{"id":"https://openalex.org/W2052838526","doi":"https://doi.org/10.1007/s11424-006-0393-9","title":"Global Asymptotic Stable Eradication for the Siv Epidemic Model with Impulsive Vaccination and Infection-Age","display_name":"Global Asymptotic Stable Eradication for the Siv Epidemic Model with Impulsive Vaccination and Infection-Age","publication_year":2006,"publication_date":"2006-09-01","ids":{"openalex":"https://openalex.org/W2052838526","doi":"https://doi.org/10.1007/s11424-006-0393-9","mag":"2052838526"},"language":"en","primary_location":{"id":"doi:10.1007/s11424-006-0393-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11424-006-0393-9","pdf_url":null,"source":{"id":"https://openalex.org/S45848134","display_name":"Journal of Systems Science and Complexity","issn_l":"1009-6124","issn":["1009-6124","1559-7067"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Systems Science and Complexity","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/A5059688230","display_name":"Helong Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I38756568","display_name":"Xinyang Agriculture and Forestry University","ror":"https://ror.org/017t6fa07","country_code":"CN","type":"education","lineage":["https://openalex.org/I38756568"]},{"id":"https://openalex.org/I4210104311","display_name":"Institute of Scientific and Technical Information of China","ror":"https://ror.org/01b2av652","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210104311","https://openalex.org/I4210120069","https://openalex.org/I4210127390"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Helong Liu","raw_affiliation_strings":["Beijing Institute of Information and Control, Beijing, 100037, China","Department of Mathematics, Xinyang Teachers College, Xinyang, 464000, China","Beijing Institute of Information and Control, Beijing, China","Department of Mathematics, Xinyang Teachers College, Xinyang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing Institute of Information and Control, Beijing, 100037, China","institution_ids":["https://openalex.org/I4210104311"]},{"raw_affiliation_string":"Department of Mathematics, Xinyang Teachers College, Xinyang, 464000, China","institution_ids":["https://openalex.org/I38756568"]},{"raw_affiliation_string":"Beijing Institute of Information and Control, Beijing, China","institution_ids":["https://openalex.org/I4210104311"]},{"raw_affiliation_string":"Department of Mathematics, Xinyang Teachers College, Xinyang, China","institution_ids":["https://openalex.org/I38756568"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011835472","display_name":"Jingyuan Yu","orcid":"https://orcid.org/0000-0002-9400-4859"},"institutions":[{"id":"https://openalex.org/I4210104311","display_name":"Institute of Scientific and Technical Information of China","ror":"https://ror.org/01b2av652","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210104311","https://openalex.org/I4210120069","https://openalex.org/I4210127390"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jingyuan Yu","raw_affiliation_strings":["Beijing Institute of Information and Control, Beijing, 100037, China","Beijing Institute of Information and Control, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing Institute of Information and Control, Beijing, 100037, China","institution_ids":["https://openalex.org/I4210104311"]},{"raw_affiliation_string":"Beijing Institute of Information and Control, Beijing, China","institution_ids":["https://openalex.org/I4210104311"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100854927","display_name":"Guangtian Zhu","orcid":"https://orcid.org/0000-0002-3677-8143"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guangtian Zhu","raw_affiliation_strings":["Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China","Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"raw_affiliation_string":"Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5059688230"],"corresponding_institution_ids":["https://openalex.org/I38756568","https://openalex.org/I4210104311"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.17360823,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"19","issue":"3","first_page":"393","last_page":"402"},"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":0.9983000159263611,"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":0.9983000159263611,"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":0.9958000183105469,"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":0.9560999870300293,"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/vaccination","display_name":"Vaccination","score":0.7932096719741821},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.6329776644706726},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5224722623825073},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.49208515882492065},{"id":"https://openalex.org/keywords/pulse","display_name":"Pulse (music)","score":0.47550684213638306},{"id":"https://openalex.org/keywords/epidemic-model","display_name":"Epidemic model","score":0.44208601117134094},{"id":"https://openalex.org/keywords/epidemiology","display_name":"Epidemiology","score":0.44023025035858154},{"id":"https://openalex.org/keywords/complex-system","display_name":"Complex system","score":0.4397548735141754},{"id":"https://openalex.org/keywords/human-immunodeficiency-virus","display_name":"Human immunodeficiency virus (HIV)","score":0.41812461614608765},{"id":"https://openalex.org/keywords/virology","display_name":"Virology","score":0.4172074794769287},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3980851173400879},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.3743847608566284},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3636016845703125},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2624879479408264},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24040487408638},{"id":"https://openalex.org/keywords/internal-medicine","display_name":"Internal medicine","score":0.15870577096939087},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14997228980064392},{"id":"https://openalex.org/keywords/environmental-health","display_name":"Environmental health","score":0.1347464919090271},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.09157127141952515},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0695447027683258},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.06870639324188232}],"concepts":[{"id":"https://openalex.org/C22070199","wikidata":"https://www.wikidata.org/wiki/Q192995","display_name":"Vaccination","level":2,"score":0.7932096719741821},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.6329776644706726},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5224722623825073},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.49208515882492065},{"id":"https://openalex.org/C2780167933","wikidata":"https://www.wikidata.org/wiki/Q1550652","display_name":"Pulse (music)","level":3,"score":0.47550684213638306},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.44208601117134094},{"id":"https://openalex.org/C107130276","wikidata":"https://www.wikidata.org/wiki/Q133805","display_name":"Epidemiology","level":2,"score":0.44023025035858154},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.4397548735141754},{"id":"https://openalex.org/C3013748606","wikidata":"https://www.wikidata.org/wiki/Q15787","display_name":"Human immunodeficiency virus (HIV)","level":2,"score":0.41812461614608765},{"id":"https://openalex.org/C159047783","wikidata":"https://www.wikidata.org/wiki/Q7215","display_name":"Virology","level":1,"score":0.4172074794769287},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3980851173400879},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.3743847608566284},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3636016845703125},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2624879479408264},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24040487408638},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.15870577096939087},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14997228980064392},{"id":"https://openalex.org/C99454951","wikidata":"https://www.wikidata.org/wiki/Q932068","display_name":"Environmental health","level":1,"score":0.1347464919090271},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.09157127141952515},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0695447027683258},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.06870639324188232},{"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/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11424-006-0393-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11424-006-0393-9","pdf_url":null,"source":{"id":"https://openalex.org/S45848134","display_name":"Journal of Systems Science and Complexity","issn_l":"1009-6124","issn":["1009-6124","1559-7067"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Systems Science and Complexity","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3","score":0.5400000214576721}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W228144990","https://openalex.org/W1964548077","https://openalex.org/W1997347792","https://openalex.org/W1998564383","https://openalex.org/W2016244260","https://openalex.org/W2019011944","https://openalex.org/W2022434170","https://openalex.org/W2039834143","https://openalex.org/W2054353417","https://openalex.org/W2064616560","https://openalex.org/W2082138305","https://openalex.org/W2083321256","https://openalex.org/W2090119445","https://openalex.org/W2120761563","https://openalex.org/W2124441204","https://openalex.org/W2132052962","https://openalex.org/W4238086324"],"related_works":["https://openalex.org/W2352833050","https://openalex.org/W2621054508","https://openalex.org/W2769572164","https://openalex.org/W2551300110","https://openalex.org/W1993677558","https://openalex.org/W2372125514","https://openalex.org/W2078488499","https://openalex.org/W3099147493","https://openalex.org/W3128673931","https://openalex.org/W2580364155"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
