{"id":"https://openalex.org/W4398137896","doi":"https://doi.org/10.1007/s12190-024-02124-1","title":"Analysis of a delayed malaria transmission model including vaccination with waning immunity and reinfection","display_name":"Analysis of a delayed malaria transmission model including vaccination with waning immunity and reinfection","publication_year":2024,"publication_date":"2024-05-20","ids":{"openalex":"https://openalex.org/W4398137896","doi":"https://doi.org/10.1007/s12190-024-02124-1"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-024-02124-1","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s12190-024-02124-1","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/A5100325432","display_name":"Jinhui Li","orcid":"https://orcid.org/0000-0001-8434-8415"},"institutions":[{"id":"https://openalex.org/I13175533","display_name":"Fuyang Normal University","ror":"https://ror.org/02njz9p87","country_code":"CN","type":"education","lineage":["https://openalex.org/I13175533"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinhui Li","raw_affiliation_strings":["School of Mathematics and Statistics, Fuyang Normal University, Fuyang, 236041, Anhui, People\u2019s Republic of China","School of Mathematics and Statistics, Fuyang Normal University, Fuyang, 236041, Anhui, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0001-8434-8415","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Fuyang Normal University, Fuyang, 236041, Anhui, People\u2019s Republic of China","institution_ids":["https://openalex.org/I13175533"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Fuyang Normal University, Fuyang, 236041, Anhui, People's Republic of China","institution_ids":["https://openalex.org/I13175533"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090266295","display_name":"Zhidong Teng","orcid":"https://orcid.org/0000-0001-8022-9689"},"institutions":[{"id":"https://openalex.org/I154093214","display_name":"Xinjiang Medical University","ror":"https://ror.org/01p455v08","country_code":"CN","type":"education","lineage":["https://openalex.org/I154093214"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhidong Teng","raw_affiliation_strings":["College of Medical Engeineering and Technology, Xinjiang Medical University, Urumqi, 830017, People\u2019s Republic of China","College of Medical Engeineering and Technology, Xinjiang Medical University, Urumqi, 830017, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Medical Engeineering and Technology, Xinjiang Medical University, Urumqi, 830017, People\u2019s Republic of China","institution_ids":["https://openalex.org/I154093214"]},{"raw_affiliation_string":"College of Medical Engeineering and Technology, Xinjiang Medical University, Urumqi, 830017, People's Republic of China","institution_ids":["https://openalex.org/I154093214"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059990495","display_name":"Ning Wang","orcid":"https://orcid.org/0000-0001-5093-9380"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ning Wang","raw_affiliation_strings":["College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, People\u2019s Republic of China","College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, People\u2019s Republic of China","institution_ids":["https://openalex.org/I96908189"]},{"raw_affiliation_string":"College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, People's Republic of China","institution_ids":["https://openalex.org/I96908189"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100664760","display_name":"Wei Chen","orcid":"https://orcid.org/0000-0001-5649-081X"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Chen","raw_affiliation_strings":["College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, People\u2019s Republic of China","College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, People\u2019s Republic of China","institution_ids":["https://openalex.org/I96908189"]},{"raw_affiliation_string":"College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, People's Republic of China","institution_ids":["https://openalex.org/I96908189"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5090266295"],"corresponding_institution_ids":["https://openalex.org/I154093214"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.4431,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.64827323,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"70","issue":"4","first_page":"3917","last_page":"3946"},"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/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9969000220298767,"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/T12047","display_name":"Viral Infections and Vectors","score":0.9894999861717224,"subfield":{"id":"https://openalex.org/subfields/2725","display_name":"Infectious Diseases"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.7434160113334656},{"id":"https://openalex.org/keywords/malaria","display_name":"Malaria","score":0.6503120064735413},{"id":"https://openalex.org/keywords/basic-reproduction-number","display_name":"Basic reproduction number","score":0.6455575227737427},{"id":"https://openalex.org/keywords/transcritical-bifurcation","display_name":"Transcritical bifurcation","score":0.6203314661979675},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6171309947967529},{"id":"https://openalex.org/keywords/center-manifold","display_name":"Center manifold","score":0.5756504535675049},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5538432598114014},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.5481406450271606},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5044480562210083},{"id":"https://openalex.org/keywords/vaccination","display_name":"Vaccination","score":0.4998664855957031},{"id":"https://openalex.org/keywords/saddle-node-bifurcation","display_name":"Saddle-node bifurcation","score":0.47541123628616333},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.4663853645324707},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.39283034205436707},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3362206220626831},{"id":"https://openalex.org/keywords/immunology","display_name":"Immunology","score":0.2615137994289398},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.2285589575767517},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17924726009368896},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.17709964513778687},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1560068130493164},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.12075778841972351},{"id":"https://openalex.org/keywords/environmental-health","display_name":"Environmental health","score":0.0837823748588562}],"concepts":[{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.7434160113334656},{"id":"https://openalex.org/C2778048844","wikidata":"https://www.wikidata.org/wiki/Q12156","display_name":"Malaria","level":2,"score":0.6503120064735413},{"id":"https://openalex.org/C204264503","wikidata":"https://www.wikidata.org/wiki/Q901464","display_name":"Basic reproduction number","level":3,"score":0.6455575227737427},{"id":"https://openalex.org/C55610538","wikidata":"https://www.wikidata.org/wiki/Q1502581","display_name":"Transcritical bifurcation","level":5,"score":0.6203314661979675},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6171309947967529},{"id":"https://openalex.org/C74774103","wikidata":"https://www.wikidata.org/wiki/Q4504202","display_name":"Center manifold","level":5,"score":0.5756504535675049},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5538432598114014},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.5481406450271606},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5044480562210083},{"id":"https://openalex.org/C22070199","wikidata":"https://www.wikidata.org/wiki/Q192995","display_name":"Vaccination","level":2,"score":0.4998664855957031},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.47541123628616333},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.4663853645324707},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.39283034205436707},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3362206220626831},{"id":"https://openalex.org/C203014093","wikidata":"https://www.wikidata.org/wiki/Q101929","display_name":"Immunology","level":1,"score":0.2615137994289398},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.2285589575767517},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17924726009368896},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.17709964513778687},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1560068130493164},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.12075778841972351},{"id":"https://openalex.org/C99454951","wikidata":"https://www.wikidata.org/wiki/Q932068","display_name":"Environmental health","level":1,"score":0.0837823748588562},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","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},{"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/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/s12190-024-02124-1","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s12190-024-02124-1","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":[{"score":0.8399999737739563,"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being"}],"awards":[{"id":"https://openalex.org/G2356633413","display_name":null,"funder_award_id":"11271312, 11001235","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":18,"referenced_works":["https://openalex.org/W163591500","https://openalex.org/W1531715726","https://openalex.org/W1811989098","https://openalex.org/W1969680775","https://openalex.org/W1982295570","https://openalex.org/W2001336205","https://openalex.org/W2059305891","https://openalex.org/W2079871064","https://openalex.org/W2099441187","https://openalex.org/W2108273817","https://openalex.org/W2948871826","https://openalex.org/W2973391458","https://openalex.org/W3134688647","https://openalex.org/W3191847890","https://openalex.org/W4206374656","https://openalex.org/W4210459208","https://openalex.org/W4220691364","https://openalex.org/W4292429694"],"related_works":["https://openalex.org/W2546487931","https://openalex.org/W2803928976","https://openalex.org/W2385240050","https://openalex.org/W56905705","https://openalex.org/W640278476","https://openalex.org/W3113797113","https://openalex.org/W3097933399","https://openalex.org/W2143208590","https://openalex.org/W2331733846","https://openalex.org/W2385123893"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-01-24T23:23:39.755997","created_date":"2025-10-10T00:00:00"}