{"id":"https://openalex.org/W7215369331","doi":null,"title":"A Tuberculosis Mathematical Model with Infected Population and Vaccination","display_name":"A Tuberculosis Mathematical Model with Infected Population and Vaccination","publication_year":2017,"publication_date":"2017-12-30","ids":{"openalex":"https://openalex.org/W7215369331"},"language":"en","primary_location":{"id":"pmh:oai:ojs2.ijmaa.in:article/1356","doi":null,"is_oa":true,"landing_page_url":"https://ijmaa.in/index.php/ijmaa/article/view/1356","pdf_url":"https://ijmaa.in/index.php/ijmaa/article/download/1356/1320","source":{"id":"https://openalex.org/S7407065868","display_name":"International Journal of Mathematics And its Applications","issn_l":"2347-1557","issn":["2347-1557"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2347-1557","raw_type":"info:eu-repo/semantics/article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://ijmaa.in/index.php/ijmaa/article/download/1356/1320","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049667520","display_name":"Lakhan Nagar","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I86381314","display_name":"Vikram University","ror":"https://ror.org/002k8gm39","country_code":"IN","type":"education","lineage":["https://openalex.org/I86381314"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Lakhan Nagar","raw_affiliation_strings":["School of Studies in Mathematics, Vikram University, Ujjain, Madhya Pradesh, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Studies in Mathematics, Vikram University, Ujjain, Madhya Pradesh, India","institution_ids":["https://openalex.org/I86381314"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035699640","display_name":"Pradeep Porwal","orcid":"https://orcid.org/0000-0002-0241-056X","observed_orcids":["https://orcid.org/0000-0002-0241-056X"]},"institutions":[{"id":"https://openalex.org/I86381314","display_name":"Vikram University","ror":"https://ror.org/002k8gm39","country_code":"IN","type":"education","lineage":["https://openalex.org/I86381314"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Pradeep Porwal","raw_affiliation_strings":["School of Studies in Mathematics, Vikram University, Ujjain, Madhya Pradesh, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Studies in Mathematics, Vikram University, Ujjain, Madhya Pradesh, India","institution_ids":["https://openalex.org/I86381314"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113910635","display_name":"V. K. Gupta","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"V. K. Gupta","raw_affiliation_strings":["Department of Mathematics, Government Madhav Science P.G. College, Ujjain, Madhya Pradesh, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Government Madhav Science P.G. College, Ujjain, Madhya Pradesh, India","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081296258","display_name":"S. K. Tiwari","orcid":"https://orcid.org/0000-0003-0942-3467","observed_orcids":["https://orcid.org/0000-0003-0942-3467"]},"institutions":[{"id":"https://openalex.org/I86381314","display_name":"Vikram University","ror":"https://ror.org/002k8gm39","country_code":"IN","type":"education","lineage":["https://openalex.org/I86381314"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"S. K. Tiwari","raw_affiliation_strings":["School of Studies in Mathematics, Vikram University, Ujjain, Madhya Pradesh, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Studies in Mathematics, Vikram University, Ujjain, Madhya Pradesh, India","institution_ids":["https://openalex.org/I86381314"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.39652023,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"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":0.9994999766349792,"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/T10038","display_name":"Tuberculosis Research and Epidemiology","score":0.0003000000142492354,"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":9.999999747378752e-05,"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":0.9959999918937683},{"id":"https://openalex.org/keywords/mathematical-model","display_name":"mathematical model","score":0.5960000157356262},{"id":"https://openalex.org/keywords/vaccination","display_name":"vaccination","score":0.8519999980926514},{"id":"https://openalex.org/keywords/equilibrium-points","display_name":"equilibrium points","score":0.8169999718666077},{"id":"https://openalex.org/keywords/stability-analysis","display_name":"stability analysis","score":0.9649999737739563},{"id":"https://openalex.org/keywords/compartmental-model","display_name":"compartmental model","score":0.6610000133514404},{"id":"https://openalex.org/keywords/disease-transmission","display_name":"disease transmission","score":0.4620000123977661}],"concepts":[{"id":"https://openalex.org/C2781069245","wikidata":"https://www.wikidata.org/wiki/Q12204","display_name":"Tuberculosis","level":2,"score":0.8434000015258789},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.6534000039100647},{"id":"https://openalex.org/C22070199","wikidata":"https://www.wikidata.org/wiki/Q192995","display_name":"Vaccination","level":2,"score":0.6439999938011169},{"id":"https://openalex.org/C524204448","wikidata":"https://www.wikidata.org/wiki/Q788926","display_name":"Infectious disease (medical specialty)","level":3,"score":0.6205000281333923},{"id":"https://openalex.org/C2779134260","wikidata":"https://www.wikidata.org/wiki/Q12136","display_name":"Disease","level":2,"score":0.5961999893188477},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5788999795913696},{"id":"https://openalex.org/C159047783","wikidata":"https://www.wikidata.org/wiki/Q7215","display_name":"Virology","level":1,"score":0.43720000982284546},{"id":"https://openalex.org/C203014093","wikidata":"https://www.wikidata.org/wiki/Q101929","display_name":"Immunology","level":1,"score":0.4293999969959259},{"id":"https://openalex.org/C2909656726","wikidata":"https://www.wikidata.org/wiki/Q1347969","display_name":"Disease Eradication","level":3,"score":0.3756999969482422},{"id":"https://openalex.org/C46578552","wikidata":"https://www.wikidata.org/wiki/Q2725393","display_name":"Global health","level":3,"score":0.3549000024795532},{"id":"https://openalex.org/C99454951","wikidata":"https://www.wikidata.org/wiki/Q932068","display_name":"Environmental health","level":1,"score":0.3343999981880188},{"id":"https://openalex.org/C2992046845","wikidata":"https://www.wikidata.org/wiki/Q170065","display_name":"Infectious agent","level":3,"score":0.32499998807907104},{"id":"https://openalex.org/C138816342","wikidata":"https://www.wikidata.org/wiki/Q189603","display_name":"Public health","level":2,"score":0.3172000050544739},{"id":"https://openalex.org/C107130276","wikidata":"https://www.wikidata.org/wiki/Q133805","display_name":"Epidemiology","level":2,"score":0.2953000068664551},{"id":"https://openalex.org/C101531171","wikidata":"https://www.wikidata.org/wiki/Q990044","display_name":"Mathematical modelling of infectious disease","level":4,"score":0.28619998693466187},{"id":"https://openalex.org/C2992264114","wikidata":"https://www.wikidata.org/wiki/Q1394551","display_name":"Clinical disease","level":3,"score":0.2590000033378601},{"id":"https://openalex.org/C2779078216","wikidata":"https://www.wikidata.org/wiki/Q7850848","display_name":"Tuberculosis vaccines","level":4,"score":0.25839999318122864},{"id":"https://openalex.org/C2986740045","wikidata":"https://www.wikidata.org/wiki/Q31207","display_name":"Health services","level":3,"score":0.25769999623298645},{"id":"https://openalex.org/C2777975735","wikidata":"https://www.wikidata.org/wiki/Q130971","display_name":"Mycobacterium tuberculosis","level":3,"score":0.2542000114917755}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:ojs2.ijmaa.in:article/1356","doi":null,"is_oa":true,"landing_page_url":"https://ijmaa.in/index.php/ijmaa/article/view/1356","pdf_url":"https://ijmaa.in/index.php/ijmaa/article/download/1356/1320","source":{"id":"https://openalex.org/S7407065868","display_name":"International Journal of Mathematics And its Applications","issn_l":"2347-1557","issn":["2347-1557"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2347-1557","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:ojs2.ijmaa.in:article/1356","doi":null,"is_oa":true,"landing_page_url":"https://ijmaa.in/index.php/ijmaa/article/view/1356","pdf_url":"https://ijmaa.in/index.php/ijmaa/article/download/1356/1320","source":{"id":"https://openalex.org/S7407065868","display_name":"International Journal of Mathematics And its Applications","issn_l":"2347-1557","issn":["2347-1557"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2347-1557","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3","score":0.9391000270843506}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7215369331.pdf","grobid_xml":"https://content.openalex.org/works/W7215369331.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4231642169","https://openalex.org/W3123175080","https://openalex.org/W4389889327","https://openalex.org/W6945681203","https://openalex.org/W3200067365","https://openalex.org/W4312686374","https://openalex.org/W4394816475","https://openalex.org/W3181922072","https://openalex.org/W2613678908","https://openalex.org/W2314365298"],"abstract_inverted_index":{"Tuberculosis":[0],"is":[1,38],"an":[2],"infectious":[3,44],"disease":[4],"that":[5,15],"usually":[6],"affects":[7],"the":[8,35,54,59],"lungs.":[9],"World":[10],"Health":[11],"Organization":[12],"has":[13],"declared":[14],"tuberculosis":[16],"Disease":[17],"can":[18],"cause":[19],"global":[20],"warming.":[21],"So,":[22],"TB":[23],"must":[24],"be":[25],"solved":[26],"especially":[27],"in":[28],"prediction":[29],"and":[30,46,57],"vaccination.":[31],"In":[32],"this":[33],"model":[34],"infected":[36,45,48],"population":[37],"divided":[39],"into":[40],"two":[41],"groups,":[42],"namely":[43],"noninfectious":[47],"population.":[49],"This":[50],"paper":[51],"explains":[52],"about":[53],"equilibrium":[55],"point,":[56],"analyzing":[58],"stability":[60],"model.":[61]},"counts_by_year":[],"updated_date":"2026-10-05T09:50:58.205359","created_date":"2026-10-02T00:00:00"}
