{"id":"https://openalex.org/W2002333827","doi":"https://doi.org/10.1155/2013/429567","title":"Dynamic of a TB-HIV Coinfection Epidemic Model with Latent Age","display_name":"Dynamic of a TB-HIV Coinfection Epidemic Model with Latent Age","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2002333827","doi":"https://doi.org/10.1155/2013/429567","mag":"2002333827"},"language":"en","primary_location":{"id":"doi:10.1155/2013/429567","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/429567","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/429567.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2013/429567.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100381788","display_name":"Xiaoyan Wang","orcid":"https://orcid.org/0000-0002-6870-6048"},"institutions":[{"id":"https://openalex.org/I110262843","display_name":"Yuncheng University","ror":"https://ror.org/03qt1g669","country_code":"CN","type":"education","lineage":["https://openalex.org/I110262843"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoyan Wang","raw_affiliation_strings":["Department of Applied Mathematics, Yuncheng University, Yuncheng 044000, Shanxi, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Yuncheng University, Yuncheng 044000, Shanxi, China","institution_ids":["https://openalex.org/I110262843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033501751","display_name":"Junyuan Yang","orcid":"https://orcid.org/0000-0002-5825-3364"},"institutions":[{"id":"https://openalex.org/I110262843","display_name":"Yuncheng University","ror":"https://ror.org/03qt1g669","country_code":"CN","type":"education","lineage":["https://openalex.org/I110262843"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Junyuan Yang","raw_affiliation_strings":["Department of Applied Mathematics, Yuncheng University, Yuncheng 044000, Shanxi, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Yuncheng University, Yuncheng 044000, Shanxi, China","institution_ids":["https://openalex.org/I110262843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103051745","display_name":"Fengqin Zhang","orcid":"https://orcid.org/0000-0002-8969-0807"},"institutions":[{"id":"https://openalex.org/I110262843","display_name":"Yuncheng University","ror":"https://ror.org/03qt1g669","country_code":"CN","type":"education","lineage":["https://openalex.org/I110262843"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fengqin Zhang","raw_affiliation_strings":["Department of Applied Mathematics, Yuncheng University, Yuncheng 044000, Shanxi, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Yuncheng University, Yuncheng 044000, Shanxi, China","institution_ids":["https://openalex.org/I110262843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5033501751"],"corresponding_institution_ids":["https://openalex.org/I110262843"],"apc_list":{"value":1050,"currency":"USD","value_usd":1050},"apc_paid":{"value":1050,"currency":"USD","value_usd":1050},"fwci":0.3196,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.6782241,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"2013","issue":null,"first_page":"1","last_page":"13"},"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":0.9991999864578247,"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":0.9991999864578247,"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/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.9571999907493591,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9524999856948853,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/coinfection","display_name":"Coinfection","score":0.8550320267677307},{"id":"https://openalex.org/keywords/tuberculosis","display_name":"Tuberculosis","score":0.7413746118545532},{"id":"https://openalex.org/keywords/disease","display_name":"Disease","score":0.5966603755950928},{"id":"https://openalex.org/keywords/human-immunodeficiency-virus","display_name":"Human immunodeficiency virus (HIV)","score":0.5914220809936523},{"id":"https://openalex.org/keywords/infectious-disease","display_name":"Infectious disease (medical specialty)","score":0.5630262494087219},{"id":"https://openalex.org/keywords/virology","display_name":"Virology","score":0.485965371131897},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.4695264399051666},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.44536134600639343},{"id":"https://openalex.org/keywords/immunology","display_name":"Immunology","score":0.3723590075969696},{"id":"https://openalex.org/keywords/environmental-health","display_name":"Environmental health","score":0.16476410627365112},{"id":"https://openalex.org/keywords/internal-medicine","display_name":"Internal medicine","score":0.07204905152320862},{"id":"https://openalex.org/keywords/pathology","display_name":"Pathology","score":0.05514425039291382}],"concepts":[{"id":"https://openalex.org/C2777813720","wikidata":"https://www.wikidata.org/wiki/Q1243018","display_name":"Coinfection","level":3,"score":0.8550320267677307},{"id":"https://openalex.org/C2781069245","wikidata":"https://www.wikidata.org/wiki/Q12204","display_name":"Tuberculosis","level":2,"score":0.7413746118545532},{"id":"https://openalex.org/C2779134260","wikidata":"https://www.wikidata.org/wiki/Q12136","display_name":"Disease","level":2,"score":0.5966603755950928},{"id":"https://openalex.org/C3013748606","wikidata":"https://www.wikidata.org/wiki/Q15787","display_name":"Human immunodeficiency virus (HIV)","level":2,"score":0.5914220809936523},{"id":"https://openalex.org/C524204448","wikidata":"https://www.wikidata.org/wiki/Q788926","display_name":"Infectious disease (medical specialty)","level":3,"score":0.5630262494087219},{"id":"https://openalex.org/C159047783","wikidata":"https://www.wikidata.org/wiki/Q7215","display_name":"Virology","level":1,"score":0.485965371131897},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.4695264399051666},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.44536134600639343},{"id":"https://openalex.org/C203014093","wikidata":"https://www.wikidata.org/wiki/Q101929","display_name":"Immunology","level":1,"score":0.3723590075969696},{"id":"https://openalex.org/C99454951","wikidata":"https://www.wikidata.org/wiki/Q932068","display_name":"Environmental health","level":1,"score":0.16476410627365112},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.07204905152320862},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.05514425039291382}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2013/429567","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/429567","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/429567.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1394807906","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1394807906","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:429567","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2013/429567.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:c6036486b8b54b3d96809f0429b4dca3","is_oa":false,"landing_page_url":"https://doaj.org/article/c6036486b8b54b3d96809f0429b4dca3","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2013 (2013)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2013/429567","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/429567","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/429567.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.8700000047683716,"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being"}],"awards":[{"id":"https://openalex.org/G1007616317","display_name":null,"funder_award_id":"2011021001-1","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3024311762","display_name":null,"funder_award_id":"61203228","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4488020043","display_name":null,"funder_award_id":"11226258","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6134289144","display_name":null,"funder_award_id":"JY-2011036","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7713451548","display_name":"NSF Postdoctoral Fellowship in Biology FY 2020","funder_award_id":"2011045","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8431111965","display_name":null,"funder_award_id":"YQ-2011045","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8897742636","display_name":"\u4e0d\u80b2\u63a7\u5236\u4e0b\u5bb3\u9f20\u79cd\u7fa4\u52a8\u6001\u5efa\u6a21\u4e0e\u7814\u7a76","funder_award_id":"11071283","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2002333827.pdf","grobid_xml":"https://content.openalex.org/works/W2002333827.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1508639817","https://openalex.org/W1540294802","https://openalex.org/W1547893570","https://openalex.org/W1980742924","https://openalex.org/W1995608339","https://openalex.org/W2003361675","https://openalex.org/W2011771253","https://openalex.org/W2024047746","https://openalex.org/W2037581075","https://openalex.org/W2081175663","https://openalex.org/W2095825215","https://openalex.org/W2103412135","https://openalex.org/W2123261528","https://openalex.org/W2151969385","https://openalex.org/W2152391644","https://openalex.org/W2335595517"],"related_works":["https://openalex.org/W2136221378","https://openalex.org/W177105905","https://openalex.org/W1896517046","https://openalex.org/W3183473281","https://openalex.org/W2577077467","https://openalex.org/W3121046352","https://openalex.org/W2347030981","https://openalex.org/W2315137771","https://openalex.org/W3197357982","https://openalex.org/W4224280627"],"abstract_inverted_index":{"A":[0],"coepidemic":[1],"arises":[2],"when":[3],"the":[4,11,91,101,116,120,126,131,136],"spread":[5,12],"of":[6,13,31,51,96,103,109,118,122,130,139],"one":[7],"infectious":[8,15,112],"disease":[9,79,113,124],"stimulates":[10],"another":[14],"disease.":[16,133],"Recently,":[17],"this":[18],"has":[19],"happened":[20],"with":[21,34],"human":[22],"immunodeficiency":[23],"virus":[24],"(HIV)":[25],"and":[26,63,70,85,128,142],"tuberculosis":[27,36],"(TB).":[28],"The":[29,43,72],"density":[30],"individuals":[32],"infected":[33],"latent":[35,53],"is":[37,46],"structured":[38],"by":[39,67],"age":[40],"since":[41],"latency.":[42],"host":[44],"population":[45],"divided":[47],"into":[48],"five":[49],"subclasses":[50],"susceptibles,":[52],"TB,":[54],"active":[55],"TB":[56,69,82],"(without":[57,61],"HIV),":[58],"HIV":[59,86],"infectives":[60],"TB),":[62],"coinfection":[64],"class":[65],"(infected":[66],"both":[68],"HIV).":[71],"model":[73,108,141],"exhibits":[74],"three":[75],"boundary":[76,97],"equilibria,":[77],"namely,":[78],"free":[80],"equilibrium,":[81,84],"dominated":[83,87],"equilibrium.":[88],"We":[89,99,134],"discuss":[90],"local":[92],"or":[93],"global":[94],"stabilities":[95],"equilibria.":[98],"prove":[100],"persistence":[102],"our":[104,140],"model.":[105],"Our":[106],"simple":[107],"two":[110],"synergistic":[111],"epidemics":[114],"illustrates":[115],"importance":[117],"including":[119],"effects":[121],"each":[123],"on":[125],"transmission":[127],"progression":[129],"other":[132],"simulate":[135],"dynamic":[137],"behaviors":[138],"give":[143],"medicine":[144],"explanations.":[145]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}