{"id":"https://openalex.org/W2963155493","doi":"https://doi.org/10.1142/s0218127413501289","title":"DYNAMICS OF THE SPREAD OF TUBERCULOSIS IN HETEROGENEOUS COMPLEX METAPOPULATIONS","display_name":"DYNAMICS OF THE SPREAD OF TUBERCULOSIS IN HETEROGENEOUS COMPLEX METAPOPULATIONS","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W2963155493","doi":"https://doi.org/10.1142/s0218127413501289","mag":"2963155493"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127413501289","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127413501289","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_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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},"type":"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"]}],"countries":["CM"],"is_corresponding":true,"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"],"raw_orcid":null,"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"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051057617","display_name":"Jean Jules Tewa","orcid":"https://orcid.org/0000-0002-4700-3650"},"institutions":[{"id":"https://openalex.org/I1331070479","display_name":"Universit\u00e9 de Yaound\u00e9 I","ror":"https://ror.org/022zbs961","country_code":"CM","type":"education","lineage":["https://openalex.org/I1331070479"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"JEAN JULES TEWA","raw_affiliation_strings":["Department of Mathematics and Physics, National Advanced School of Engineering (Polytechnic ), University of Yaounde I, P. O. Box 8390 Yaounde, Cameroon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Physics, National Advanced School of Engineering (Polytechnic ), University of Yaounde I, P. O. Box 8390 Yaounde, Cameroon","institution_ids":["https://openalex.org/I1331070479"]}]},{"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"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"JURGEN KURTHS","raw_affiliation_strings":["Postdam Institute for Climate Impact Research (PIK), Telegraphenberg A 31, 14412 Potsdam, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Postdam Institute for Climate Impact Research (PIK), Telegraphenberg A 31, 14412 Potsdam, Germany","institution_ids":["https://openalex.org/I60200437"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5109995776"],"corresponding_institution_ids":["https://openalex.org/I163423212"],"apc_list":null,"apc_paid":null,"fwci":0.2496,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.63056642,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"23","issue":"07","first_page":"1350128","last_page":"1350128"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.995199978351593,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9926000237464905,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/metapopulation","display_name":"Metapopulation","score":0.9737786054611206},{"id":"https://openalex.org/keywords/uncorrelated","display_name":"Uncorrelated","score":0.5995524525642395},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5881242156028748},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.541999340057373},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.5331247448921204},{"id":"https://openalex.org/keywords/complex-network","display_name":"Complex network","score":0.4691758453845978},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4110337793827057},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36133265495300293},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2260720431804657},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.17965897917747498},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.16575342416763306},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.14070174098014832},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12332096695899963},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.10892772674560547},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09896969795227051}],"concepts":[{"id":"https://openalex.org/C189569837","wikidata":"https://www.wikidata.org/wiki/Q954495","display_name":"Metapopulation","level":4,"score":0.9737786054611206},{"id":"https://openalex.org/C169345407","wikidata":"https://www.wikidata.org/wiki/Q8216221","display_name":"Uncorrelated","level":2,"score":0.5995524525642395},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5881242156028748},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.541999340057373},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.5331247448921204},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.4691758453845978},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4110337793827057},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36133265495300293},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2260720431804657},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.17965897917747498},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.16575342416763306},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.14070174098014832},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12332096695899963},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.10892772674560547},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09896969795227051},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C47559259","wikidata":"https://www.wikidata.org/wiki/Q778143","display_name":"Biological dispersal","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218127413501289","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127413501289","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_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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},{"id":"pmh:oai:publications.pik-potsdam.de:item_18970","is_oa":false,"landing_page_url":"https://publications.pik-potsdam.de/pubman/item/item_18970","pdf_url":null,"source":{"id":"https://openalex.org/S4306400891","display_name":"Publication Database PIK (Potsdam Institute for Climate Impact Research (PIK))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I60200437","host_organization_name":"Potsdam Institute for Climate Impact Research","host_organization_lineage":["https://openalex.org/I60200437"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320894","display_name":"Abdus Salam International Centre for Theoretical Physics","ror":"https://ror.org/009gyvm78"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1556758605","https://openalex.org/W1572533702","https://openalex.org/W1597912403","https://openalex.org/W1936774573","https://openalex.org/W1983345514","https://openalex.org/W1994294398","https://openalex.org/W1998590186","https://openalex.org/W2006143908","https://openalex.org/W2012308264","https://openalex.org/W2015179481","https://openalex.org/W2018697570","https://openalex.org/W2026195602","https://openalex.org/W2030031616","https://openalex.org/W2033228816","https://openalex.org/W2034785206","https://openalex.org/W2038063928","https://openalex.org/W2038195874","https://openalex.org/W2040280016","https://openalex.org/W2042299084","https://openalex.org/W2045130512","https://openalex.org/W2049489637","https://openalex.org/W2060097856","https://openalex.org/W2064577438","https://openalex.org/W2069977841","https://openalex.org/W2073627497","https://openalex.org/W2085788930","https://openalex.org/W2094014274","https://openalex.org/W2097830179","https://openalex.org/W2112680994","https://openalex.org/W2128436420","https://openalex.org/W2146530408","https://openalex.org/W2161499589","https://openalex.org/W2161728228","https://openalex.org/W2169015768","https://openalex.org/W2249731338"],"related_works":["https://openalex.org/W3030042607","https://openalex.org/W2018503327","https://openalex.org/W2075736091","https://openalex.org/W2067056526","https://openalex.org/W2393573535","https://openalex.org/W4206603947","https://openalex.org/W3031864658","https://openalex.org/W1606426756","https://openalex.org/W4256617386","https://openalex.org/W2007604014"],"abstract_inverted_index":{"This":[0],"paper":[1],"analyzes":[2],"the":[3,6,36,46,67,70,82,85,89,95],"dynamics":[4],"of":[5,8,17,29,32,39,43,69,75,84,94],"spread":[7],"tuberculosis":[9],"(TB)":[10],"on":[11],"complex":[12],"metapopulation,":[13],"that":[14],"is,":[15],"networks":[16],"populations":[18],"connected":[19],"by":[20],"migratory":[21],"flows":[22],"whose":[23],"configurations":[24],"are":[25],"described":[26],"in":[27],"terms":[28],"connectivity":[30,97],"distribution":[31],"nodes":[33,44],"(patches)":[34],"and":[35,51,63],"conditional":[37],"probabilities":[38],"connections":[40],"among":[41],"classes":[42],"sharing":[45],"same":[47],"degree.":[48],"The":[49,73],"migration":[50],"transmission":[52],"processes":[53],"occur":[54],"simultaneously.":[55],"For":[56],"uncorrelated":[57],"networks,":[58],"we":[59],"give":[60],"a":[61,92],"necessary":[62],"sufficient":[64],"condition":[65],"for":[66],"instability":[68],"disease-free":[71],"equilibrium.":[72],"existence":[74],"endemic":[76],"equilibria":[77],"is":[78,98],"also":[79],"discussed.":[80],"Finally,":[81],"prevalence":[83],"TB":[86],"infection":[87],"across":[88],"metapopulation":[90],"as":[91],"function":[93],"path":[96],"studied":[99],"using":[100],"numerical":[101],"simulations.":[102]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}
