{"id":"https://openalex.org/W4311373026","doi":"https://doi.org/10.3390/axioms11120723","title":"Dynamical Behaviour of a Modified Tuberculosis Model with Impact of Public Health Education and Hospital Treatment","display_name":"Dynamical Behaviour of a Modified Tuberculosis Model with Impact of Public Health Education and Hospital Treatment","publication_year":2022,"publication_date":"2022-12-13","ids":{"openalex":"https://openalex.org/W4311373026","doi":"https://doi.org/10.3390/axioms11120723"},"language":"en","primary_location":{"id":"doi:10.3390/axioms11120723","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11120723","pdf_url":"https://www.mdpi.com/2075-1680/11/12/723/pdf?version=1670907188","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/11/12/723/pdf?version=1670907188","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 911101, Nigeria","School of Mathematical Sciences, Universiti Sains Malaysia (USM), Penang 11800, Malaysia"],"raw_orcid":"https://orcid.org/0000-0001-6164-414X","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Ibrahim Badamasi Babangida University, Lapai 911101, Nigeria","institution_ids":["https://openalex.org/I4210151986"]},{"raw_affiliation_string":"School of Mathematical Sciences, Universiti Sains Malaysia (USM), Penang 11800, 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), Penang 11800, Malaysia"],"raw_orcid":"https://orcid.org/0000-0002-5215-9617","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Universiti Sains Malaysia (USM), Penang 11800, 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":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":3.4512,"has_fulltext":true,"cited_by_count":21,"citation_normalized_percentile":{"value":0.92677852,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"11","issue":"12","first_page":"723","last_page":"723"},"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":0.9994999766349792,"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":0.9994999766349792,"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":0.9764000177383423,"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":0.9524000287055969,"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/sensitivity","display_name":"Sensitivity (control systems)","score":0.6901845932006836},{"id":"https://openalex.org/keywords/tuberculosis","display_name":"Tuberculosis","score":0.6273249387741089},{"id":"https://openalex.org/keywords/basic-reproduction-number","display_name":"Basic reproduction number","score":0.6172154545783997},{"id":"https://openalex.org/keywords/public-health","display_name":"Public health","score":0.6085715293884277},{"id":"https://openalex.org/keywords/matlab","display_name":"MATLAB","score":0.6034204959869385},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.47419577836990356},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.4726385474205017},{"id":"https://openalex.org/keywords/index","display_name":"Index (typography)","score":0.4259818196296692},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.42263704538345337},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4221065640449524},{"id":"https://openalex.org/keywords/public-hospital","display_name":"Public hospital","score":0.42073532938957214},{"id":"https://openalex.org/keywords/mycobacterium-tuberculosis","display_name":"Mycobacterium tuberculosis","score":0.4205933213233948},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3850327432155609},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.33910995721817017},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.331609308719635},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3245111107826233},{"id":"https://openalex.org/keywords/environmental-health","display_name":"Environmental health","score":0.25477975606918335},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.19645214080810547},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15005183219909668}],"concepts":[{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.6901845932006836},{"id":"https://openalex.org/C2781069245","wikidata":"https://www.wikidata.org/wiki/Q12204","display_name":"Tuberculosis","level":2,"score":0.6273249387741089},{"id":"https://openalex.org/C204264503","wikidata":"https://www.wikidata.org/wiki/Q901464","display_name":"Basic reproduction number","level":3,"score":0.6172154545783997},{"id":"https://openalex.org/C138816342","wikidata":"https://www.wikidata.org/wiki/Q189603","display_name":"Public health","level":2,"score":0.6085715293884277},{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.6034204959869385},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.47419577836990356},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.4726385474205017},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.4259818196296692},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.42263704538345337},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4221065640449524},{"id":"https://openalex.org/C2775860198","wikidata":"https://www.wikidata.org/wiki/Q7257872","display_name":"Public hospital","level":2,"score":0.42073532938957214},{"id":"https://openalex.org/C2777975735","wikidata":"https://www.wikidata.org/wiki/Q130971","display_name":"Mycobacterium tuberculosis","level":3,"score":0.4205933213233948},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3850327432155609},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.33910995721817017},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.331609308719635},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3245111107826233},{"id":"https://openalex.org/C99454951","wikidata":"https://www.wikidata.org/wiki/Q932068","display_name":"Environmental health","level":1,"score":0.25477975606918335},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.19645214080810547},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15005183219909668},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"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/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C159110408","wikidata":"https://www.wikidata.org/wiki/Q121176","display_name":"Nursing","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms11120723","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11120723","pdf_url":"https://www.mdpi.com/2075-1680/11/12/723/pdf?version=1670907188","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:2391d6ef1db14173b88196fbdb12f67e","is_oa":true,"landing_page_url":"https://doaj.org/article/2391d6ef1db14173b88196fbdb12f67e","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":"Axioms, Vol 11, Iss 12, p 723 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/11/12/723/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms11120723","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms; Volume 11; Issue 12; Pages: 723","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms11120723","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11120723","pdf_url":"https://www.mdpi.com/2075-1680/11/12/723/pdf?version=1670907188","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being","score":0.5099999904632568}],"awards":[],"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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4311373026.pdf","grobid_xml":"https://content.openalex.org/works/W4311373026.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W1979967420","https://openalex.org/W1997498552","https://openalex.org/W2006215236","https://openalex.org/W2008523413","https://openalex.org/W2035689667","https://openalex.org/W2037455271","https://openalex.org/W2038209263","https://openalex.org/W2061321395","https://openalex.org/W2085451305","https://openalex.org/W2089451597","https://openalex.org/W2102798763","https://openalex.org/W2112680994","https://openalex.org/W2118787988","https://openalex.org/W2155317298","https://openalex.org/W2161728228","https://openalex.org/W2166022262","https://openalex.org/W2166635511","https://openalex.org/W2167256706","https://openalex.org/W2276792426","https://openalex.org/W2338394142","https://openalex.org/W2475038746","https://openalex.org/W2783191534","https://openalex.org/W2790268520","https://openalex.org/W2898939485","https://openalex.org/W2920813520","https://openalex.org/W2926672019","https://openalex.org/W2972705303","https://openalex.org/W3024466582","https://openalex.org/W3049175751","https://openalex.org/W3103404004","https://openalex.org/W3108955555","https://openalex.org/W3119123197","https://openalex.org/W4221124037","https://openalex.org/W4224214794","https://openalex.org/W4294000628","https://openalex.org/W4295047768","https://openalex.org/W4296876999","https://openalex.org/W6651860186","https://openalex.org/W6652711682","https://openalex.org/W6653779579","https://openalex.org/W7073548793"],"related_works":["https://openalex.org/W3095275161","https://openalex.org/W2022884847","https://openalex.org/W2323174669","https://openalex.org/W4200106217","https://openalex.org/W2986252193","https://openalex.org/W4292492052","https://openalex.org/W4312683925","https://openalex.org/W3037435691","https://openalex.org/W4321062059","https://openalex.org/W2902390370"],"abstract_inverted_index":{"Tuberculosis":[0],"(TB),":[1],"caused":[2],"by":[3,50,130,184],"Mycobacterium":[4],"tuberculosis":[5],"is":[6,48,96],"one":[7],"of":[8,13,24,46,63,76,87,116,119,127,139,181],"the":[9,28,43,52,64,77,82,85,91,105,114,117,123,128,140,155,179],"treacherous":[10],"infectious":[11],"diseases":[12],"global":[14,61],"concern.":[15],"In":[16],"this":[17],"paper,":[18],"we":[19,112],"consider":[20],"a":[21,132],"deterministic":[22],"model":[23,79,83,129,142],"TB":[25,47,182],"infection":[26,183],"with":[27,154],"public":[29,174,185],"health":[30,175,186],"education":[31,187],"and":[32,60,71,107,148,152,173,188],"hospital":[33,189],"treatment":[34],"impact.":[35],"The":[36,74,161],"effective":[37,92,124],"reproductive":[38,125],"number,":[39],"Rph,":[40],"that":[41,81],"measures":[42],"potential":[44],"spread":[45,180],"presented":[49],"employing":[51,131],"next":[53],"generation":[54],"matrix":[55],"approach.":[56],"We":[57],"investigate":[58],"local":[59],"stability":[62],"TB-free":[65],"equilibrium":[66,69],"point,":[67,70],"endemic":[68],"sensitivity":[72,115,134],"analysis.":[73],"analyses":[75],"proposed":[78,141],"show":[80],"undergoes":[84],"phenomenon":[86],"backward":[88],"bifurcation":[89],"when":[90],"reproduction":[93],"number":[94,126],"(Rph)":[95],"less":[97],"than":[98],"one,":[99],"where":[100],"two":[101],"stable":[102],"equilibria,":[103],"namely,":[104],"DFE":[106],"an":[108],"EEP":[109],"coexist.":[110],"Further,":[111],"compute":[113],"impact":[118],"each":[120],"parameter":[121],"on":[122],"normalized":[133],"index":[135],"formula.":[136],"Numerical":[137],"simulation":[138],"was":[143],"conducted":[144],"using":[145],"Maple":[146],"2016":[147],"MatLab":[149],"R2020b":[150],"software":[151],"compared":[153],"theoretical":[156],"results":[157,163],"for":[158],"illustration":[159],"purposes.":[160],"investigation":[162],"can":[164],"be":[165],"useful":[166],"in":[167,177],"providing":[168],"information":[169],"to":[170],"policy":[171],"makers":[172],"authorities":[176],"mitigating":[178],"treatment.":[190]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
