{"id":"https://openalex.org/W4396741631","doi":"https://doi.org/10.1007/s12190-024-02109-0","title":"Dynamic analysis of a SIS epidemic model with nonlinear incidence and ratio dependent pulse control","display_name":"Dynamic analysis of a SIS epidemic model with nonlinear incidence and ratio dependent pulse control","publication_year":2024,"publication_date":"2024-05-08","ids":{"openalex":"https://openalex.org/W4396741631","doi":"https://doi.org/10.1007/s12190-024-02109-0"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-024-02109-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-024-02109-0","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/A5091071614","display_name":"Mengxin Zhu","orcid":"https://orcid.org/0000-0001-9465-1469"},"institutions":[{"id":"https://openalex.org/I80143920","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98","country_code":"CN","type":"education","lineage":["https://openalex.org/I80143920"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Mengxin Zhu","raw_affiliation_strings":["College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, People\u2019s Republic of China","College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, People\u2019s Republic of China","institution_ids":["https://openalex.org/I80143920"]},{"raw_affiliation_string":"College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, People's Republic of China","institution_ids":["https://openalex.org/I80143920"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082010998","display_name":"Tongqian Zhang","orcid":"https://orcid.org/0000-0001-9603-3867"},"institutions":[{"id":"https://openalex.org/I80143920","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98","country_code":"CN","type":"education","lineage":["https://openalex.org/I80143920"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tongqian Zhang","raw_affiliation_strings":["College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, People\u2019s Republic of China","College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, People\u2019s Republic of China","institution_ids":["https://openalex.org/I80143920"]},{"raw_affiliation_string":"College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, People's Republic of China","institution_ids":["https://openalex.org/I80143920"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5091071614"],"corresponding_institution_ids":["https://openalex.org/I80143920"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.5618,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.67792709,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"70","issue":"4","first_page":"3509","last_page":"3532"},"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":0.9995999932289124,"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":0.9995999932289124,"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":0.9896000027656555,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9460999965667725,"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/mathematics","display_name":"Mathematics","score":0.7342051267623901},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6840985417366028},{"id":"https://openalex.org/keywords/pulse","display_name":"Pulse (music)","score":0.6638785600662231},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.661601185798645},{"id":"https://openalex.org/keywords/incidence","display_name":"Incidence (geometry)","score":0.6343099474906921},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.5453528761863708},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5110632181167603},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.491924524307251},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4486421048641205},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.42744410037994385},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.32892170548439026},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1501276195049286},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14266374707221985},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1322106420993805},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.07412046194076538},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06958979368209839}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7342051267623901},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6840985417366028},{"id":"https://openalex.org/C2780167933","wikidata":"https://www.wikidata.org/wiki/Q1550652","display_name":"Pulse (music)","level":3,"score":0.6638785600662231},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.661601185798645},{"id":"https://openalex.org/C61511704","wikidata":"https://www.wikidata.org/wiki/Q1671857","display_name":"Incidence (geometry)","level":2,"score":0.6343099474906921},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.5453528761863708},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5110632181167603},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.491924524307251},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4486421048641205},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.42744410037994385},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.32892170548439026},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1501276195049286},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14266374707221985},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1322106420993805},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.07412046194076538},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06958979368209839},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-024-02109-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-024-02109-0","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":[{"display_name":"Good health and well-being","score":0.7599999904632568,"id":"https://metadata.un.org/sdg/3"}],"awards":[{"id":"https://openalex.org/G5645008853","display_name":null,"funder_award_id":"12271308","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"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":67,"referenced_works":["https://openalex.org/W1965111483","https://openalex.org/W1966494038","https://openalex.org/W1969165664","https://openalex.org/W1971998368","https://openalex.org/W1999799128","https://openalex.org/W2003587467","https://openalex.org/W2008115005","https://openalex.org/W2009829504","https://openalex.org/W2012470375","https://openalex.org/W2016097363","https://openalex.org/W2019011944","https://openalex.org/W2022434170","https://openalex.org/W2024844031","https://openalex.org/W2031504517","https://openalex.org/W2032943239","https://openalex.org/W2034471702","https://openalex.org/W2039909741","https://openalex.org/W2041501902","https://openalex.org/W2042391826","https://openalex.org/W2053786065","https://openalex.org/W2059343403","https://openalex.org/W2068137975","https://openalex.org/W2069664525","https://openalex.org/W2072126012","https://openalex.org/W2083800726","https://openalex.org/W2090164739","https://openalex.org/W2090944102","https://openalex.org/W2101223122","https://openalex.org/W2120761563","https://openalex.org/W2144301074","https://openalex.org/W2148301044","https://openalex.org/W2312701197","https://openalex.org/W2418377374","https://openalex.org/W2765585550","https://openalex.org/W2819453093","https://openalex.org/W2896440363","https://openalex.org/W2916848755","https://openalex.org/W2920292840","https://openalex.org/W2954177435","https://openalex.org/W2965022206","https://openalex.org/W2974573937","https://openalex.org/W2999406448","https://openalex.org/W3045862780","https://openalex.org/W3125273522","https://openalex.org/W3138781837","https://openalex.org/W3152221430","https://openalex.org/W3177870184","https://openalex.org/W3214963697","https://openalex.org/W4200178145","https://openalex.org/W4280640584","https://openalex.org/W4300352410","https://openalex.org/W4307572653","https://openalex.org/W4308289195","https://openalex.org/W4311556607","https://openalex.org/W4313681614","https://openalex.org/W4322724039","https://openalex.org/W4362630966","https://openalex.org/W4376619532","https://openalex.org/W4385488147","https://openalex.org/W4388219389","https://openalex.org/W4388507473","https://openalex.org/W4388914450","https://openalex.org/W4388979551","https://openalex.org/W4389472028","https://openalex.org/W4389481789","https://openalex.org/W4390232060","https://openalex.org/W4391512009"],"related_works":["https://openalex.org/W4323768008","https://openalex.org/W1941703695","https://openalex.org/W3131574667","https://openalex.org/W4360995134","https://openalex.org/W4248382324","https://openalex.org/W3023605104","https://openalex.org/W2039473718","https://openalex.org/W2387529410","https://openalex.org/W2383578611","https://openalex.org/W2987583674"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}