{"id":"https://openalex.org/W4297347245","doi":"https://doi.org/10.1155/2022/3846904","title":"Modeling and Dynamics of the Fractional Order SARS\u2010CoV\u20102 Epidemiological Model","display_name":"Modeling and Dynamics of the Fractional Order SARS\u2010CoV\u20102 Epidemiological Model","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4297347245","doi":"https://doi.org/10.1155/2022/3846904"},"language":"en","primary_location":{"id":"doi:10.1155/2022/3846904","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2022/3846904","pdf_url":"https://downloads.hindawi.com/journals/complexity/2022/3846904.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/2022/3846904.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100600596","display_name":"Tahir Khan","orcid":"https://orcid.org/0000-0001-8563-7833"},"institutions":[{"id":"https://openalex.org/I4210114766","display_name":"Muscat College","ror":"https://ror.org/01zhpv322","country_code":"OM","type":"education","lineage":["https://openalex.org/I4210114766"]},{"id":"https://openalex.org/I4210142599","display_name":"University of Swabi","ror":"https://ror.org/04ez8az68","country_code":"PK","type":"education","lineage":["https://openalex.org/I4210142599"]}],"countries":["OM","PK"],"is_corresponding":false,"raw_author_name":"Tahir Khan","raw_affiliation_strings":["Department of Computing, Muscat College Muscat, Muscat, Oman","Department of Mathematics and Statistics, Woman University Swabi, Khyber Pakhtunkhwa, Pakistan","Department of Computing, Muscat College Muscat, Muscat","Department of Mathematics and Statistics, Woman University Swabi, Khyber Pakhtunkhwa"],"affiliations":[{"raw_affiliation_string":"Department of Computing, Muscat College Muscat, Muscat, Oman","institution_ids":["https://openalex.org/I4210114766"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Woman University Swabi, Khyber Pakhtunkhwa, Pakistan","institution_ids":["https://openalex.org/I4210142599"]},{"raw_affiliation_string":"Department of Computing, Muscat College Muscat, Muscat","institution_ids":["https://openalex.org/I4210114766"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Woman University Swabi, Khyber Pakhtunkhwa","institution_ids":["https://openalex.org/I4210142599"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059134646","display_name":"Roman Ullah","orcid":"https://orcid.org/0000-0001-8970-4060"},"institutions":[{"id":"https://openalex.org/I4210114766","display_name":"Muscat College","ror":"https://ror.org/01zhpv322","country_code":"OM","type":"education","lineage":["https://openalex.org/I4210114766"]}],"countries":["OM"],"is_corresponding":false,"raw_author_name":"Roman Ullah","raw_affiliation_strings":["Department of Computing, Muscat College Muscat, Muscat, Oman","Department of Computing, Muscat College Muscat, Muscat"],"affiliations":[{"raw_affiliation_string":"Department of Computing, Muscat College Muscat, Muscat, Oman","institution_ids":["https://openalex.org/I4210114766"]},{"raw_affiliation_string":"Department of Computing, Muscat College Muscat, Muscat","institution_ids":["https://openalex.org/I4210114766"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061156827","display_name":"Ali Yousef","orcid":"https://orcid.org/0000-0002-8824-5947"},"institutions":[{"id":"https://openalex.org/I4210111408","display_name":"Kuwait College of Science and Technology","ror":"https://ror.org/01vjvsj67","country_code":"KW","type":"education","lineage":["https://openalex.org/I4210111408"]}],"countries":["KW"],"is_corresponding":false,"raw_author_name":"Ali Yousef","raw_affiliation_strings":["Department of Mathematics, Kuwait College of Science and Technoloy, Safat 13133, P. O. Box 27235, Kuwait","Department of Mathematics, Kuwait College of Science and Technoloy, Safat 13133, P. O. Box 27235"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kuwait College of Science and Technoloy, Safat 13133, P. O. Box 27235, Kuwait","institution_ids":["https://openalex.org/I4210111408"]},{"raw_affiliation_string":"Department of Mathematics, Kuwait College of Science and Technoloy, Safat 13133, P. O. Box 27235","institution_ids":["https://openalex.org/I4210111408"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060702453","display_name":"Gul Zaman","orcid":"https://orcid.org/0000-0001-8281-3432"},"institutions":[{"id":"https://openalex.org/I68649149","display_name":"University of Malakand","ror":"https://ror.org/012xdha97","country_code":"PK","type":"education","lineage":["https://openalex.org/I68649149"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Gul Zaman","raw_affiliation_strings":["Department of Mathematics, University of Malakand, Chakdara Dir Lower, Khyber Pakhtunkhwa, Pakistan","Department of Mathematics, University of Malakand, Chakdara Dir Lower, Khyber Pakhtunkhwa"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Malakand, Chakdara Dir Lower, Khyber Pakhtunkhwa, Pakistan","institution_ids":["https://openalex.org/I68649149"]},{"raw_affiliation_string":"Department of Mathematics, University of Malakand, Chakdara Dir Lower, Khyber Pakhtunkhwa","institution_ids":["https://openalex.org/I68649149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086772145","display_name":"Qasem M. Al\u2010Mdallal","orcid":"https://orcid.org/0000-0002-2853-9337"},"institutions":[{"id":"https://openalex.org/I201726411","display_name":"United Arab Emirates University","ror":"https://ror.org/01km6p862","country_code":"AE","type":"education","lineage":["https://openalex.org/I201726411"]}],"countries":["AE"],"is_corresponding":true,"raw_author_name":"Qasem M. Al-Mdallal","raw_affiliation_strings":["Department of Mathematical Sciences, UAE University, P. O. Box 15551, Al-Ain, UAE","Department of Mathematical Sciences, UAE University, P. O. Box 15551, Al-Ain"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, UAE University, P. O. Box 15551, Al-Ain, UAE","institution_ids":["https://openalex.org/I201726411"]},{"raw_affiliation_string":"Department of Mathematical Sciences, UAE University, P. O. Box 15551, Al-Ain","institution_ids":["https://openalex.org/I201726411"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016772342","display_name":"Yasser Alraey","orcid":"https://orcid.org/0000-0002-5809-7525"},"institutions":[{"id":"https://openalex.org/I82952536","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30","country_code":"SA","type":"education","lineage":["https://openalex.org/I82952536"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Yasser Alraey","raw_affiliation_strings":["Department of Clinical Laboratory Sciences, Central Research Laboratory, College of Applied Medical Sciences, King Khalid University, Abha, Saudi Arabia","Department of Clinical Laboratory Sciences, Central Research Laboratory, College of Applied Medical Sciences, King Khalid University, Abha"],"affiliations":[{"raw_affiliation_string":"Department of Clinical Laboratory Sciences, Central Research Laboratory, College of Applied Medical Sciences, King Khalid University, Abha, Saudi Arabia","institution_ids":["https://openalex.org/I82952536"]},{"raw_affiliation_string":"Department of Clinical Laboratory Sciences, Central Research Laboratory, College of Applied Medical Sciences, King Khalid University, Abha","institution_ids":["https://openalex.org/I82952536"]}]}],"institutions":[],"countries_distinct_count":5,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5086772145"],"corresponding_institution_ids":["https://openalex.org/I201726411"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.6851,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.64640884,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"2022","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":1.0,"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":1.0,"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":0.9973999857902527,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9901000261306763,"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/linearization","display_name":"Linearization","score":0.6978084444999695},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6557260155677795},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.5969632863998413},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5707150101661682},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5007095336914062},{"id":"https://openalex.org/keywords/epidemic-model","display_name":"Epidemic model","score":0.4806562662124634},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.4797954857349396},{"id":"https://openalex.org/keywords/basic-reproduction-number","display_name":"Basic reproduction number","score":0.4584055244922638},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.45157188177108765},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.435238242149353},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.42378124594688416},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.4175620675086975},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3524777293205261},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19257718324661255},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.0838807225227356},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.07949438691139221},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07739800214767456}],"concepts":[{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.6978084444999695},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6557260155677795},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.5969632863998413},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5707150101661682},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5007095336914062},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.4806562662124634},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.4797954857349396},{"id":"https://openalex.org/C204264503","wikidata":"https://www.wikidata.org/wiki/Q901464","display_name":"Basic reproduction number","level":3,"score":0.4584055244922638},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.45157188177108765},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.435238242149353},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.42378124594688416},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.4175620675086975},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3524777293205261},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19257718324661255},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.0838807225227356},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.07949438691139221},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07739800214767456},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2022/3846904","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2022/3846904","pdf_url":"https://downloads.hindawi.com/journals/complexity/2022/3846904.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:3846904","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/complexity/2022/3846904.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:88990d68676b4398b714cd9c32d6e10d","is_oa":true,"landing_page_url":"https://doaj.org/article/88990d68676b4398b714cd9c32d6e10d","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2022 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2022/3846904","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2022/3846904","pdf_url":"https://downloads.hindawi.com/journals/complexity/2022/3846904.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":[{"score":0.8600000143051147,"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3"}],"awards":[{"id":"https://openalex.org/G1709596397","display_name":null,"funder_award_id":"12S086","funder_id":"https://openalex.org/F4320323593","funder_display_name":"United Arab Emirates University"},{"id":"https://openalex.org/G6471756024","display_name":null,"funder_award_id":"24-S-2020","funder_id":"https://openalex.org/F4320324433","funder_display_name":"King Khalid University"}],"funders":[{"id":"https://openalex.org/F4320323593","display_name":"United Arab Emirates University","ror":"https://ror.org/01km6p862"},{"id":"https://openalex.org/F4320324433","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4297347245.pdf","grobid_xml":"https://content.openalex.org/works/W4297347245.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W611121171","https://openalex.org/W902939226","https://openalex.org/W1587308833","https://openalex.org/W1850511188","https://openalex.org/W1972658648","https://openalex.org/W1992696223","https://openalex.org/W2016448831","https://openalex.org/W2032259296","https://openalex.org/W2054312336","https://openalex.org/W2077438717","https://openalex.org/W2145566480","https://openalex.org/W2149508011","https://openalex.org/W2267026097","https://openalex.org/W2292604711","https://openalex.org/W2551385843","https://openalex.org/W2556784265","https://openalex.org/W2569426430","https://openalex.org/W2605896013","https://openalex.org/W2726425083","https://openalex.org/W2756553417","https://openalex.org/W2803950456","https://openalex.org/W2913566113","https://openalex.org/W2963798344","https://openalex.org/W2969617142","https://openalex.org/W3001171417","https://openalex.org/W3002764620","https://openalex.org/W3003573988","https://openalex.org/W3004239190","https://openalex.org/W3004912618","https://openalex.org/W3026420328","https://openalex.org/W3027645126","https://openalex.org/W3030631368","https://openalex.org/W3030736352","https://openalex.org/W3031209935","https://openalex.org/W3041852941","https://openalex.org/W3043430581","https://openalex.org/W3081945072","https://openalex.org/W3106778318","https://openalex.org/W3126459070","https://openalex.org/W3153200327","https://openalex.org/W3164248124","https://openalex.org/W3193015995","https://openalex.org/W3217632077","https://openalex.org/W4239975174"],"related_works":["https://openalex.org/W4320351350","https://openalex.org/W2230721379","https://openalex.org/W2376250553","https://openalex.org/W3138234900","https://openalex.org/W2356839139","https://openalex.org/W4388177052","https://openalex.org/W3113377908","https://openalex.org/W2032448025","https://openalex.org/W4293088316","https://openalex.org/W4283071132"],"abstract_inverted_index":{"We":[0,17,37,45,56],"propose":[1],"a":[2,19],"theoretical":[3],"study":[4],"to":[5,34,70,92,102,150],"investigate":[6],"the":[7,10,24,27,39,48,58,62,72,79,94,98,105,116,122,129,132],"spread":[8],"of":[9,26,61,74,97,121,131],"SARS\u2010CoV\u20102":[11],"virus,":[12],"reported":[13],"in":[14],"Wuhan,":[15],"China.":[16],"develop":[18],"mathematical":[20],"model":[21,50,64,100,108,124],"based":[22],"on":[23,82],"characteristic":[25],"disease":[28,83],"and":[29,53,65,78,101,118,138],"then":[30],"use":[31,38],"fractional":[32],"calculus":[33],"fractionalize":[35],"it.":[36],"Caputo-Fabrizio":[40],"operator":[41],"for":[42],"this":[43],"purpose.":[44],"prove":[46],"that":[47,104],"considered":[49],"has":[51],"positive":[52],"bounded":[54],"solutions.":[55],"calculate":[57],"threshold":[59,86],"quantity":[60,87],"proposed":[63,99,106,123],"discuss":[66,93],"its":[67],"sensitivity":[68],"analysis":[69],"find":[71,103],"role":[73],"every":[75],"epidemic":[76,107],"parameter":[77],"relative":[80],"impact":[81],"transmission.":[84],"The":[85],"(reproductive":[88],"number)":[89],"is":[90,109],"used":[91],"steady":[95],"states":[96],"stable":[110],"asymptotically":[111],"under":[112],"some":[113,147],"constraints.":[114],"Both":[115],"global":[117],"local":[119],"properties":[120],"will":[125],"be":[126],"performed":[127],"with":[128,152],"help":[130],"mean":[133],"value":[134],"theorem,":[135],"Barbalat\u2019s":[136],"lemma,":[137],"linearization.":[139],"To":[140],"support":[141],"our":[142],"analytical":[143],"findings,":[144],"we":[145],"draw":[146],"numerical":[148],"simulations":[149],"verify":[151],"graphical":[153],"representations.":[154]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}