{"id":"https://openalex.org/W1968972679","doi":"https://doi.org/10.1137/110827028","title":"Global Dynamics of a General Class of Multistage Models for Infectious Diseases","display_name":"Global Dynamics of a General Class of Multistage Models for Infectious Diseases","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1968972679","doi":"https://doi.org/10.1137/110827028","mag":"1968972679"},"language":"en","primary_location":{"id":"doi:10.1137/110827028","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110827028","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","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/A5114091020","display_name":"Hongbin Guo","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Hongbin Guo","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018475416","display_name":"Michael Y. Li","orcid":"https://orcid.org/0000-0002-4403-1429"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Michael Y. Li","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5076385958","display_name":"Zhisheng Shuai","orcid":"https://orcid.org/0000-0002-9599-6589"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhisheng Shuai","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5114091020"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.2723,"has_fulltext":false,"cited_by_count":102,"citation_normalized_percentile":{"value":0.96398168,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"72","issue":"1","first_page":"261","last_page":"279"},"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":0.9997000098228455,"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":0.9997000098228455,"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/T10410","display_name":"COVID-19 epidemiological studies","score":0.9965999722480774,"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"}},{"id":"https://openalex.org/T11764","display_name":"Evolution and Genetic Dynamics","score":0.989799976348877,"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/basic-reproduction-number","display_name":"Basic reproduction number","score":0.7328682541847229},{"id":"https://openalex.org/keywords/infectious-disease","display_name":"Infectious disease (medical specialty)","score":0.6019009351730347},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5490158796310425},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.5291674137115479},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5266937017440796},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5201038122177124},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5174403786659241},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5094011425971985},{"id":"https://openalex.org/keywords/tuberculosis","display_name":"Tuberculosis","score":0.46542567014694214},{"id":"https://openalex.org/keywords/human-immunodeficiency-virus","display_name":"Human immunodeficiency virus (HIV)","score":0.4563002288341522},{"id":"https://openalex.org/keywords/disease","display_name":"Disease","score":0.4218243956565857},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3418504595756531},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.28490930795669556},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25893786549568176},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.1565077304840088},{"id":"https://openalex.org/keywords/virology","display_name":"Virology","score":0.14466458559036255},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09723883867263794},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09498000144958496}],"concepts":[{"id":"https://openalex.org/C204264503","wikidata":"https://www.wikidata.org/wiki/Q901464","display_name":"Basic reproduction number","level":3,"score":0.7328682541847229},{"id":"https://openalex.org/C524204448","wikidata":"https://www.wikidata.org/wiki/Q788926","display_name":"Infectious disease (medical specialty)","level":3,"score":0.6019009351730347},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5490158796310425},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.5291674137115479},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5266937017440796},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5201038122177124},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5174403786659241},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5094011425971985},{"id":"https://openalex.org/C2781069245","wikidata":"https://www.wikidata.org/wiki/Q12204","display_name":"Tuberculosis","level":2,"score":0.46542567014694214},{"id":"https://openalex.org/C3013748606","wikidata":"https://www.wikidata.org/wiki/Q15787","display_name":"Human immunodeficiency virus (HIV)","level":2,"score":0.4563002288341522},{"id":"https://openalex.org/C2779134260","wikidata":"https://www.wikidata.org/wiki/Q12136","display_name":"Disease","level":2,"score":0.4218243956565857},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3418504595756531},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.28490930795669556},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25893786549568176},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.1565077304840088},{"id":"https://openalex.org/C159047783","wikidata":"https://www.wikidata.org/wiki/Q7215","display_name":"Virology","level":1,"score":0.14466458559036255},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09723883867263794},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09498000144958496},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0},{"id":"https://openalex.org/C99454951","wikidata":"https://www.wikidata.org/wiki/Q932068","display_name":"Environmental health","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/110827028","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110827028","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","score":0.8600000143051147,"display_name":"Good health and well-being"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W567930972","https://openalex.org/W599250420","https://openalex.org/W641302388","https://openalex.org/W1500921805","https://openalex.org/W1510122527","https://openalex.org/W1578296310","https://openalex.org/W1606697907","https://openalex.org/W1964273550","https://openalex.org/W1970718404","https://openalex.org/W1973106743","https://openalex.org/W1975187860","https://openalex.org/W1985782993","https://openalex.org/W1988236284","https://openalex.org/W1992640600","https://openalex.org/W1996970583","https://openalex.org/W2012967905","https://openalex.org/W2016369313","https://openalex.org/W2016878873","https://openalex.org/W2017356978","https://openalex.org/W2021038811","https://openalex.org/W2022126713","https://openalex.org/W2030142085","https://openalex.org/W2034702367","https://openalex.org/W2039924604","https://openalex.org/W2041572706","https://openalex.org/W2051276691","https://openalex.org/W2054353417","https://openalex.org/W2055605553","https://openalex.org/W2072689735","https://openalex.org/W2074992777","https://openalex.org/W2078638504","https://openalex.org/W2079067287","https://openalex.org/W2085312010","https://openalex.org/W2088322667","https://openalex.org/W2111467186","https://openalex.org/W2112680994","https://openalex.org/W2115980981","https://openalex.org/W2129992593","https://openalex.org/W2137228444","https://openalex.org/W2144010669","https://openalex.org/W2146400592","https://openalex.org/W2147822908","https://openalex.org/W2171914026","https://openalex.org/W2327963459","https://openalex.org/W2910747290"],"related_works":["https://openalex.org/W2361615820","https://openalex.org/W2616206390","https://openalex.org/W2372335318","https://openalex.org/W2253278609","https://openalex.org/W2291742240","https://openalex.org/W2511412881","https://openalex.org/W4320351350","https://openalex.org/W2372947689","https://openalex.org/W2009249058","https://openalex.org/W3203592860"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,119],"general":[3,60,64],"class":[4],"of":[5,36,51,67],"multistage":[6],"epidemiological":[7],"models":[8,21,45,57],"that":[9,85],"allow":[10],"possible":[11],"deterioration":[12],"and":[13,38,63,83,104,118],"amelioration":[14],"between":[15],"any":[16],"two":[17],"infected":[18],"stages.":[19,71],"The":[20,56],"can":[22],"describe":[23],"disease":[24,106,113],"progression":[25],"through":[26],"multiple":[27],"latent":[28],"or":[29,53],"infectious":[30],"stages":[31,117],"as":[32],"in":[33,115],"the":[34,44,49,78,86,97,105,112],"case":[35],"HIV":[37],"tuberculosis.":[39],"Amelioration":[40],"is":[41,100,123],"incorporated":[42],"into":[43],"to":[46],"account":[47],"for":[48],"effects":[50],"antiretroviral":[52],"antibiotic":[54],"treatment.":[55],"also":[58],"incorporate":[59],"nonlinear":[61,65],"incidences":[62],"forms":[66],"population":[68],"transfer":[69],"among":[70],"Under":[72],"biologically":[73],"motivated":[74],"assumptions,":[75],"we":[76],"derive":[77],"basic":[79],"reproduction":[80],"number":[81],"$R_0$":[82],"show":[84],"global":[87],"dynamics":[88],"are":[89],"completely":[90],"determined":[91],"by":[92],"$R_0$:":[93],"if":[94,109],"$R_0\\leq":[95],"1$,":[96],"disease-free":[98],"equilibrium":[99,122],"globally":[101,124],"asymptotically":[102,125],"stable,":[103],"dies":[107],"out;":[108],"$R_0>1$,":[110],"then":[111],"persists":[114],"all":[116],"unique":[120],"endemic":[121],"stable.":[126]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":14},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}
