{"id":"https://openalex.org/W4388043200","doi":"https://doi.org/10.3389/fams.2023.1264201","title":"Modeling and bifurcation analysis of tuberculosis with the multidrug-resistant compartment incorporating chemoprophylaxis treatment","display_name":"Modeling and bifurcation analysis of tuberculosis with the multidrug-resistant compartment incorporating chemoprophylaxis treatment","publication_year":2023,"publication_date":"2023-10-31","ids":{"openalex":"https://openalex.org/W4388043200","doi":"https://doi.org/10.3389/fams.2023.1264201"},"language":"en","primary_location":{"id":"doi:10.3389/fams.2023.1264201","doi":"https://doi.org/10.3389/fams.2023.1264201","is_oa":true,"landing_page_url":"https://doi.org/10.3389/fams.2023.1264201","pdf_url":"https://www.frontiersin.org/articles/10.3389/fams.2023.1264201/pdf?isPublishedV2=False","source":{"id":"https://openalex.org/S2597085352","display_name":"Frontiers in Applied Mathematics and Statistics","issn_l":"2297-4687","issn":["2297-4687"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","norway-1","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Applied Mathematics and Statistics","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://www.frontiersin.org/articles/10.3389/fams.2023.1264201/pdf?isPublishedV2=False","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039164017","display_name":"Damtew Bewket Kitaro","orcid":"https://orcid.org/0000-0001-5841-7851","observed_orcids":["https://orcid.org/0000-0001-5841-7851"]},"institutions":[{"id":"https://openalex.org/I301615471","display_name":"Wollega University","ror":"https://ror.org/00316zc91","country_code":"ET","type":"education","lineage":["https://openalex.org/I301615471"]}],"countries":["ET"],"is_corresponding":true,"raw_author_name":"Damtew Bewket Kitaro","raw_affiliation_strings":["Department of Mathematics, College of Natural Science, Wollega University, Nekemte, Ethiopia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Natural Science, Wollega University, Nekemte, Ethiopia","institution_ids":["https://openalex.org/I301615471"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021065493","display_name":"Boka Kumsa Bole","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I301615471","display_name":"Wollega University","ror":"https://ror.org/00316zc91","country_code":"ET","type":"education","lineage":["https://openalex.org/I301615471"]}],"countries":["ET"],"is_corresponding":false,"raw_author_name":"Boka Kumsa Bole","raw_affiliation_strings":["Department of Mathematics, College of Natural Science, Wollega University, Nekemte, Ethiopia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Natural Science, Wollega University, Nekemte, Ethiopia","institution_ids":["https://openalex.org/I301615471"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087497643","display_name":"Purnachandra Rao Koya","orcid":"https://orcid.org/0000-0002-5031-971X","observed_orcids":["https://orcid.org/0000-0002-5031-971X"]},"institutions":[{"id":"https://openalex.org/I301615471","display_name":"Wollega University","ror":"https://ror.org/00316zc91","country_code":"ET","type":"education","lineage":["https://openalex.org/I301615471"]}],"countries":["ET"],"is_corresponding":false,"raw_author_name":"Koya Purnachandra Rao","raw_affiliation_strings":["Department of Mathematics, College of Natural Science, Wollega University, Nekemte, Ethiopia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Natural Science, Wollega University, Nekemte, Ethiopia","institution_ids":["https://openalex.org/I301615471"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5039164017"],"corresponding_institution_ids":["https://openalex.org/I301615471"],"apc_list":{"value":1285,"currency":"USD","value_usd":1285},"apc_paid":{"value":1285,"currency":"USD","value_usd":1285},"fwci":2.1434,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.85740387,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":97},"biblio":{"volume":"9","issue":null,"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":0.9976000189781189,"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":0.9976000189781189,"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/T10038","display_name":"Tuberculosis Research and Epidemiology","score":0.00139999995008111,"subfield":{"id":"https://openalex.org/subfields/2725","display_name":"Infectious Diseases"},"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":0.00019999999494757503,"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/tuberculosis","display_name":"tuberculosis","score":0.9819999933242798},{"id":"https://openalex.org/keywords/multidrug-resistant-tuberculosis","display_name":"multidrug-resistant tuberculosis","score":0.9869999885559082},{"id":"https://openalex.org/keywords/chemoprophylaxis","display_name":"chemoprophylaxis","score":0.9919999837875366},{"id":"https://openalex.org/keywords/disease-transmission-dynamics","display_name":"disease transmission dynamics","score":0.6320000290870667},{"id":"https://openalex.org/keywords/latent-tuberculosis-infection","display_name":"latent tuberculosis infection","score":0.5270000100135803},{"id":"https://openalex.org/keywords/endemic-equilibrium","display_name":"endemic equilibrium","score":0.6359999775886536},{"id":"https://openalex.org/keywords/disease-free-equilibrium","display_name":"disease-free equilibrium","score":0.9700000286102295},{"id":"https://openalex.org/keywords/basic-reproduction-number","display_name":"basic reproduction number","score":0.8700000047683716},{"id":"https://openalex.org/keywords/forward-bifurcation","display_name":"forward bifurcation","score":0.8700000047683716},{"id":"https://openalex.org/keywords/global-stability","display_name":"global stability","score":0.652999997138977},{"id":"https://openalex.org/keywords/sensitivity-analysis","display_name":"sensitivity analysis","score":0.8410000205039978}],"concepts":[{"id":"https://openalex.org/C2776688490","wikidata":"https://www.wikidata.org/wiki/Q1069606","display_name":"Chemoprophylaxis","level":2,"score":0.8728402853012085},{"id":"https://openalex.org/C2781069245","wikidata":"https://www.wikidata.org/wiki/Q12204","display_name":"Tuberculosis","level":2,"score":0.6471390724182129},{"id":"https://openalex.org/C524204448","wikidata":"https://www.wikidata.org/wiki/Q788926","display_name":"Infectious disease (medical specialty)","level":3,"score":0.5773045420646667},{"id":"https://openalex.org/C2779134260","wikidata":"https://www.wikidata.org/wiki/Q12136","display_name":"Disease","level":2,"score":0.5707199573516846},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.524958610534668},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.4994175434112549},{"id":"https://openalex.org/C114851261","wikidata":"https://www.wikidata.org/wiki/Q12147416","display_name":"Drug resistance","level":2,"score":0.4524593949317932},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.44550880789756775},{"id":"https://openalex.org/C2780035454","wikidata":"https://www.wikidata.org/wiki/Q8386","display_name":"Drug","level":2,"score":0.44116440415382385},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.2620580196380615},{"id":"https://openalex.org/C141071460","wikidata":"https://www.wikidata.org/wiki/Q40821","display_name":"Surgery","level":1,"score":0.23961353302001953},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.21301627159118652},{"id":"https://openalex.org/C98274493","wikidata":"https://www.wikidata.org/wiki/Q128406","display_name":"Pharmacology","level":1,"score":0.1794435977935791},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17727595567703247},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.1389804482460022},{"id":"https://openalex.org/C89423630","wikidata":"https://www.wikidata.org/wiki/Q7193","display_name":"Microbiology","level":1,"score":0.1127447783946991},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08494997024536133},{"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/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3389/fams.2023.1264201","doi":"https://doi.org/10.3389/fams.2023.1264201","is_oa":true,"landing_page_url":"https://doi.org/10.3389/fams.2023.1264201","pdf_url":"https://www.frontiersin.org/articles/10.3389/fams.2023.1264201/pdf?isPublishedV2=False","source":{"id":"https://openalex.org/S2597085352","display_name":"Frontiers in Applied Mathematics and Statistics","issn_l":"2297-4687","issn":["2297-4687"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","norway-1","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Applied Mathematics and Statistics","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:f212157b45d341a0a7fb9dbcf5a71889","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/f212157b45d341a0a7fb9dbcf5a71889","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":"Frontiers in Applied Mathematics and Statistics, Vol 9 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3389/fams.2023.1264201","doi":"https://doi.org/10.3389/fams.2023.1264201","is_oa":true,"landing_page_url":"https://doi.org/10.3389/fams.2023.1264201","pdf_url":"https://www.frontiersin.org/articles/10.3389/fams.2023.1264201/pdf?isPublishedV2=False","source":{"id":"https://openalex.org/S2597085352","display_name":"Frontiers in Applied Mathematics and Statistics","issn_l":"2297-4687","issn":["2297-4687"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","norway-1","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Applied Mathematics and Statistics","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.9763000011444092,"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4388043200.pdf","grobid_xml":"https://content.openalex.org/works/W4388043200.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1979967420","https://openalex.org/W2006143908","https://openalex.org/W2032671201","https://openalex.org/W2047967831","https://openalex.org/W2077109114","https://openalex.org/W2085451305","https://openalex.org/W2097575785","https://openalex.org/W2112680994","https://openalex.org/W2119050822","https://openalex.org/W2145523496","https://openalex.org/W2161728228","https://openalex.org/W2163966557","https://openalex.org/W2229284042","https://openalex.org/W2427531395","https://openalex.org/W2493299873","https://openalex.org/W2926672019","https://openalex.org/W3078457651","https://openalex.org/W4224214794","https://openalex.org/W6674888918"],"related_works":["https://openalex.org/W4392787948","https://openalex.org/W2961304024","https://openalex.org/W2123379758","https://openalex.org/W3100891564","https://openalex.org/W7202262648","https://openalex.org/W4402159449","https://openalex.org/W2187063382","https://openalex.org/W2060685872","https://openalex.org/W2006143908","https://openalex.org/W7118001282"],"abstract_inverted_index":{"Tuberculosis":[0,30],"is":[1,32,66,93],"a":[2,43,180],"major":[3],"health":[4],"problem":[5],"that":[6,19,88,127,155],"contributes":[7],"significantly":[8,164],"to":[9,46,159,171,179],"infectious":[10,173],"disease":[11,187],"mortality":[12],"worldwide.":[13],"A":[14,113],"new":[15],"challenge":[16],"for":[17,29,97,109],"society":[18],"demands":[20],"extensive":[21],"work":[22],"toward":[23],"implementing":[24],"the":[25,33,48,54,59,73,84,102,119,128,136,140,166,172,183,186],"right":[26],"control":[27],"strategies":[28],"(TB)":[31],"emergence":[34],"of":[35,50,56,64,75,83,132,139,168,185],"drug-resistant":[36,60,175],"TB.":[37],"In":[38],"this":[39],"study,":[40],"we":[41],"developed":[42],"mathematical":[44],"model":[45,85,129,141],"investigate":[47],"effect":[49],"chemoprophylaxis":[51,157],"treatment":[52,158],"on":[53],"transmission":[55,184],"tuberculosis":[57],"with":[58,69,161],"compartment.":[61],"An":[62],"analysis":[63,86,115,138],"stabilities":[65],"performed":[67,117],"along":[68],"an":[70],"investigation":[71],"into":[72],"possibility":[74],"endemic":[76,103],"and":[77,123,146,174],"disease-free":[78],"equilibrium.":[79],"The":[80],"qualitative":[81],"outcome":[82],"shows":[87,130],"Disease":[89],"Free":[90],"Equilibrium":[91],"(DFE)":[92],"locally":[94],"asymptotically":[95,107],"stable":[96,108],"R0":[98,110],"<":[99],"1,":[100],"but":[101],"equilibrium":[104],"becomes":[105],"globally":[106],">":[111],"1.":[112],"bifurcation":[114],"was":[116,125,142,149],"using":[118],"center":[120],"manifold":[121],"theorem,":[122],"it":[124],"found":[126],"evidence":[131],"forward":[133],"bifurcation.":[134],"Furthermore,":[135],"sensitivity":[137],"thoroughly":[143],"carried":[144],"out,":[145],"numerical":[147],"simulation":[148],"also":[150],"performed.":[151],"This":[152],"study":[153],"showed":[154],"administering":[156],"individuals":[160,170],"latent":[162],"infections":[163],"reduces":[165],"progression":[167],"exposed":[169],"classes,":[176],"ultimately":[177],"leading":[178],"reduction":[181],"in":[182],"at":[188],"large.":[189]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2023-11-01T00:00:00"}
