{"id":"https://openalex.org/W3028470336","doi":"https://doi.org/10.1142/s1793962320500336","title":"Dynamics of an SAIQR influenza model of fractional order via convex incidence rate","display_name":"Dynamics of an SAIQR influenza model of fractional order via convex incidence rate","publication_year":2020,"publication_date":"2020-05-21","ids":{"openalex":"https://openalex.org/W3028470336","doi":"https://doi.org/10.1142/s1793962320500336","mag":"3028470336"},"language":"en","primary_location":{"id":"doi:10.1142/s1793962320500336","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793962320500336","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Modeling, Simulation, and Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015298182","display_name":"Ghaus ur Rahman","orcid":"https://orcid.org/0000-0002-3168-181X"},"institutions":[{"id":"https://openalex.org/I335365548","display_name":"University of Swat","ror":"https://ror.org/01q9mqz67","country_code":"PK","type":"education","lineage":["https://openalex.org/I335365548"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Ghaus ur Rahman","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Swat, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Swat, Pakistan","institution_ids":["https://openalex.org/I335365548"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100713465","display_name":"Ahmet Y\u0131ld\u0131r\u0131m","orcid":"https://orcid.org/0000-0001-8989-4271"},"institutions":[{"id":"https://openalex.org/I41641357","display_name":"Ege University","ror":"https://ror.org/02eaafc18","country_code":"TR","type":"education","lineage":["https://openalex.org/I41641357"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Ahmet Yildirim","raw_affiliation_strings":["Department of Mathematics, Bornova-\u00c4zmir, Ege University, Turkey"],"raw_orcid":"https://orcid.org/0000-0001-8989-4271","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bornova-\u00c4zmir, Ege University, Turkey","institution_ids":["https://openalex.org/I41641357"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101937507","display_name":"Fazal Haq","orcid":"https://orcid.org/0000-0002-6981-2782"},"institutions":[{"id":"https://openalex.org/I263208278","display_name":"Hazara University","ror":"https://ror.org/018y22094","country_code":"PK","type":"education","lineage":["https://openalex.org/I263208278"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Fazal Haq","raw_affiliation_strings":["Department of Mathematics, Hazara University, Mansehra, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hazara University, Mansehra, Pakistan","institution_ids":["https://openalex.org/I263208278"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035527712","display_name":"Emile Franc Doungmo Goufo","orcid":"https://orcid.org/0000-0001-6520-1039"},"institutions":[{"id":"https://openalex.org/I165390105","display_name":"University of South Africa","ror":"https://ror.org/048cwvf49","country_code":"ZA","type":"education","lineage":["https://openalex.org/I165390105"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"Emile F. Doungmo Goufo","raw_affiliation_strings":["Department of Mathematical Sciences, University of South Africa, Florida, South Africa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of South Africa, Florida, South Africa","institution_ids":["https://openalex.org/I165390105"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100713465"],"corresponding_institution_ids":["https://openalex.org/I41641357"],"apc_list":null,"apc_paid":null,"fwci":0.1401,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.53084432,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"11","issue":"04","first_page":"2050033","last_page":"2050033"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9997000098228455,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9980999827384949,"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"}},{"id":"https://openalex.org/T10410","display_name":"COVID-19 epidemiological studies","score":0.9890000224113464,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/outbreak","display_name":"Outbreak","score":0.67545086145401},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.6207343339920044},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5178952217102051},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5022389888763428},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4857226014137268},{"id":"https://openalex.org/keywords/epidemic-model","display_name":"Epidemic model","score":0.4852449893951416},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.46580368280410767},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4225628077983856},{"id":"https://openalex.org/keywords/pandemic","display_name":"Pandemic","score":0.4209229052066803},{"id":"https://openalex.org/keywords/influenza-pandemic","display_name":"Influenza pandemic","score":0.41821789741516113},{"id":"https://openalex.org/keywords/virology","display_name":"Virology","score":0.3628600835800171},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.34278979897499084},{"id":"https://openalex.org/keywords/coronavirus-disease-2019","display_name":"Coronavirus disease 2019 (COVID-19)","score":0.2550748288631439},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.2426089644432068},{"id":"https://openalex.org/keywords/disease","display_name":"Disease","score":0.24122118949890137},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22631090879440308},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.16884422302246094},{"id":"https://openalex.org/keywords/infectious-disease","display_name":"Infectious disease (medical specialty)","score":0.09406110644340515},{"id":"https://openalex.org/keywords/environmental-health","display_name":"Environmental health","score":0.09374681115150452}],"concepts":[{"id":"https://openalex.org/C116675565","wikidata":"https://www.wikidata.org/wiki/Q3241045","display_name":"Outbreak","level":2,"score":0.67545086145401},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.6207343339920044},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5178952217102051},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5022389888763428},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4857226014137268},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.4852449893951416},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.46580368280410767},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4225628077983856},{"id":"https://openalex.org/C89623803","wikidata":"https://www.wikidata.org/wiki/Q12184","display_name":"Pandemic","level":5,"score":0.4209229052066803},{"id":"https://openalex.org/C3019926118","wikidata":"https://www.wikidata.org/wiki/Q2723958","display_name":"Influenza pandemic","level":5,"score":0.41821789741516113},{"id":"https://openalex.org/C159047783","wikidata":"https://www.wikidata.org/wiki/Q7215","display_name":"Virology","level":1,"score":0.3628600835800171},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.34278979897499084},{"id":"https://openalex.org/C3008058167","wikidata":"https://www.wikidata.org/wiki/Q84263196","display_name":"Coronavirus disease 2019 (COVID-19)","level":4,"score":0.2550748288631439},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.2426089644432068},{"id":"https://openalex.org/C2779134260","wikidata":"https://www.wikidata.org/wiki/Q12136","display_name":"Disease","level":2,"score":0.24122118949890137},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22631090879440308},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.16884422302246094},{"id":"https://openalex.org/C524204448","wikidata":"https://www.wikidata.org/wiki/Q788926","display_name":"Infectious disease (medical specialty)","level":3,"score":0.09406110644340515},{"id":"https://openalex.org/C99454951","wikidata":"https://www.wikidata.org/wiki/Q932068","display_name":"Environmental health","level":1,"score":0.09374681115150452},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793962320500336","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793962320500336","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Modeling, Simulation, and Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8600000143051147,"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1421343027","https://openalex.org/W1986017546","https://openalex.org/W1999434246","https://openalex.org/W2024844031","https://openalex.org/W2034382342","https://openalex.org/W2038266236","https://openalex.org/W2054261535","https://openalex.org/W2083130194","https://openalex.org/W2090695500","https://openalex.org/W2092398633","https://openalex.org/W2100103969","https://openalex.org/W2112571783","https://openalex.org/W2117772378","https://openalex.org/W2118831692","https://openalex.org/W2120113718","https://openalex.org/W4241560068","https://openalex.org/W4254879547","https://openalex.org/W4297919746"],"related_works":["https://openalex.org/W2082446734","https://openalex.org/W4313560640","https://openalex.org/W2253351617","https://openalex.org/W3148881609","https://openalex.org/W4246784705","https://openalex.org/W4317627639","https://openalex.org/W4313396013","https://openalex.org/W3024206168","https://openalex.org/W3005643231","https://openalex.org/W2806181810"],"abstract_inverted_index":{"Influenza":[0,19],"A-virus":[1],"infection":[2,21],"represents":[3],"a":[4,23],"global":[5,14],"threat":[6],"causing":[7],"seasonal":[8,17],"outbreaks":[9],"and":[10,65],"pandemics.":[11],"Among":[12],"the":[13,28,43,53,58,68,77,80],"threats":[15],"creating":[16],"outbreak,":[18],"\u201cA-virus\u201d":[20],"is":[22,63],"dominating":[24],"theme":[25],"nowadays.":[26],"Using":[27],"theory":[29],"of":[30,55,79],"fractional":[31],"calculus,":[32],"this":[33],"study":[34,41],"considers":[35],"an":[36],"influenza":[37],"model":[38,70],"for":[39,67],"quantitative":[40],"via":[42],"Laplace":[44],"Adomian":[45],"Decomposition":[46],"Method":[47],"(LADM).":[48],"We":[49],"proceed":[50],"to":[51,75],"explore":[52],"role":[54],"LADM":[56],"on":[57],"proposed":[59,69],"model.":[60],"The":[61],"method":[62],"described":[64],"explained":[66],"while":[71],"providing":[72],"some":[73],"plots":[74],"present":[76],"behavior":[78],"disease.":[81]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}