{"id":"https://openalex.org/W4392876471","doi":"https://doi.org/10.1007/s12190-024-02025-3","title":"Dynamics of two-strain epidemic model with imperfect vaccination on complex networks","display_name":"Dynamics of two-strain epidemic model with imperfect vaccination on complex networks","publication_year":2024,"publication_date":"2024-03-16","ids":{"openalex":"https://openalex.org/W4392876471","doi":"https://doi.org/10.1007/s12190-024-02025-3"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-024-02025-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-024-02025-3","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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 Applied Mathematics and Computing","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/A5100735634","display_name":"Shuping Li","orcid":"https://orcid.org/0000-0001-9908-4678"},"institutions":[{"id":"https://openalex.org/I135714990","display_name":"North University of China","ror":"https://ror.org/047bp1713","country_code":"CN","type":"education","lineage":["https://openalex.org/I135714990"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shuping Li","raw_affiliation_strings":["School of Mathematics, North University of China, Xueyuan Road, Taiyuan, 030051, Shanxi, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, North University of China, Xueyuan Road, Taiyuan, 030051, Shanxi, China","institution_ids":["https://openalex.org/I135714990"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100312494","display_name":"Yuru Yuan","orcid":null},"institutions":[{"id":"https://openalex.org/I135714990","display_name":"North University of China","ror":"https://ror.org/047bp1713","country_code":"CN","type":"education","lineage":["https://openalex.org/I135714990"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuru Yuan","raw_affiliation_strings":["School of Mathematics, North University of China, Xueyuan Road, Taiyuan, 030051, Shanxi, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, North University of China, Xueyuan Road, Taiyuan, 030051, Shanxi, China","institution_ids":["https://openalex.org/I135714990"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100735634"],"corresponding_institution_ids":["https://openalex.org/I135714990"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.8341,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.71903807,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"70","issue":"3","first_page":"1859","last_page":"1885"},"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":0.9998999834060669,"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":0.9998999834060669,"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":0.9990000128746033,"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/T10410","display_name":"COVID-19 epidemiological studies","score":0.998199999332428,"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/epidemic-model","display_name":"Epidemic model","score":0.6581441760063171},{"id":"https://openalex.org/keywords/vaccination","display_name":"Vaccination","score":0.6265520453453064},{"id":"https://openalex.org/keywords/imperfect","display_name":"Imperfect","score":0.5950461030006409},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5576803684234619},{"id":"https://openalex.org/keywords/disease","display_name":"Disease","score":0.5059341788291931},{"id":"https://openalex.org/keywords/basic-reproduction-number","display_name":"Basic reproduction number","score":0.48859506845474243},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4850839674472809},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4692057967185974},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.43255022168159485},{"id":"https://openalex.org/keywords/invariance-principle","display_name":"Invariance principle","score":0.4270263612270355},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3604767322540283},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34580159187316895},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.24186989665031433},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.173316091299057},{"id":"https://openalex.org/keywords/virology","display_name":"Virology","score":0.1362948715686798},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.10008043050765991},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.0821906328201294},{"id":"https://openalex.org/keywords/environmental-health","display_name":"Environmental health","score":0.07835441827774048}],"concepts":[{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.6581441760063171},{"id":"https://openalex.org/C22070199","wikidata":"https://www.wikidata.org/wiki/Q192995","display_name":"Vaccination","level":2,"score":0.6265520453453064},{"id":"https://openalex.org/C2780310539","wikidata":"https://www.wikidata.org/wiki/Q12547192","display_name":"Imperfect","level":2,"score":0.5950461030006409},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5576803684234619},{"id":"https://openalex.org/C2779134260","wikidata":"https://www.wikidata.org/wiki/Q12136","display_name":"Disease","level":2,"score":0.5059341788291931},{"id":"https://openalex.org/C204264503","wikidata":"https://www.wikidata.org/wiki/Q901464","display_name":"Basic reproduction number","level":3,"score":0.48859506845474243},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4850839674472809},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4692057967185974},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.43255022168159485},{"id":"https://openalex.org/C156387681","wikidata":"https://www.wikidata.org/wiki/Q6059484","display_name":"Invariance principle","level":2,"score":0.4270263612270355},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3604767322540283},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34580159187316895},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.24186989665031433},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.173316091299057},{"id":"https://openalex.org/C159047783","wikidata":"https://www.wikidata.org/wiki/Q7215","display_name":"Virology","level":1,"score":0.1362948715686798},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.10008043050765991},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0821906328201294},{"id":"https://openalex.org/C99454951","wikidata":"https://www.wikidata.org/wiki/Q932068","display_name":"Environmental health","level":1,"score":0.07835441827774048},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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:10.1007/s12190-024-02025-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-024-02025-3","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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 Applied Mathematics and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","score":0.699999988079071,"display_name":"Good health and well-being"}],"awards":[{"id":"https://openalex.org/G2051446023","display_name":null,"funder_award_id":"12101574","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5182921251","display_name":null,"funder_award_id":"20210302124621","funder_id":"https://openalex.org/F4320317785","funder_display_name":"Shanxi Provincial Postdoctoral Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320317785","display_name":"Shanxi Provincial Postdoctoral Science Foundation","ror":null},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1995608339","https://openalex.org/W2057584364","https://openalex.org/W2062005906","https://openalex.org/W2112680994","https://openalex.org/W2243769069","https://openalex.org/W2498243774","https://openalex.org/W2561246680","https://openalex.org/W2774645599","https://openalex.org/W2900589904","https://openalex.org/W2915982774","https://openalex.org/W2974175382","https://openalex.org/W3011126368","https://openalex.org/W3031885663","https://openalex.org/W3095896702","https://openalex.org/W3107377560","https://openalex.org/W3159499891","https://openalex.org/W3202467068","https://openalex.org/W3207850185","https://openalex.org/W3213641249","https://openalex.org/W3216547271","https://openalex.org/W4210407102","https://openalex.org/W4212798919","https://openalex.org/W4213262692","https://openalex.org/W4214650806","https://openalex.org/W4220946221","https://openalex.org/W4283759218","https://openalex.org/W4285089336","https://openalex.org/W4293156014","https://openalex.org/W4311423885","https://openalex.org/W4320919439","https://openalex.org/W4323359211","https://openalex.org/W4382777670","https://openalex.org/W4385634798","https://openalex.org/W4390574181"],"related_works":["https://openalex.org/W2490383829","https://openalex.org/W4320351350","https://openalex.org/W2230721379","https://openalex.org/W2376250553","https://openalex.org/W3195354540","https://openalex.org/W3138234900","https://openalex.org/W2356839139","https://openalex.org/W4388177052","https://openalex.org/W3113377908","https://openalex.org/W4318818740"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
