{"id":"https://openalex.org/W2167678976","doi":"https://doi.org/10.1155/2014/324767","title":"Mathematical Analysis of a Cholera Model with Vaccination","display_name":"Mathematical Analysis of a Cholera Model with Vaccination","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2167678976","doi":"https://doi.org/10.1155/2014/324767","mag":"2167678976"},"language":"lv","primary_location":{"id":"doi:10.1155/2014/324767","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/324767","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/324767.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2014/324767.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043397753","display_name":"Jin\u01f5an Cui","orcid":"https://orcid.org/0000-0002-7809-4268"},"institutions":[{"id":"https://openalex.org/I62853816","display_name":"Beijing University of Civil Engineering and Architecture","ror":"https://ror.org/02yj0p855","country_code":"CN","type":"education","lineage":["https://openalex.org/I62853816"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jing'an Cui","raw_affiliation_strings":["School of Science, Beijing University of Civil Engineering and Architecture, Beijing 100044, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Beijing University of Civil Engineering and Architecture, Beijing 100044, China","institution_ids":["https://openalex.org/I62853816"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017217874","display_name":"Zhanmin Wu","orcid":"https://orcid.org/0000-0003-4396-9148"},"institutions":[{"id":"https://openalex.org/I62853816","display_name":"Beijing University of Civil Engineering and Architecture","ror":"https://ror.org/02yj0p855","country_code":"CN","type":"education","lineage":["https://openalex.org/I62853816"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhanmin Wu","raw_affiliation_strings":["School of Science, Beijing University of Civil Engineering and Architecture, Beijing 100044, China"],"raw_orcid":"https://orcid.org/0000-0003-4396-9148","affiliations":[{"raw_affiliation_string":"School of Science, Beijing University of Civil Engineering and Architecture, Beijing 100044, China","institution_ids":["https://openalex.org/I62853816"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066275065","display_name":"Xueyong Zhou","orcid":"https://orcid.org/0000-0002-7485-053X"},"institutions":[{"id":"https://openalex.org/I130750295","display_name":"Xinyang Normal University","ror":"https://ror.org/0190x2a66","country_code":"CN","type":"education","lineage":["https://openalex.org/I130750295"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xueyong Zhou","raw_affiliation_strings":["College of Mathematics and Information Science, Xinyang Normal University, Xinyang, Henan 464000, China"],"raw_orcid":"https://orcid.org/0000-0002-7485-053X","affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Xinyang Normal University, Xinyang, Henan 464000, China","institution_ids":["https://openalex.org/I130750295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5043397753"],"corresponding_institution_ids":["https://openalex.org/I62853816"],"apc_list":{"value":1130,"currency":"USD","value_usd":1130},"apc_paid":{"value":1130,"currency":"USD","value_usd":1130},"fwci":1.5865,"has_fulltext":true,"cited_by_count":31,"citation_normalized_percentile":{"value":0.85055926,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"16"},"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":0.9951000213623047,"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":0.9937999844551086,"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/algorithm","display_name":"Algorithm","score":0.5785837173461914},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39789339900016785},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.33598142862319946}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5785837173461914},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39789339900016785},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33598142862319946}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2014/324767","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/324767","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/324767.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1425305529","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1425305529","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:324767","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/324767.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:df7b1b419ca64cddb7c094a1f1ac97d7","is_oa":true,"landing_page_url":"https://doaj.org/article/df7b1b419ca64cddb7c094a1f1ac97d7","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/324767","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/324767","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/324767.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3","score":0.550000011920929}],"awards":[{"id":"https://openalex.org/G3713949630","display_name":"\u6c14\u5019\u53d8\u6696\u5f71\u54cd\u4e0b\u5bb3\u866b\u79cd\u7fa4\u6a21\u578b\u53ca\u7814\u7a76","funder_award_id":"11071011","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4585486828","display_name":null,"funder_award_id":"PHR201107123","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5467335321","display_name":null,"funder_award_id":"132300410025","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5885933165","display_name":null,"funder_award_id":"1323000410364","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"},{"id":"https://openalex.org/F4320336038","display_name":"Funding Project for Academic Human Resources Development in Institutions of Higher Learning under the Jurisdiction of Beijing Municipality","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2167678976.pdf","grobid_xml":"https://content.openalex.org/works/W2167678976.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1777062577","https://openalex.org/W1965567178","https://openalex.org/W1971205687","https://openalex.org/W1980640538","https://openalex.org/W1986751706","https://openalex.org/W1991038590","https://openalex.org/W1994606684","https://openalex.org/W2011420535","https://openalex.org/W2017974002","https://openalex.org/W2042371484","https://openalex.org/W2044163391","https://openalex.org/W2055605553","https://openalex.org/W2062913930","https://openalex.org/W2063571559","https://openalex.org/W2077438717","https://openalex.org/W2081513602","https://openalex.org/W2084318376","https://openalex.org/W2086008032","https://openalex.org/W2097190874","https://openalex.org/W2101758302","https://openalex.org/W2112680994","https://openalex.org/W2120665631","https://openalex.org/W2124230626","https://openalex.org/W2125307802","https://openalex.org/W2142452012","https://openalex.org/W2161728228","https://openalex.org/W2164485511","https://openalex.org/W2167887891","https://openalex.org/W2250081972","https://openalex.org/W2494397142","https://openalex.org/W4250211480"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2350741829","https://openalex.org/W2530322880"],"abstract_inverted_index":{"We":[0,28,108],"consider":[1],"a":[2,19],"SVR-B":[3],"cholera":[4],"model":[5],"with":[6],"imperfect":[7,132],"vaccination.":[8],"By":[9,69],"analyzing":[10],"the":[11,15,30,35,53,58,61,67,83,87,99,116,142],"corresponding":[12],"characteristic":[13],"equations,":[14],"local":[16],"stability":[17,56],"of":[18,57,71,112],"disease-free":[20,59],"equilibrium":[21,25,90],"and":[22,86,104,128],"an":[23,131],"endemic":[24,89],"is":[26,74,91,96,134],"established.":[27],"calculate":[29],"certain":[31],"threshold":[32],"known":[33],"as":[34],"control":[36],"reproduction":[37],"number":[38],"\u211b":[39,43,78,113],"v":[40,44,79,114],".":[41],"If":[42],"<":[45],"1":[46,81],",":[47,82],"we":[48],"obtain":[49],"sufficient":[50],"conditions":[51],"for":[52],"global":[54],"asymptotic":[55],"equilibrium;":[60],"diseases":[62],"will":[63],"be":[64],"eliminated":[65],"from":[66],"community.":[68,143],"comparison":[70],"arguments,":[72],"it":[73],"proved":[75],"that":[76,130],"if":[77],">":[80],"disease":[84,126,139],"persists":[85],"unique":[88],"globally":[92],"asymptotically":[93],"stable,":[94],"which":[95],"obtained":[97],"by":[98],"second":[100],"compound":[101],"matrix":[102],"techniques":[103],"autonomous":[105],"convergence":[106],"theorems.":[107],"perform":[109],"sensitivity":[110],"analysis":[111],"on":[115],"parameters":[117],"in":[118,137],"order":[119],"to":[120,125],"determine":[121],"their":[122],"relative":[123],"importance":[124],"transmission":[127],"show":[129],"vaccine":[133],"always":[135],"beneficial":[136],"reducing":[138],"spread":[140],"within":[141]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}