalex.org/W2894150744","https://openalex.org/W3039316466","https://openalex.org/W3041460502","https://openalex.org/W3091096030","https://openalex.org/W3105544826","https://openalex.org/W3115882358","https://openalex.org/W3138750701","https://openalex.org/W3145989604","https://openalex.org/W3165336242","https://openalex.org/W3203680921","https://openalex.org/W3207013555","https://openalex.org/W3210208474","https://openalex.org/W4220870994","https://openalex.org/W4236948261","https://openalex.org/W4237083817","https://openalex.org/W4283213015","https://openalex.org/W4294326319","https://openalex.org/W4297215920","https://openalex.org/W4307703638","https://openalex.org/W4309916329","https://openalex.org/W4311060132","https://openalex.org/W4311552830","https://openalex.org/W4311717527","https://openalex.org/W4313827725","https://openalex.org/W4318993306","https://openalex.org/W4321461656","https://openalex.org/W4366090181"],"related_works":["https://openalex.org/W4402050970","https://openalex.org/W4417415380","https://openalex.org/W4400940157","https://openalex.org/W4405814506","https://openalex.org/W3001468641","https://openalex.org/W2261827804","https://openalex.org/W4406337880","https://openalex.org/W4414892999","https://openalex.org/W7214911468","https://openalex.org/W7116063389"],"abstract_inverted_index":{"The":[0,43],"primary":[1],"goal":[2],"of":[3,25,34,54,62,74,117],"this":[4],"study":[5],"is":[6],"to":[7,40,50,101],"provide":[8],"a":[9],"novel":[10],"mathematical":[11,57],"model":[12,96],"for":[13],"Influenza":[14],"using":[15,85],"the":[16,26,36,52,55,60,63,67,75,89,94,106,115],"Atangana\u2013Baleanu":[17],"Caputo":[18],"fractional-order":[19,95],"derivative":[20],"operator":[21],"(ABC-Operator)":[22],"in":[23],"place":[24],"standard":[27],"operator.":[28],"There":[29],"will":[30,47,82],"be":[31,48,83],"an":[32],"examination":[33],"how":[35],"influenza-positive":[37],"solutions":[38],"reacts":[39],"real-world":[41],"data.":[42],"fractional":[44,118],"Euler":[45],"Method":[46],"utilized":[49],"reveal":[51],"dynamics":[53],"influenza":[56],"model.":[58],"Both":[59],"stability":[61],"disease-free":[64],"equilibrium":[65,69],"and":[66],"endemic":[68],"points,":[70],"two":[71],"symmetrical":[72],"extrema":[73],"proposed":[76],"dynamical":[77],"model,":[78],"are":[79,97],"examined.":[80],"It":[81],"shown,":[84],"numerical":[86],"comparisons,":[87],"that":[88],"findings":[90],"obtained":[91],"by":[92],"employing":[93],"considerably":[98],"more":[99],"similar":[100],"certain":[102],"actual":[103],"data":[104],"than":[105],"integer-order":[107],"model's":[108],"results.":[109],"These":[110],"should":[111],"shed":[112],"light":[113],"on":[114],"significance":[116],"calculus":[119],"when":[120],"confronting":[121],"epidemic":[122],"risks.":[123]},"counts_by_year":[{"year":2026,"cited_by_count":9},{"year":2025,"cited_by_count":18},{"year":2024,"cited_by_count":27},{"year":2023,"cited_by_count":12}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2023-05-19T00:00:00"}
