{"id":"https://openalex.org/W4404297935","doi":"https://doi.org/10.1080/27684830.2024.2419462","title":"Mathematical model and backward bifurcation analysis of pneumonia infection with intervention measures","display_name":"Mathematical model and backward bifurcation analysis of pneumonia infection with intervention measures","publication_year":2024,"publication_date":"2024-11-12","ids":{"openalex":"https://openalex.org/W4404297935","doi":"https://doi.org/10.1080/27684830.2024.2419462"},"language":"en","primary_location":{"id":"doi:10.1080/27684830.2024.2419462","doi":"https://doi.org/10.1080/27684830.2024.2419462","is_oa":true,"landing_page_url":"https://doi.org/10.1080/27684830.2024.2419462","pdf_url":null,"source":{"id":"https://openalex.org/S4210213664","display_name":"Research in Mathematics","issn_l":"2768-4830","issn":["2768-4830"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","jufo-1","norway-1","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Research in Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1080/27684830.2024.2419462","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022789949","display_name":"Shewafera Wondimagegnhu Teklu","orcid":"https://orcid.org/0000-0002-9073-6075","observed_orcids":["https://orcid.org/0000-0002-9073-6075"]},"institutions":[{"id":"https://openalex.org/I1282700336","display_name":"Debre Berhan University","ror":"https://ror.org/04e72vw61","country_code":"ET","type":"education","lineage":["https://openalex.org/I1282700336"]}],"countries":["ET"],"is_corresponding":true,"raw_author_name":"Shewafera Wondimagegnhu Teklu","raw_affiliation_strings":["Department of Mathematics, Natural and Computational Sciences, Debre Berhan University, Debre Berhan, Ethiopia"],"raw_orcid":"https://orcid.org/0000-0002-9073-6075","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Natural and Computational Sciences, Debre Berhan University, Debre Berhan, Ethiopia","institution_ids":["https://openalex.org/I1282700336"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015143691","display_name":"Belela Samuel Kotola","orcid":"https://orcid.org/0000-0003-4879-0921","observed_orcids":["https://orcid.org/0000-0003-4879-0921"]},"institutions":[{"id":"https://openalex.org/I4405257672","display_name":"Oda Bultum University","ror":"https://ror.org/05j2hty04","country_code":"ET","type":"education","lineage":["https://openalex.org/I4405257672"]}],"countries":["ET"],"is_corresponding":false,"raw_author_name":"Belela Samuel Kotola","raw_affiliation_strings":["Department of Mathematics, Natural Science, Oda Bultum University, Chiro, Ethiopia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Natural Science, Oda Bultum University, Chiro, Ethiopia","institution_ids":["https://openalex.org/I4405257672"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5022789949"],"corresponding_institution_ids":["https://openalex.org/I1282700336"],"apc_list":null,"apc_paid":null,"fwci":3.424,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.92674894,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"11","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":0.9994999766349792,"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":0.9994999766349792,"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/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"}},{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/pneumonia","display_name":"pneumonia","score":0.9169999957084656},{"id":"https://openalex.org/keywords/backward-bifurcation","display_name":"backward bifurcation","score":0.9760000109672546},{"id":"https://openalex.org/keywords/compartmental-epidemic-model","display_name":"compartmental epidemic model","score":0.8220000267028809},{"id":"https://openalex.org/keywords/basic-reproduction-number","display_name":"basic reproduction number","score":0.9139999747276306},{"id":"https://openalex.org/keywords/disease-free-equilibrium","display_name":"disease-free equilibrium","score":0.8870000243186951},{"id":"https://openalex.org/keywords/endemic-equilibrium","display_name":"endemic equilibrium","score":0.9909999966621399},{"id":"https://openalex.org/keywords/immunization","display_name":"immunization","score":0.7979999780654907},{"id":"https://openalex.org/keywords/treatment","display_name":"treatment","score":0.7900000214576721},{"id":"https://openalex.org/keywords/infection-control","display_name":"infection control","score":0.609000027179718},{"id":"https://openalex.org/keywords/transmission-rate","display_name":"transmission rate","score":0.6460000276565552},{"id":"https://openalex.org/keywords/center-manifold-theorem","display_name":"center manifold theorem","score":0.5350000262260437},{"id":"https://openalex.org/keywords/sensitivity-analysis","display_name":"sensitivity analysis","score":0.6899999976158142}],"concepts":[{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6198214292526245},{"id":"https://openalex.org/C2777914695","wikidata":"https://www.wikidata.org/wiki/Q12192","display_name":"Pneumonia","level":2,"score":0.617495059967041},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5131328701972961},{"id":"https://openalex.org/C2780665704","wikidata":"https://www.wikidata.org/wiki/Q959298","display_name":"Intervention (counseling)","level":2,"score":0.4809526801109314},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4049913287162781},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3883013129234314},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.380346417427063},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19475069642066956},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.15896031260490417},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08143371343612671},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.059848636388778687},{"id":"https://openalex.org/C118552586","wikidata":"https://www.wikidata.org/wiki/Q7867","display_name":"Psychiatry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/27684830.2024.2419462","doi":"https://doi.org/10.1080/27684830.2024.2419462","is_oa":true,"landing_page_url":"https://doi.org/10.1080/27684830.2024.2419462","pdf_url":null,"source":{"id":"https://openalex.org/S4210213664","display_name":"Research in Mathematics","issn_l":"2768-4830","issn":["2768-4830"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","jufo-1","norway-1","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Research in Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1080/27684830.2024.2419462","doi":"https://doi.org/10.1080/27684830.2024.2419462","is_oa":true,"landing_page_url":"https://doi.org/10.1080/27684830.2024.2419462","pdf_url":null,"source":{"id":"https://openalex.org/S4210213664","display_name":"Research in Mathematics","issn_l":"2768-4830","issn":["2768-4830"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","jufo-1","norway-1","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Research in Mathematics","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":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1997799089","https://openalex.org/W2085451305","https://openalex.org/W2112680994","https://openalex.org/W2335001735","https://openalex.org/W2521343933","https://openalex.org/W2686788534","https://openalex.org/W2727378195","https://openalex.org/W2743304968","https://openalex.org/W2777837339","https://openalex.org/W2790398543","https://openalex.org/W2794675720","https://openalex.org/W2794679918","https://openalex.org/W2904139934","https://openalex.org/W2947710143","https://openalex.org/W2999677652","https://openalex.org/W3005537471","https://openalex.org/W3012483592","https://openalex.org/W3177061522","https://openalex.org/W3200327520","https://openalex.org/W3204856185","https://openalex.org/W3206175901","https://openalex.org/W4205480269","https://openalex.org/W4205551513","https://openalex.org/W4213049209","https://openalex.org/W4213309780","https://openalex.org/W4284891267","https://openalex.org/W4292182778","https://openalex.org/W4312777353","https://openalex.org/W4320709678","https://openalex.org/W4361306868","https://openalex.org/W4362474407","https://openalex.org/W4367320626","https://openalex.org/W4377013018","https://openalex.org/W4380990186","https://openalex.org/W4381617445","https://openalex.org/W4386647898","https://openalex.org/W4387162758","https://openalex.org/W4387745998","https://openalex.org/W4390640449"],"related_works":["https://openalex.org/W4213049209","https://openalex.org/W4289537998","https://openalex.org/W4384068614","https://openalex.org/W4406778687","https://openalex.org/W4415691566","https://openalex.org/W2686788534","https://openalex.org/W4205551513","https://openalex.org/W1727894442","https://openalex.org/W2790398543","https://openalex.org/W4388011175"],"abstract_inverted_index":{"The":[0,38],"main":[1],"goal":[2],"of":[3,19,45,65,97,144,154,162,176],"this":[4,115],"paper":[5],"is":[6,73,147],"to":[7,56,88,172],"build":[8],"a":[9,127],"nonlinear":[10],"compartmental":[11],"pneumonia":[12,51,60,98,124,132,145,177],"infection":[13,105,133,146],"model":[14,40,61],"and":[15,22,35,49,185],"examine":[16],"the":[17,59,63,80,89,93,104,111,120,141,151,155,160,168,174,179],"impact":[18,129],"treatment,":[20,184],"immunization,":[21,183],"preventative":[23],"measures":[24],"(such":[25],"as":[26,114],"maintaining":[27],"excellent":[28],"cleanliness,":[29],"avoiding":[30],"close":[31],"contact":[32],"with":[33],"patients,":[34],"restricting":[36],"smoking).":[37],"developed":[39],"exhibits":[41],"two":[42],"different":[43],"types":[44],"equilibrium":[46,52],"points:":[47],"endemic":[48],"disease-free":[50],"points.":[53],"In":[54],"order":[55],"confirm":[57],"that":[58,91,103,139,167],"displays":[62],"phenomena":[64],"backward":[66],"bifurcations":[67],"whenever":[68],"its":[69],"effective":[70,170],"reproduction":[71,95],"number":[72,96],"less":[74],"than":[75],"unity,":[76],"we":[77,165],"have":[78],"employed":[79],"center":[81],"manifold":[82],"criteria.":[83],"This":[84],"finding":[85],"leads":[86],"us":[87],"conclusion":[90,117],"lowering":[92],"basic":[94],"infections":[99],"does":[100],"not":[101],"ensure":[102],"will":[106],"be":[107],"completely":[108],"eradicated":[109],"in":[110,178],"community.":[112],"But":[113],"paper\u2019s":[116],"shows,":[118],"reducing":[119],"rate":[121,153],"at":[122],"which":[123],"spreads":[125],"has":[126],"significant":[128],"on":[130,150,159],"community-wide":[131],"control.":[134],"Sensitivity":[135],"analysis":[136],"research":[137],"reveals":[138],"altering":[140],"qualitative":[142],"dynamics":[143],"mostly":[148],"dependent":[149],"transmission":[152],"illness.":[156],"Ultimately,":[157],"based":[158],"outcomes":[161],"numerical":[163],"simulations,":[164],"deduce":[166],"most":[169],"ways":[171],"reduce":[173],"spread":[175],"community":[180],"are":[181],"through":[182],"prevention.":[186]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":7}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2024-11-13T00:00:00"}