{"id":"https://openalex.org/W4388869053","doi":"https://doi.org/10.1007/s12190-023-01933-0","title":"Age-dependent immunity effect in a cholera model with double transmission modes: Hopf bifurcation analysis","display_name":"Age-dependent immunity effect in a cholera model with double transmission modes: Hopf bifurcation analysis","publication_year":2023,"publication_date":"2023-11-21","ids":{"openalex":"https://openalex.org/W4388869053","doi":"https://doi.org/10.1007/s12190-023-01933-0"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-023-01933-0","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s12190-023-01933-0","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/A5029039847","display_name":"Xin Jiang","orcid":"https://orcid.org/0000-0003-4762-3101"},"institutions":[{"id":"https://openalex.org/I1456306","display_name":"North China University of Technology","ror":"https://ror.org/01nky7652","country_code":"CN","type":"education","lineage":["https://openalex.org/I1456306"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xin Jiang","raw_affiliation_strings":["College of Science, North China University of Technology, Beijing, 100144, People\u2019s Republic of China","College of Science, North China University of Technology, Beijing, 100144, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Science, North China University of Technology, Beijing, 100144, People\u2019s Republic of China","institution_ids":["https://openalex.org/I1456306"]},{"raw_affiliation_string":"College of Science, North China University of Technology, Beijing, 100144, People's Republic of China","institution_ids":["https://openalex.org/I1456306"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064243689","display_name":"Ran Zhang","orcid":"https://orcid.org/0000-0002-8870-5958"},"institutions":[{"id":"https://openalex.org/I55022517","display_name":"Heilongjiang University","ror":"https://ror.org/04zyhq975","country_code":"CN","type":"education","lineage":["https://openalex.org/I55022517"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ran Zhang","raw_affiliation_strings":["School of Mathematical Science, Heilongjiang University, Harbin, 150080, People\u2019s Republic of China","School of Mathematical Science, Heilongjiang University, Harbin, 150080, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Heilongjiang University, Harbin, 150080, People\u2019s Republic of China","institution_ids":["https://openalex.org/I55022517"]},{"raw_affiliation_string":"School of Mathematical Science, Heilongjiang University, Harbin, 150080, People's Republic of China","institution_ids":["https://openalex.org/I55022517"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5064243689"],"corresponding_institution_ids":["https://openalex.org/I55022517"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.2949,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.64489495,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"69","issue":"6","first_page":"4381","last_page":"4399"},"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":0.9927999973297119,"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":0.9574999809265137,"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/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.7589318752288818},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7249164581298828},{"id":"https://openalex.org/keywords/basic-reproduction-number","display_name":"Basic reproduction number","score":0.5033006072044373},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5027632713317871},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.4937056005001068},{"id":"https://openalex.org/keywords/cholera","display_name":"Cholera","score":0.4612594544887543},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4586716592311859},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.44369176030158997},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.42475005984306335},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3781222105026245},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11094895005226135},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11075186729431152},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.08573943376541138},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.07548993825912476},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.07307660579681396}],"concepts":[{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.7589318752288818},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7249164581298828},{"id":"https://openalex.org/C204264503","wikidata":"https://www.wikidata.org/wiki/Q901464","display_name":"Basic reproduction number","level":3,"score":0.5033006072044373},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5027632713317871},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.4937056005001068},{"id":"https://openalex.org/C2780722889","wikidata":"https://www.wikidata.org/wiki/Q12090","display_name":"Cholera","level":2,"score":0.4612594544887543},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4586716592311859},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.44369176030158997},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.42475005984306335},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3781222105026245},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11094895005226135},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11075186729431152},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.08573943376541138},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.07548993825912476},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.07307660579681396},{"id":"https://openalex.org/C89423630","wikidata":"https://www.wikidata.org/wiki/Q7193","display_name":"Microbiology","level":1,"score":0.0},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","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/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-023-01933-0","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s12190-023-01933-0","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":[{"id":"https://metadata.un.org/sdg/3","score":0.6700000166893005,"display_name":"Good health and well-being"}],"awards":[{"id":"https://openalex.org/G335770145","display_name":null,"funder_award_id":"12101309","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":28,"referenced_works":["https://openalex.org/W578603601","https://openalex.org/W1988160370","https://openalex.org/W2003841579","https://openalex.org/W2011163777","https://openalex.org/W2028378134","https://openalex.org/W2046211696","https://openalex.org/W2050311615","https://openalex.org/W2080271178","https://openalex.org/W2084439805","https://openalex.org/W2101758302","https://openalex.org/W2135987246","https://openalex.org/W2167181463","https://openalex.org/W2317360997","https://openalex.org/W2398694920","https://openalex.org/W2575276781","https://openalex.org/W2759761894","https://openalex.org/W2896908448","https://openalex.org/W2967747686","https://openalex.org/W2999690744","https://openalex.org/W3003336593","https://openalex.org/W3093215768","https://openalex.org/W3155677441","https://openalex.org/W3202199622","https://openalex.org/W4200389663","https://openalex.org/W4286423705","https://openalex.org/W4310191505","https://openalex.org/W4377194496","https://openalex.org/W6838709189"],"related_works":["https://openalex.org/W2467352100","https://openalex.org/W2211117792","https://openalex.org/W2406951685","https://openalex.org/W4320026464","https://openalex.org/W4211176329","https://openalex.org/W2102754910","https://openalex.org/W2048014358","https://openalex.org/W4211099692","https://openalex.org/W2111499050","https://openalex.org/W4389317103"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-01-20T17:24:06.736184","created_date":"2025-10-10T00:00:00"}
