{"id":"https://openalex.org/W3207272213","doi":"https://doi.org/10.1155/2021/1805651","title":"Analysis of a Tuberculosis Infection Model considering the Influence of Saturated Recovery (Treatment)","display_name":"Analysis of a Tuberculosis Infection Model considering the Influence of Saturated Recovery (Treatment)","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3207272213","doi":"https://doi.org/10.1155/2021/1805651","mag":"3207272213"},"language":"en","primary_location":{"id":"doi:10.1155/2021/1805651","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/1805651","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/1805651.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/2021/1805651.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072919253","display_name":"Fatima Sulayman","orcid":"https://orcid.org/0000-0001-6164-414X"},"institutions":[{"id":"https://openalex.org/I139322472","display_name":"Universiti Sains Malaysia","ror":"https://ror.org/02rgb2k63","country_code":"MY","type":"education","lineage":["https://openalex.org/I139322472"]},{"id":"https://openalex.org/I4210151986","display_name":"Ibrahim Badamasi Babangida University","ror":"https://ror.org/05chrxg27","country_code":"NG","type":"education","lineage":["https://openalex.org/I4210151986"]}],"countries":["MY","NG"],"is_corresponding":false,"raw_author_name":"Fatima Sulayman","raw_affiliation_strings":["Department of Mathematical Sciences, Ibrahim Badamasi Babangida University, Lapai, P. M. B. 11, Niger State, Nigeria","School of Mathematical Sciences, Universiti Sains Malaysia USM, 11800 Penang, Malaysia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Ibrahim Badamasi Babangida University, Lapai, P. M. B. 11, Niger State, Nigeria","institution_ids":["https://openalex.org/I4210151986"]},{"raw_affiliation_string":"School of Mathematical Sciences, Universiti Sains Malaysia USM, 11800 Penang, Malaysia","institution_ids":["https://openalex.org/I139322472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019785333","display_name":"Farah Aini Abdullah","orcid":"https://orcid.org/0000-0002-5215-9617"},"institutions":[{"id":"https://openalex.org/I139322472","display_name":"Universiti Sains Malaysia","ror":"https://ror.org/02rgb2k63","country_code":"MY","type":"education","lineage":["https://openalex.org/I139322472"]}],"countries":["MY"],"is_corresponding":true,"raw_author_name":"Farah Aini Abdullah","raw_affiliation_strings":["School of Mathematical Sciences, Universiti Sains Malaysia USM, 11800 Penang, Malaysia"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Universiti Sains Malaysia USM, 11800 Penang, Malaysia","institution_ids":["https://openalex.org/I139322472"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019785333"],"corresponding_institution_ids":["https://openalex.org/I139322472"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.9815,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.77576512,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"2021","issue":"1","first_page":null,"last_page":null},"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":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9997000098228455,"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/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9768000245094299,"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/bifurcation","display_name":"Bifurcation","score":0.6596863269805908},{"id":"https://openalex.org/keywords/tuberculosis","display_name":"Tuberculosis","score":0.6180469989776611},{"id":"https://openalex.org/keywords/basic-reproduction-number","display_name":"Basic reproduction number","score":0.5752734541893005},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5316873788833618},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5291510224342346},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5269872546195984},{"id":"https://openalex.org/keywords/mycobacterium-tuberculosis","display_name":"Mycobacterium tuberculosis","score":0.5112943649291992},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5079920887947083},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.4830668568611145},{"id":"https://openalex.org/keywords/saturation","display_name":"Saturation (graph theory)","score":0.4817409813404083},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.46870654821395874},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45219147205352783},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25617581605911255},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.18099159002304077},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17533251643180847},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16719648241996765},{"id":"https://openalex.org/keywords/environmental-health","display_name":"Environmental health","score":0.0775081217288971}],"concepts":[{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6596863269805908},{"id":"https://openalex.org/C2781069245","wikidata":"https://www.wikidata.org/wiki/Q12204","display_name":"Tuberculosis","level":2,"score":0.6180469989776611},{"id":"https://openalex.org/C204264503","wikidata":"https://www.wikidata.org/wiki/Q901464","display_name":"Basic reproduction number","level":3,"score":0.5752734541893005},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5316873788833618},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5291510224342346},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5269872546195984},{"id":"https://openalex.org/C2777975735","wikidata":"https://www.wikidata.org/wiki/Q130971","display_name":"Mycobacterium tuberculosis","level":3,"score":0.5112943649291992},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5079920887947083},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.4830668568611145},{"id":"https://openalex.org/C9930424","wikidata":"https://www.wikidata.org/wiki/Q7426587","display_name":"Saturation (graph theory)","level":2,"score":0.4817409813404083},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.46870654821395874},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45219147205352783},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25617581605911255},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.18099159002304077},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17533251643180847},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16719648241996765},{"id":"https://openalex.org/C99454951","wikidata":"https://www.wikidata.org/wiki/Q932068","display_name":"Environmental health","level":1,"score":0.0775081217288971},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"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/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2021/1805651","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/1805651","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/1805651.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:1805651","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/complexity/2021/1805651.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:b04091ea7ba2482793f138a47cf3af03","is_oa":true,"landing_page_url":"https://doaj.org/article/b04091ea7ba2482793f138a47cf3af03","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":"Complexity, Vol 2021 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2021/1805651","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/1805651","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/1805651.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":[{"display_name":"Good health and well-being","score":0.8899999856948853,"id":"https://metadata.un.org/sdg/3"}],"awards":[{"id":"https://openalex.org/G5619354133","display_name":null,"funder_award_id":"FRGS/2021/STG06/USM/02/9","funder_id":"https://openalex.org/F4320322757","funder_display_name":"Universiti Sains Malaysia"}],"funders":[{"id":"https://openalex.org/F4320322757","display_name":"Universiti Sains Malaysia","ror":"https://ror.org/02rgb2k63"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3207272213.pdf","grobid_xml":"https://content.openalex.org/works/W3207272213.grobid-xml"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W94176095","https://openalex.org/W1604213221","https://openalex.org/W1823724268","https://openalex.org/W1968692669","https://openalex.org/W1972538977","https://openalex.org/W1985601696","https://openalex.org/W2007993785","https://openalex.org/W2012620166","https://openalex.org/W2015074865","https://openalex.org/W2016767093","https://openalex.org/W2021321360","https://openalex.org/W2026879733","https://openalex.org/W2035689667","https://openalex.org/W2036350807","https://openalex.org/W2043894577","https://openalex.org/W2057761253","https://openalex.org/W2059655508","https://openalex.org/W2073022872","https://openalex.org/W2075489080","https://openalex.org/W2075737090","https://openalex.org/W2076668465","https://openalex.org/W2081047588","https://openalex.org/W2085451305","https://openalex.org/W2085788930","https://openalex.org/W2090164739","https://openalex.org/W2114485289","https://openalex.org/W2151994974","https://openalex.org/W2156589521","https://openalex.org/W2165395665","https://openalex.org/W2171580218","https://openalex.org/W2280729749","https://openalex.org/W2475038746","https://openalex.org/W2783191534","https://openalex.org/W2894443826","https://openalex.org/W2926672019","https://openalex.org/W2954917564","https://openalex.org/W2956066726","https://openalex.org/W3009705041","https://openalex.org/W3080351972","https://openalex.org/W3085826100","https://openalex.org/W3109800337","https://openalex.org/W3119123197","https://openalex.org/W3127030059","https://openalex.org/W4210417410","https://openalex.org/W4249481540","https://openalex.org/W4292156591","https://openalex.org/W4298846697","https://openalex.org/W4299800586"],"related_works":["https://openalex.org/W2210722882","https://openalex.org/W2372335318","https://openalex.org/W2253278609","https://openalex.org/W2291742240","https://openalex.org/W2511412881","https://openalex.org/W4320351350","https://openalex.org/W2372947689","https://openalex.org/W2009249058","https://openalex.org/W2009168760","https://openalex.org/W3203592860"],"abstract_inverted_index":{"Tuberculosis":[0],"(TB)":[1],"is":[2,9,17,94,111,136,140],"a":[3,22,31,104],"serious":[4],"global":[5,121],"health":[6],"threat":[7],"that":[8,90,106,108,128,139],"caused":[10],"by":[11],"the":[12,38,55,77,91,97,109,116,129,137,145],"bacterium":[13],"Mycobacterium":[14],"tuberculosis":[15],",":[16],"extremely":[18],"infectious,":[19],"and":[20,47,70,80],"has":[21,50],"high":[23],"mortality":[24],"rate.":[25],"In":[26],"this":[27],"paper,":[28],"we":[29],"developed":[30],"model":[32,63,110],"of":[33,40,45,99,131,133],"TB":[34,134,142],"infection":[35,135],"to":[36,84,120],"predict":[37],"impact":[39],"saturated":[41],"recovery.":[42],"The":[43,62,123],"existence":[44],"equilibrium":[46],"its":[48],"stability":[49],"been":[51],"investigated":[52],"based":[53],"on":[54],"effective":[56],"reproduction":[57],"number":[58],"R":[59],"C":[60],".":[61],"displays":[64],"interesting":[65],"dynamics,":[66],"including":[67],"backward":[68,100],"bifurcation":[69],"Hopf":[71],"bifurcation,":[72],"which":[73],"further":[74],"results":[75],"in":[76,144],"stable":[78,81,114],"disease\u2010free":[79],"endemic":[82],"equilibria":[83],"be":[85],"coexisting.":[86],"Bifurcation":[87],"analysis":[88],"demonstrates":[89],"saturation":[92,132],"parameter":[93],"accountable":[95],"for":[96],"phenomenon":[98],"bifurcation.":[101],"We":[102],"derive":[103],"condition":[105],"guarantees":[107],"globally":[112],"asymptotically":[113],"using":[115],"Lyapunov":[117],"function":[118],"approach":[119],"stability.":[122],"numerical":[124],"simulation":[125],"also":[126],"reveals":[127],"extent":[130],"mechanism":[138],"fuelling":[141],"disease":[143],"population.":[146]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
