{"id":"https://openalex.org/W4366824264","doi":"https://doi.org/10.1155/2023/2831846","title":"Analysis of Turberculosis\u2010COVID\u201019 Coinfection Using Fractional Derivatives","display_name":"Analysis of Turberculosis\u2010COVID\u201019 Coinfection Using Fractional Derivatives","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4366824264","doi":"https://doi.org/10.1155/2023/2831846"},"language":"en","primary_location":{"id":"doi:10.1155/2023/2831846","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2023/2831846","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2023/2831846.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"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":"International Journal of Mathematics and Mathematical Sciences","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/ijmms/2023/2831846.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055261002","display_name":"Samuel Okyere","orcid":"https://orcid.org/0000-0001-6262-1628"},"institutions":[{"id":"https://openalex.org/I28046988","display_name":"Kwame Nkrumah University of Science and Technology","ror":"https://ror.org/00cb23x68","country_code":"GH","type":"education","lineage":["https://openalex.org/I28046988"]}],"countries":["GH"],"is_corresponding":true,"raw_author_name":"Samuel Okyere","raw_affiliation_strings":["Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi"],"raw_orcid":"https://orcid.org/0000-0001-6262-1628","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi","institution_ids":["https://openalex.org/I28046988"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006097354","display_name":"Joseph Ackora-Prah","orcid":"https://orcid.org/0000-0001-9488-9610"},"institutions":[{"id":"https://openalex.org/I28046988","display_name":"Kwame Nkrumah University of Science and Technology","ror":"https://ror.org/00cb23x68","country_code":"GH","type":"education","lineage":["https://openalex.org/I28046988"]}],"countries":["GH"],"is_corresponding":false,"raw_author_name":"Joseph Ackora-Prah","raw_affiliation_strings":["Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi"],"raw_orcid":"https://orcid.org/0000-0001-9488-9610","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi","institution_ids":["https://openalex.org/I28046988"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077817609","display_name":"Saleem Abdullah","orcid":"https://orcid.org/0000-0002-7474-5115"},"institutions":[{"id":"https://openalex.org/I181063083","display_name":"Abdul Wali Khan University Mardan","ror":"https://ror.org/03b9y4e65","country_code":"PK","type":"education","lineage":["https://openalex.org/I181063083"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Saleem Abdullah","raw_affiliation_strings":["Department of Mathematics, Abdul Wali Khan University, Mardan, Khyber Pakhtunkhwa"],"raw_orcid":"https://orcid.org/0000-0002-7474-5115","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Abdul Wali Khan University, Mardan, Khyber Pakhtunkhwa","institution_ids":["https://openalex.org/I181063083"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052818477","display_name":"Samuel Akwasi Adarkwa","orcid":"https://orcid.org/0000-0002-1610-9225"},"institutions":[{"id":"https://openalex.org/I2801516365","display_name":"Kumasi Technical University","ror":"https://ror.org/00qgpp207","country_code":"GH","type":"education","lineage":["https://openalex.org/I2801516365"]}],"countries":["GH"],"is_corresponding":false,"raw_author_name":"Samuel Akwasi Adarkwa","raw_affiliation_strings":["Department of Statistical Sciences, Kumasi Technical University, Kumasi"],"raw_orcid":"https://orcid.org/0000-0002-1610-9225","affiliations":[{"raw_affiliation_string":"Department of Statistical Sciences, Kumasi Technical University, Kumasi","institution_ids":["https://openalex.org/I2801516365"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081252216","display_name":"Frank Kofi Owusu","orcid":"https://orcid.org/0000-0001-6517-6849"},"institutions":[{"id":"https://openalex.org/I2801516365","display_name":"Kumasi Technical University","ror":"https://ror.org/00qgpp207","country_code":"GH","type":"education","lineage":["https://openalex.org/I2801516365"]}],"countries":["GH"],"is_corresponding":false,"raw_author_name":"Frank Kofi Owusu","raw_affiliation_strings":["Department of Statistical Sciences, Kumasi Technical University, Kumasi"],"raw_orcid":"https://orcid.org/0000-0001-6517-6849","affiliations":[{"raw_affiliation_string":"Department of Statistical Sciences, Kumasi Technical University, Kumasi","institution_ids":["https://openalex.org/I2801516365"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007806195","display_name":"Kwame Bonsu","orcid":null},"institutions":[{"id":"https://openalex.org/I4210164771","display_name":"Sunyani Technical University","ror":"https://ror.org/05sc3yb31","country_code":"GH","type":"education","lineage":["https://openalex.org/I4210164771"]}],"countries":["GH"],"is_corresponding":false,"raw_author_name":"Kwame Bonsu","raw_affiliation_strings":["Department of Mathematics, Sunyani Technical University, Sunyani"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sunyani Technical University, Sunyani","institution_ids":["https://openalex.org/I4210164771"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063612060","display_name":"Mary Osei Fokuo","orcid":"https://orcid.org/0000-0002-5494-220X"},"institutions":[{"id":"https://openalex.org/I28046988","display_name":"Kwame Nkrumah University of Science and Technology","ror":"https://ror.org/00cb23x68","country_code":"GH","type":"education","lineage":["https://openalex.org/I28046988"]}],"countries":["GH"],"is_corresponding":false,"raw_author_name":"Mary Osei Fokuo","raw_affiliation_strings":["Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi"],"raw_orcid":"https://orcid.org/0000-0002-5494-220X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi","institution_ids":["https://openalex.org/I28046988"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008240293","display_name":"Mary Ann Yeboah","orcid":null},"institutions":[{"id":"https://openalex.org/I2801516365","display_name":"Kumasi Technical University","ror":"https://ror.org/00qgpp207","country_code":"GH","type":"education","lineage":["https://openalex.org/I2801516365"]}],"countries":["GH"],"is_corresponding":false,"raw_author_name":"Mary Ann Yeboah","raw_affiliation_strings":["Department of Statistical Sciences, Kumasi Technical University, Kumasi"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistical Sciences, Kumasi Technical University, Kumasi","institution_ids":["https://openalex.org/I2801516365"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":8,"corresponding_author_ids":["https://openalex.org/A5055261002"],"corresponding_institution_ids":["https://openalex.org/I28046988"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":1.2663,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.7619155,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"2023","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":0.9998999834060669,"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":0.9998999834060669,"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":0.9976000189781189,"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":0.9462000131607056,"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/mathematics","display_name":"Mathematics","score":0.857639729976654},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.7100735902786255},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6730324029922485},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5678029656410217},{"id":"https://openalex.org/keywords/coinfection","display_name":"Coinfection","score":0.5161033868789673},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4928443431854248},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.46168842911720276},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.4221237897872925},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.4197099804878235},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24193459749221802},{"id":"https://openalex.org/keywords/human-immunodeficiency-virus","display_name":"Human immunodeficiency virus (HIV)","score":0.14056119322776794},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.07380810379981995}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.857639729976654},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.7100735902786255},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6730324029922485},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5678029656410217},{"id":"https://openalex.org/C2777813720","wikidata":"https://www.wikidata.org/wiki/Q1243018","display_name":"Coinfection","level":3,"score":0.5161033868789673},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4928443431854248},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.46168842911720276},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.4221237897872925},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.4197099804878235},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24193459749221802},{"id":"https://openalex.org/C3013748606","wikidata":"https://www.wikidata.org/wiki/Q15787","display_name":"Human immunodeficiency virus (HIV)","level":2,"score":0.14056119322776794},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.07380810379981995},{"id":"https://openalex.org/C512399662","wikidata":"https://www.wikidata.org/wiki/Q3505712","display_name":"Family medicine","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},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2023/2831846","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2023/2831846","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2023/2831846.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"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":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jijmms:2831846","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/ijmms/2023/2831846.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:2d2c1c7d1c934ca8a1efc14ae55131c0","is_oa":true,"landing_page_url":"https://doaj.org/article/2d2c1c7d1c934ca8a1efc14ae55131c0","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,"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":"International Journal of Mathematics and Mathematical Sciences, Vol 2023 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2023/2831846","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2023/2831846","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2023/2831846.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"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":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","score":0.6200000047683716,"display_name":"Good health and well-being"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320327422","display_name":"Kwame Nkrumah University of Science and Technology","ror":"https://ror.org/00cb23x68"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4366824264.pdf"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1994146628","https://openalex.org/W2092837422","https://openalex.org/W2277623713","https://openalex.org/W2300705350","https://openalex.org/W2337183480","https://openalex.org/W2883589886","https://openalex.org/W2909433992","https://openalex.org/W2910935410","https://openalex.org/W2963641381","https://openalex.org/W3021665044","https://openalex.org/W3032060038","https://openalex.org/W3034324564","https://openalex.org/W3036284476","https://openalex.org/W3084613279","https://openalex.org/W3085826100","https://openalex.org/W3092054641","https://openalex.org/W3101877304","https://openalex.org/W3106757623","https://openalex.org/W3130885860","https://openalex.org/W3164422388","https://openalex.org/W3174705187","https://openalex.org/W3198747064","https://openalex.org/W3207013555","https://openalex.org/W3214775034","https://openalex.org/W4200510282","https://openalex.org/W4221089140","https://openalex.org/W4282040625"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W3023806604","https://openalex.org/W2136221378","https://openalex.org/W2952139525","https://openalex.org/W4301247218","https://openalex.org/W2129818458","https://openalex.org/W4243074410","https://openalex.org/W4289551052","https://openalex.org/W4390756076"],"abstract_inverted_index":{"Fractional\u2010order":[0],"derivative":[1],"modeling":[2],"continues":[3],"to":[4,99],"receive":[5],"great":[6],"interest":[7],"among":[8],"researchers":[9],"across":[10],"the":[11,30,35,39,46,52,68,76,87,101,105,111,117,120],"globe.":[12],"In":[13],"this":[14],"study,":[15],"Tuberculosis\u2010COVID\u201019":[16],"coinfection":[17],"is":[18],"studied":[19],"using":[20,67],"Atangana\u2013Baleanu":[21],"fractional\u2010order":[22,88],"derivatives":[23],"defined":[24],"in":[25,49,110],"Caputo":[26],"sense.":[27],"We":[28,72],"confirmed":[29],"existence":[31],"and":[32,37,54],"singularity":[33],"of":[34,51,104,113],"solution":[36],"investigated":[38],"model\u2019s":[40,47,77],"equilibrium":[41,79],"points.":[42],"Additionally,":[43],"we":[44],"examined":[45],"stability":[48,57],"terms":[50],"Ulam\u2013Hyers":[53,56],"generalized":[55],"criteria.":[58],"The":[59],"basic":[60],"reproduction":[61],"number":[62,112],"R":[63],"0":[64],"was":[65,123],"calculated":[66],"next\u2010generation":[69],"matrix":[70],"approach.":[71],"also":[73],"looked":[74],"into":[75],"disease\u2010free":[78],"point\u2019s":[80],"regional":[81],"stability.":[82],"Numerical":[83,95],"scheme":[84],"for":[85],"simulating":[86],"system":[89],"with":[90],"Mittag\u2013Leffler":[91],"Kernels":[92],"are":[93,97],"presented.":[94],"simulations":[96],"given":[98],"validate":[100],"model.":[102],"Results":[103],"simulation":[106],"showed":[107],"a":[108],"decline":[109],"COVID\u201019":[114],"infections":[115],"within":[116],"population":[118],"when":[119],"fractional":[121],"operator":[122],"reduced.":[124]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3}],"updated_date":"2026-06-04T09:04:59.091469","created_date":"2025-10-10T00:00:00"}
