{"id":"https://openalex.org/W2490816482","doi":null,"title":"Mathematical Modelling of Pulmonary and Extra-pulmonary Tuberculosis","display_name":"Mathematical Modelling of Pulmonary and Extra-pulmonary Tuberculosis","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2490816482","mag":"2490816482"},"language":"en","primary_location":{"id":"mag:2490816482","doi":null,"is_oa":false,"landing_page_url":"https://www.ijmttjournal.org/Volume-4/issue-9/IJMTT-V4I9P2.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011612811","display_name":"Nita H. Shah","orcid":"https://orcid.org/0000-0003-1605-4778","observed_orcids":["https://orcid.org/0000-0003-1605-4778"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nita H. Shah","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-1605-4778","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5078384666","display_name":"Jyoti Gupta","orcid":"https://orcid.org/0000-0002-5133-1294","observed_orcids":["https://orcid.org/0000-0002-5133-1294"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jyoti Gupta","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-5133-1294","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.349,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.5032691,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":96},"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":0.9976000189781189,"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":0.001500000013038516,"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":0.9810000061988831},{"id":"https://openalex.org/keywords/pulmonary-tuberculosis","display_name":"pulmonary tuberculosis","score":0.9409999847412109},{"id":"https://openalex.org/keywords/extrapulmonary-tuberculosis","display_name":"extrapulmonary tuberculosis","score":0.9539999961853027},{"id":"https://openalex.org/keywords/seir-model","display_name":"SEIR model","score":0.8600000143051147},{"id":"https://openalex.org/keywords/compartmental-model","display_name":"compartmental model","score":0.7950000166893005},{"id":"https://openalex.org/keywords/basic-reproduction-number","display_name":"basic reproduction number","score":0.9710000157356262},{"id":"https://openalex.org/keywords/disease-free-equilibrium","display_name":"disease-free equilibrium","score":0.7559999823570251},{"id":"https://openalex.org/keywords/steady-state-analysis","display_name":"steady-state analysis","score":0.7089999914169312},{"id":"https://openalex.org/keywords/ordinary-differential-equations","display_name":"ordinary differential equations","score":0.6439999938011169},{"id":"https://openalex.org/keywords/india","display_name":"India","score":0.46000000834465027}],"concepts":[{"id":"https://openalex.org/C2781069245","wikidata":"https://www.wikidata.org/wiki/Q12204","display_name":"Tuberculosis","level":2,"score":0.8252190351486206},{"id":"https://openalex.org/C2908628106","wikidata":"https://www.wikidata.org/wiki/Q12204","display_name":"Pulmonary tuberculosis","level":3,"score":0.7994149327278137},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.5389467477798462},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5099831819534302},{"id":"https://openalex.org/C524204448","wikidata":"https://www.wikidata.org/wiki/Q788926","display_name":"Infectious disease (medical specialty)","level":3,"score":0.5020027160644531},{"id":"https://openalex.org/C204264503","wikidata":"https://www.wikidata.org/wiki/Q901464","display_name":"Basic reproduction number","level":3,"score":0.45040589570999146},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37710487842559814},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.3523105978965759},{"id":"https://openalex.org/C2779134260","wikidata":"https://www.wikidata.org/wiki/Q12136","display_name":"Disease","level":2,"score":0.3232678771018982},{"id":"https://openalex.org/C99454951","wikidata":"https://www.wikidata.org/wiki/Q932068","display_name":"Environmental health","level":1,"score":0.2438516616821289},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.15413129329681396},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.13281551003456116},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.06667226552963257}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2490816482","doi":null,"is_oa":false,"landing_page_url":"https://www.ijmttjournal.org/Volume-4/issue-9/IJMTT-V4I9P2.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Good health and well-being","score":0.9763000011444092,"id":"https://metadata.un.org/sdg/3"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1595069408","https://openalex.org/W1633048138","https://openalex.org/W1989398886","https://openalex.org/W1991990947","https://openalex.org/W1993826279","https://openalex.org/W2058161209","https://openalex.org/W2104595316","https://openalex.org/W2112680994","https://openalex.org/W2112900204","https://openalex.org/W2126776457"],"related_works":["https://openalex.org/W4394816475","https://openalex.org/W4399753434","https://openalex.org/W2609461777","https://openalex.org/W4396624751","https://openalex.org/W4382992351","https://openalex.org/W2773694203","https://openalex.org/W2962955649","https://openalex.org/W4362677036","https://openalex.org/W4416543450","https://openalex.org/W2995168318"],"abstract_inverted_index":{"Tuberculosis":[0],"(TB)":[1],"is":[2,45,63,72,81,108,113,130],"a":[3,60,111,131],"big":[4],"public":[5],"health":[6],"problem":[7],"in":[8,33],"India.":[9],"As":[10],"per":[11],"WHO":[12],"TB-report":[13],"2011,":[14],"India":[15,34],"accounts":[16],"for":[17,65,115],"one-":[18],"fourth":[19],"(approximately":[20],"26%)":[21],"of":[22,37],"the":[23],"global":[24],"TB":[25],"incident":[26],"cases.":[27,43],"Each":[28],"year":[29],"nearly":[30],"20,00000":[31],"people":[32],"develop":[35],"TB,":[36],"which":[38,71],"around":[39],"870000":[40],"are":[41,120],"infectious":[42,91],"It":[44],"estimated":[46],"that":[47,123],"every":[48],"day":[49],"approximately":[50],"1000":[51],"Indians":[52],"die":[53],"due":[54],"to":[55,74],"TB.":[56],"In":[57],"this":[58],"paper,":[59],"mathematical":[61],"model":[62],"formulated":[64],"tuberculosis":[66,94,98],"using":[67],"ordinary":[68],"differential":[69],"equations":[70],"similar":[73],"SEIR":[75],"epidemic":[76],"model.":[77],"The":[78],"entire":[79],"population":[80],"divided":[82],"into":[83],"five":[84],"compartments":[85],"viz.":[86],"susceptible":[87],"(S),":[88],"exposed":[89],"(E),":[90],"with":[92],"pulmonary":[93],"(I)":[95],"and":[96,100,110],"extra-pulmonary":[97],"(X)":[99],"treated":[101],"(T).":[102],"Basic":[103],"reproduction":[104],"number":[105],"0":[106,125],"R":[107,127],"defined":[109],"relation":[112],"established":[114],"it.":[116],"Steady":[117],"state":[118],"conditions":[119],"derived":[121],"showing":[122],"when":[124],"1":[126],"\uf03e":[128],"there":[129],"disease":[132],"free":[133]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T04:12:42.849631","created_date":"2016-08-23T00:00:00"}