{"id":"https://openalex.org/W2042478635","doi":"https://doi.org/10.1142/s0218127411029598","title":"MODELING AND PARAMETER ESTIMATION OF TUBERCULOSIS WITH APPLICATION TO CAMEROON","display_name":"MODELING AND PARAMETER ESTIMATION OF TUBERCULOSIS WITH APPLICATION TO CAMEROON","publication_year":2011,"publication_date":"2011-04-05","ids":{"openalex":"https://openalex.org/W2042478635","doi":"https://doi.org/10.1142/s0218127411029598","mag":"2042478635"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127411029598","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"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/A5109995776","display_name":"Samuel Bowong","orcid":null},"institutions":[{"id":"https://openalex.org/I163423212","display_name":"University of Douala","ror":"https://ror.org/02zr5jr81","country_code":"CM","type":"education","lineage":["https://openalex.org/I163423212"]},{"id":"https://openalex.org/I60200437","display_name":"Potsdam Institute for Climate Impact Research","ror":"https://ror.org/03e8s1d88","country_code":"DE","type":"facility","lineage":["https://openalex.org/I315704651","https://openalex.org/I60200437"]}],"countries":["CM","DE"],"is_corresponding":false,"raw_author_name":"SAMUEL BOWONG","raw_affiliation_strings":["Laboratory of Applied Mathematics, Department of Mathematics and Computer Science, Faculty of Science, University of Douala, P. O. Box 24157 Douala, Cameroon","Postdam Institute for Climate Impact Research (PIK), Telegraphenberg A 31, 14412 Potsdam, Germany"],"affiliations":[{"raw_affiliation_string":"Laboratory of Applied Mathematics, Department of Mathematics and Computer Science, Faculty of Science, University of Douala, P. O. Box 24157 Douala, Cameroon","institution_ids":["https://openalex.org/I163423212"]},{"raw_affiliation_string":"Postdam Institute for Climate Impact Research (PIK), Telegraphenberg A 31, 14412 Potsdam, Germany","institution_ids":["https://openalex.org/I60200437"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085207296","display_name":"J\u00fcrgen Kurths","orcid":"https://orcid.org/0000-0002-5926-4276"},"institutions":[{"id":"https://openalex.org/I60200437","display_name":"Potsdam Institute for Climate Impact Research","ror":"https://ror.org/03e8s1d88","country_code":"DE","type":"facility","lineage":["https://openalex.org/I315704651","https://openalex.org/I60200437"]},{"id":"https://openalex.org/I39343248","display_name":"Humboldt-Universit\u00e4t zu Berlin","ror":"https://ror.org/01hcx6992","country_code":"DE","type":"funder","lineage":["https://openalex.org/I39343248"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"JURGEN KURTHS","raw_affiliation_strings":["Department of Physics, Humboldt Universitat zu Berlin, 12489 Berlin, Germany.","Postdam Institute for Climate Impact Research (PIK), Telegraphenberg A 31, 14412 Potsdam, Germany."],"affiliations":[{"raw_affiliation_string":"Postdam Institute for Climate Impact Research (PIK), Telegraphenberg A 31, 14412 Potsdam, Germany.","institution_ids":["https://openalex.org/I60200437"]},{"raw_affiliation_string":"Department of Physics, Humboldt Universitat zu Berlin, 12489 Berlin, Germany.","institution_ids":["https://openalex.org/I39343248"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.322,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":6,"citation_normalized_percentile":{"value":0.690753,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":81,"max":82},"biblio":{"volume":"21","issue":"07","first_page":"1999","last_page":"2015"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9996,"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":0.9996,"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":0.9938,"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":0.982,"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/basic-reproduction-number","display_name":"Basic reproduction number","score":0.73875654},{"id":"https://openalex.org/keywords/seasonality","display_name":"Seasonality","score":0.5706781},{"id":"https://openalex.org/keywords/epidemic-model","display_name":"Epidemic model","score":0.43188226}],"concepts":[{"id":"https://openalex.org/C204264503","wikidata":"https://www.wikidata.org/wiki/Q901464","display_name":"Basic reproduction number","level":3,"score":0.73875654},{"id":"https://openalex.org/C2781069245","wikidata":"https://www.wikidata.org/wiki/Q12204","display_name":"Tuberculosis","level":2,"score":0.65947473},{"id":"https://openalex.org/C125403950","wikidata":"https://www.wikidata.org/wiki/Q2111082","display_name":"Seasonality","level":2,"score":0.5706781},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.54011476},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.5127121},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.476681},{"id":"https://openalex.org/C107130276","wikidata":"https://www.wikidata.org/wiki/Q133805","display_name":"Epidemiology","level":2,"score":0.4556849},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4513728},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4335732},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.43188226},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36360013},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.16281012},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.1524516},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.14549235},{"id":"https://openalex.org/C99454951","wikidata":"https://www.wikidata.org/wiki/Q932068","display_name":"Environmental health","level":1,"score":0.106491685},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09348717},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.07523689},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","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/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127411029598","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Good health and well-being","score":0.81,"id":"https://metadata.un.org/sdg/3"}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":33,"referenced_works":["https://openalex.org/W134117451","https://openalex.org/W1511286968","https://openalex.org/W1537506907","https://openalex.org/W1575154287","https://openalex.org/W1597912403","https://openalex.org/W1964345110","https://openalex.org/W2000206958","https://openalex.org/W2001661083","https://openalex.org/W2010825494","https://openalex.org/W2013322007","https://openalex.org/W2015179481","https://openalex.org/W2016662457","https://openalex.org/W2030031616","https://openalex.org/W2040280016","https://openalex.org/W2043093601","https://openalex.org/W2044063867","https://openalex.org/W2049489637","https://openalex.org/W2081267180","https://openalex.org/W2084640233","https://openalex.org/W2085451305","https://openalex.org/W2085788930","https://openalex.org/W2113369761","https://openalex.org/W2129834056","https://openalex.org/W2152450008","https://openalex.org/W2159120767","https://openalex.org/W2269873948","https://openalex.org/W2411376140","https://openalex.org/W2416600275","https://openalex.org/W3091557996","https://openalex.org/W4236058811","https://openalex.org/W432955989","https://openalex.org/W602496495","https://openalex.org/W640023950"],"related_works":["https://openalex.org/W4320351350","https://openalex.org/W3138234900","https://openalex.org/W3113377908","https://openalex.org/W2397456551","https://openalex.org/W2376250553","https://openalex.org/W2356839139","https://openalex.org/W2291447000","https://openalex.org/W2230721379","https://openalex.org/W2032448025","https://openalex.org/W2000886769"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3,61,124],"the":[4,35,42,50,69,94,125,129],"problem":[5],"of":[6,11,15,41,52,81,128,133],"modeling":[7],"and":[8,26,38,113],"parameter":[9],"estimation":[10],"a":[12,28,56,103],"deterministic":[13],"model":[14,30,45,97],"tuberculosis":[16,29],"(abbreviated":[17],"as":[18],"TB":[19,83,96,135],"for":[20],"tubercle":[21],"bacillus).":[22],"We":[23,101],"first":[24],"propose":[25,102],"analyze":[27],"without":[31],"seasonality":[32],"that":[33],"incorporates":[34],"essential":[36],"biological":[37],"epidemiological":[39,114],"features":[40],"disease.":[43],"The":[44,78],"is":[46,74],"shown":[47],"to":[48,106,111],"exhibit":[49],"phenomenon":[51],"backward":[53],"bifurcation,":[54],"where":[55],"stable":[57,65],"disease-free":[58],"equilibrium":[59],"coexists":[60],"one":[62],"or":[63],"more":[64],"endemic":[66],"equilibria":[67],"when":[68],"associated":[70],"basic":[71],"reproduction":[72],"number":[73],"less":[75],"than":[76],"unity.":[77],"statistical":[79],"data":[80,115],"new":[82,131],"cases":[84,132],"show":[85],"seasonal":[86,126],"fluctuations":[87],"in":[88,116,121,136],"many":[89],"countries.":[90],"Then,":[91],"we":[92],"extend":[93],"proposed":[95],"by":[98],"incorporating":[99],"seasonality.":[100],"numerical":[104],"study":[105],"estimate":[107],"unknown":[108],"parameters":[109],"according":[110],"demographic":[112],"Cameroon.":[117,137],"Simulation":[118],"results":[119],"are":[120],"good":[122],"accordance":[123],"variation":[127],"reported":[130],"active":[134]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2042478635","counts_by_year":[{"year":2021,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-04-20T16:54:07.387963","created_date":"2016-06-24"}