{"id":"https://openalex.org/W2574310857","doi":"https://doi.org/10.1080/00207160.2017.1283411","title":"Mathematical analysis of the dynamical transmission of Neisseria meningitidis serogroup A","display_name":"Mathematical analysis of the dynamical transmission of Neisseria meningitidis serogroup A","publication_year":2017,"publication_date":"2017-01-20","ids":{"openalex":"https://openalex.org/W2574310857","doi":"https://doi.org/10.1080/00207160.2017.1283411","mag":"2574310857"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2017.1283411","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2017.1283411","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5006229900","display_name":"G. Djatcha Yaleu","orcid":"https://orcid.org/0009-0000-7303-3071"},"institutions":[{"id":"https://openalex.org/I4210130305","display_name":"Institut Universitaire de la C\u00f4te","ror":"https://ror.org/03e7f5c12","country_code":"CM","type":"education","lineage":["https://openalex.org/I4210130305"]},{"id":"https://openalex.org/I4210153851","display_name":"Unit\u00e9 de Mod\u00e9lisation Math\u00e9matique et Informatique des Syst\u00e8mes Complexes","ror":"https://ror.org/053kxkj53","country_code":"FR","type":"facility","lineage":["https://openalex.org/I2802818602","https://openalex.org/I39804081","https://openalex.org/I4210090127","https://openalex.org/I4210131494","https://openalex.org/I4210153851","https://openalex.org/I4210166444"]},{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques Blaise Pascal","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]},{"id":"https://openalex.org/I4210166444","display_name":"Institut de Recherche pour le D\u00e9veloppement","ror":"https://ror.org/05q3vnk25","country_code":"FR","type":"government","lineage":["https://openalex.org/I2802818602","https://openalex.org/I4210090127","https://openalex.org/I4210131494","https://openalex.org/I4210166444"]},{"id":"https://openalex.org/I59196294","display_name":"University of Ngaound\u00e9r\u00e9","ror":"https://ror.org/03gq1d339","country_code":"CM","type":"education","lineage":["https://openalex.org/I59196294"]}],"countries":["CM","FR"],"is_corresponding":false,"raw_author_name":"G. Djatcha Yaleu","raw_affiliation_strings":["Department of Mathematics and Computer Science, Faculty of Science, University of Ngaoundere, Ngaoundere, Cameroon","Laboratoire de Math\u00e9matiques appliqu\u00e9es, Projet Recherche Innovation Entreprenariat, Institut Universitaire de la C\u00f4te, Douala, Cameroun","UMI 209 IRD &amp; UPMC UMMISCO, Bondy, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Faculty of Science, University of Ngaoundere, Ngaoundere, Cameroon","institution_ids":["https://openalex.org/I59196294"]},{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques appliqu\u00e9es, Projet Recherche Innovation Entreprenariat, Institut Universitaire de la C\u00f4te, Douala, Cameroun","institution_ids":["https://openalex.org/I4210130305","https://openalex.org/I4210155549"]},{"raw_affiliation_string":"UMI 209 IRD &amp; UPMC UMMISCO, Bondy, France","institution_ids":["https://openalex.org/I4210153851","https://openalex.org/I4210166444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109995776","display_name":"Samuel Bowong","orcid":null},"institutions":[{"id":"https://openalex.org/I1331070479","display_name":"Universit\u00e9 de Yaound\u00e9 I","ror":"https://ror.org/022zbs961","country_code":"CM","type":"education","lineage":["https://openalex.org/I1331070479"]},{"id":"https://openalex.org/I163423212","display_name":"University of Douala","ror":"https://ror.org/02zr5jr81","country_code":"CM","type":"education","lineage":["https://openalex.org/I163423212"]},{"id":"https://openalex.org/I4210153851","display_name":"Unit\u00e9 de Mod\u00e9lisation Math\u00e9matique et Informatique des Syst\u00e8mes Complexes","ror":"https://ror.org/053kxkj53","country_code":"FR","type":"facility","lineage":["https://openalex.org/I2802818602","https://openalex.org/I39804081","https://openalex.org/I4210090127","https://openalex.org/I4210131494","https://openalex.org/I4210153851","https://openalex.org/I4210166444"]},{"id":"https://openalex.org/I4210166444","display_name":"Institut de Recherche pour le D\u00e9veloppement","ror":"https://ror.org/05q3vnk25","country_code":"FR","type":"government","lineage":["https://openalex.org/I2802818602","https://openalex.org/I4210090127","https://openalex.org/I4210131494","https://openalex.org/I4210166444"]}],"countries":["CM","FR"],"is_corresponding":true,"raw_author_name":"S. Bowong","raw_affiliation_strings":["LIRIMA, Project Team GRIMCAPE, Yaounde, Cameroon","Laboratory of Mathematics, Department of Mathematics and Computer Science, Faculty of Science, University of Douala, Douala, Cameroon","The African Center of Excellence in Information and Communication Technologies (CETIC), University of Yaounde, Yaounde, Cameroon","UMI 209 IRD &amp; UPMC UMMISCO, Bondy, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIRIMA, Project Team GRIMCAPE, Yaounde, Cameroon","institution_ids":[]},{"raw_affiliation_string":"Laboratory of Mathematics, Department of Mathematics and Computer Science, Faculty of Science, University of Douala, Douala, Cameroon","institution_ids":["https://openalex.org/I163423212"]},{"raw_affiliation_string":"The African Center of Excellence in Information and Communication Technologies (CETIC), University of Yaounde, Yaounde, Cameroon","institution_ids":["https://openalex.org/I1331070479"]},{"raw_affiliation_string":"UMI 209 IRD &amp; UPMC UMMISCO, Bondy, France","institution_ids":["https://openalex.org/I4210153851","https://openalex.org/I4210166444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029271205","display_name":"Eriphili Danga","orcid":null},"institutions":[{"id":"https://openalex.org/I59196294","display_name":"University of Ngaound\u00e9r\u00e9","ror":"https://ror.org/03gq1d339","country_code":"CM","type":"education","lineage":["https://openalex.org/I59196294"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"E. Houpa Danga","raw_affiliation_strings":["Department of Mathematics and Computer Science, Faculty of Science, University of Ngaoundere, Ngaoundere, Cameroon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Faculty of Science, University of Ngaoundere, Ngaoundere, Cameroon","institution_ids":["https://openalex.org/I59196294"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085207296","display_name":"J\u00fcrgen Kurths","orcid":"https://orcid.org/0000-0002-5926-4276"},"institutions":[{"id":"https://openalex.org/I39343248","display_name":"Humboldt-Universit\u00e4t zu Berlin","ror":"https://ror.org/01hcx6992","country_code":"DE","type":"education","lineage":["https://openalex.org/I39343248"]},{"id":"https://openalex.org/I60200437","display_name":"Potsdam Institute for Climate Impact Research","ror":"https://ror.org/03e8s1d88","country_code":"DE","type":"facility","lineage":["https://openalex.org/I315704651","https://openalex.org/I60200437"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"J. Kurths","raw_affiliation_strings":["Department of Physics, Humboldt Universitat zu Berlin, Berlin, Germany","Postdam Institute for Climate Impact Research (PIK), Potsdam, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Humboldt Universitat zu Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I39343248"]},{"raw_affiliation_string":"Postdam Institute for Climate Impact Research (PIK), Potsdam, Germany","institution_ids":["https://openalex.org/I60200437"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":9,"corresponding_author_ids":["https://openalex.org/A5109995776"],"corresponding_institution_ids":["https://openalex.org/I1331070479","https://openalex.org/I163423212","https://openalex.org/I4210153851","https://openalex.org/I4210166444"],"apc_list":null,"apc_paid":null,"fwci":0.1647,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.46660906,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"94","issue":"12","first_page":"2409","last_page":"2434"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10873","display_name":"Bacterial Infections and Vaccines","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2404","display_name":"Microbiology"},"field":{"id":"https://openalex.org/fields/24","display_name":"Immunology and Microbiology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10873","display_name":"Bacterial Infections and Vaccines","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2404","display_name":"Microbiology"},"field":{"id":"https://openalex.org/fields/24","display_name":"Immunology and Microbiology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9961000084877014,"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":0.9922999739646912,"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/basic-reproduction-number","display_name":"Basic reproduction number","score":0.7198362350463867},{"id":"https://openalex.org/keywords/neisseria-meningitidis","display_name":"Neisseria meningitidis","score":0.6934733390808105},{"id":"https://openalex.org/keywords/epidemic-model","display_name":"Epidemic model","score":0.6346379518508911},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5829522609710693},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.5386627912521362},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5344001650810242},{"id":"https://openalex.org/keywords/vaccination","display_name":"Vaccination","score":0.4899877607822418},{"id":"https://openalex.org/keywords/vaccine-efficacy","display_name":"Vaccine efficacy","score":0.4882252514362335},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4795258045196533},{"id":"https://openalex.org/keywords/extinction","display_name":"Extinction (optical mineralogy)","score":0.42857086658477783},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34253138303756714},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.287026047706604},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2807188332080841},{"id":"https://openalex.org/keywords/virology","display_name":"Virology","score":0.22012612223625183},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.13823539018630981}],"concepts":[{"id":"https://openalex.org/C204264503","wikidata":"https://www.wikidata.org/wiki/Q901464","display_name":"Basic reproduction number","level":3,"score":0.7198362350463867},{"id":"https://openalex.org/C2778458888","wikidata":"https://www.wikidata.org/wiki/Q154625","display_name":"Neisseria meningitidis","level":3,"score":0.6934733390808105},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.6346379518508911},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5829522609710693},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.5386627912521362},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5344001650810242},{"id":"https://openalex.org/C22070199","wikidata":"https://www.wikidata.org/wiki/Q192995","display_name":"Vaccination","level":2,"score":0.4899877607822418},{"id":"https://openalex.org/C2780441014","wikidata":"https://www.wikidata.org/wiki/Q7907952","display_name":"Vaccine efficacy","level":3,"score":0.4882252514362335},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4795258045196533},{"id":"https://openalex.org/C101991246","wikidata":"https://www.wikidata.org/wiki/Q5422078","display_name":"Extinction (optical mineralogy)","level":2,"score":0.42857086658477783},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34253138303756714},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.287026047706604},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2807188332080841},{"id":"https://openalex.org/C159047783","wikidata":"https://www.wikidata.org/wiki/Q7215","display_name":"Virology","level":1,"score":0.22012612223625183},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.13823539018630981},{"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C99454951","wikidata":"https://www.wikidata.org/wiki/Q932068","display_name":"Environmental health","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C523546767","wikidata":"https://www.wikidata.org/wiki/Q10876","display_name":"Bacteria","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2017.1283411","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2017.1283411","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3","score":0.8399999737739563}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W640023950","https://openalex.org/W1511286968","https://openalex.org/W1966207826","https://openalex.org/W1971003918","https://openalex.org/W1972907783","https://openalex.org/W1989011168","https://openalex.org/W2020319074","https://openalex.org/W2023847825","https://openalex.org/W2039334331","https://openalex.org/W2041749618","https://openalex.org/W2042381353","https://openalex.org/W2079758803","https://openalex.org/W2085451305","https://openalex.org/W2092509730","https://openalex.org/W2094014274","https://openalex.org/W2095682761","https://openalex.org/W2100149488","https://openalex.org/W2102798763","https://openalex.org/W2110049699","https://openalex.org/W2110854216","https://openalex.org/W2112680994","https://openalex.org/W2139304620","https://openalex.org/W2142009630","https://openalex.org/W2151994136","https://openalex.org/W2152803686","https://openalex.org/W2161728228","https://openalex.org/W2162153165","https://openalex.org/W2162396363","https://openalex.org/W2162979019","https://openalex.org/W4213264637","https://openalex.org/W4295016751"],"related_works":["https://openalex.org/W2962891488","https://openalex.org/W4320351350","https://openalex.org/W2230721379","https://openalex.org/W2376250553","https://openalex.org/W3138234900","https://openalex.org/W2356839139","https://openalex.org/W1505484396","https://openalex.org/W4388177052","https://openalex.org/W3113377908","https://openalex.org/W2032448025"],"abstract_inverted_index":{"We":[0,45,53,76,119],"formulate":[1],"a":[2,17,47,90,116,132,154,157,169,172],"deterministic":[3],"mathematical":[4],"model":[5,20,108,181],"for":[6],"the":[7,22,32,36,51,55,61,68,71,74,98,107,110,122,145,148,166,180,189],"dynamical":[8],"transmission":[9],"of":[10,28,38,50,73,112,124,147,150,156,161,168,175,179,191],"Neisseria":[11],"meningitidis":[12],"serogroup":[13],"A":[14],"(NmA)":[15],"within":[16,131],"community.":[18,133],"The":[19,134],"incorporates":[21],"key":[23],"epidemiological":[24],"and":[25,35,41,59,70,79,165],"biological":[26],"features":[27],"NmA":[29,151],"such":[30,94],"as":[31],"vaccine":[33,170],"efficacy":[34],"waning":[37,129],"both":[39],"vaccine-induced":[40],"recovery-induced":[42],"immunity":[43,130],".":[44],"provide":[46],"theoretical":[48],"study":[49,80],"model.":[52],"compute":[54,77],"disease-free":[56],"equilibrium":[57],"(DFE)":[58],"derive":[60],"basic":[62],"reproduction":[63],"number":[64],"R0":[65],"that":[66,87,95,144],"determines":[67],"extinction":[69],"persistence":[72],"disease.":[75],"equilibria":[78],"their":[81],"stability.":[82],"More":[83],"precisely,":[84],"we":[85],"show":[86],"there":[88],"exists":[89],"threshold":[91],"parameter":[92],"\u03be":[93],"when":[96,105],"R0\u2264\u03be<1,":[97],"DFE":[99],"is":[100,136],"globally":[101],"asymptotically":[102],"stable":[103],"while":[104],"\u03be\u2264R0<1,":[106],"exhibits":[109],"phenomenon":[111],"backward":[113],"bifurcation":[114],"on":[115,194],"feasible":[117],"region.":[118],"also":[120],"investigate":[121],"impact":[123,190],"imperfect":[125],"mass":[126],"vaccination":[127,160],"with":[128,171],"theory":[135],"supported":[137],"by":[138],"numerical":[139],"simulations,":[140],"which":[141],"further":[142],"suggest":[143],"control":[146],"epidemic":[149],"pass":[152],"through":[153],"combination":[155],"large":[158],"coverage":[159],"young":[162],"susceptible":[163],"individuals":[164],"production":[167],"high":[173],"level":[174],"efficacy.":[176],"Sensitivity":[177],"analysis":[178],"has":[182],"been":[183],"performed":[184],"in":[185],"order":[186],"to":[187],"determine":[188],"related":[192],"parameters":[193],"meningitis":[195],"outbreak.":[196]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-08-27T14:10:00.468798","created_date":"2025-10-10T00:00:00"}