{"id":"https://openalex.org/W4409521899","doi":"https://doi.org/10.1137/23m1558112","title":"Vaccinating According to the Maximal Endemic Equilibrium Achieves Herd Immunity","display_name":"Vaccinating According to the Maximal Endemic Equilibrium Achieves Herd Immunity","publication_year":2025,"publication_date":"2025-04-17","ids":{"openalex":"https://openalex.org/W4409521899","doi":"https://doi.org/10.1137/23m1558112"},"language":"en","primary_location":{"id":"doi:10.1137/23m1558112","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1558112","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied 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/A5032935739","display_name":"Jean\u2010Fran\u00e7ois Delmas","orcid":"https://orcid.org/0000-0002-9628-4380"},"institutions":[{"id":"https://openalex.org/I142631665","display_name":"\u00c9cole nationale des ponts et chauss\u00e9es","ror":"https://ror.org/02nwvxz07","country_code":"FR","type":"education","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210128309","display_name":"CERMICS","ror":"https://ror.org/03wct8w46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210128309","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jean-Fran\u00e7ois Delmas","raw_affiliation_strings":["CERMICS, \u00c9cole nationale des ponts et chauss\u00e9es, 77455 Marne-la-Vall\u00e9e, France"],"raw_orcid":"https://orcid.org/0000-0002-9628-4380","affiliations":[{"raw_affiliation_string":"CERMICS, \u00c9cole nationale des ponts et chauss\u00e9es, 77455 Marne-la-Vall\u00e9e, France","institution_ids":["https://openalex.org/I142631665","https://openalex.org/I4210128309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090414344","display_name":"Dylan Dronnier","orcid":"https://orcid.org/0000-0001-8785-142X"},"institutions":[{"id":"https://openalex.org/I142631665","display_name":"\u00c9cole nationale des ponts et chauss\u00e9es","ror":"https://ror.org/02nwvxz07","country_code":"FR","type":"education","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210128309","display_name":"CERMICS","ror":"https://ror.org/03wct8w46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210128309","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Dylan Dronnier","raw_affiliation_strings":["CERMICS, \u00c9cole nationale des ponts et chauss\u00e9es, 77455 Marne-la-Vall\u00e9e, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CERMICS, \u00c9cole nationale des ponts et chauss\u00e9es, 77455 Marne-la-Vall\u00e9e, France","institution_ids":["https://openalex.org/I142631665","https://openalex.org/I4210128309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080786449","display_name":"Pierre-Andr\u00e9 Zitt","orcid":"https://orcid.org/0000-0003-2834-3147"},"institutions":[{"id":"https://openalex.org/I4210144844","display_name":"Laboratoire d\u2019Analyse et de Math\u00e9matiques Appliqu\u00e9es","ror":"https://ror.org/0581g8849","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I197681013","https://openalex.org/I4210141950","https://openalex.org/I4210144844","https://openalex.org/I4210154111"]},{"id":"https://openalex.org/I4210154111","display_name":"Universit\u00e9 Gustave Eiffel","ror":"https://ror.org/03x42jk29","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210154111"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pierre-Andr\u00e9 Zitt","raw_affiliation_strings":["LAMA, Universit\u00e9 Gustave Eiffel, 77420 Champs-sur-Marne, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LAMA, Universit\u00e9 Gustave Eiffel, 77420 Champs-sur-Marne, France","institution_ids":["https://openalex.org/I4210144844","https://openalex.org/I4210154111"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5032935739"],"corresponding_institution_ids":["https://openalex.org/I142631665","https://openalex.org/I4210128309"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11106855,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"85","issue":"2","first_page":"806","last_page":"820"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10340","display_name":"Hepatitis B Virus Studies","score":0.991100013256073,"subfield":{"id":"https://openalex.org/subfields/2713","display_name":"Epidemiology"},"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/T10340","display_name":"Hepatitis B Virus Studies","score":0.991100013256073,"subfield":{"id":"https://openalex.org/subfields/2713","display_name":"Epidemiology"},"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/T10167","display_name":"Influenza Virus Research Studies","score":0.9835000038146973,"subfield":{"id":"https://openalex.org/subfields/2713","display_name":"Epidemiology"},"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/T11135","display_name":"Virology and Viral Diseases","score":0.982200026512146,"subfield":{"id":"https://openalex.org/subfields/2713","display_name":"Epidemiology"},"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/herd-immunity","display_name":"Herd immunity","score":0.7365867495536804},{"id":"https://openalex.org/keywords/herd","display_name":"Herd","score":0.5324225425720215},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4975164234638214},{"id":"https://openalex.org/keywords/immunity","display_name":"Immunity","score":0.48040512204170227},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4439869523048401},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40014147758483887},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3539241552352905},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.3188483417034149},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.22007879614830017},{"id":"https://openalex.org/keywords/virology","display_name":"Virology","score":0.2041560411453247},{"id":"https://openalex.org/keywords/vaccination","display_name":"Vaccination","score":0.167400062084198},{"id":"https://openalex.org/keywords/immunology","display_name":"Immunology","score":0.14265605807304382},{"id":"https://openalex.org/keywords/immune-system","display_name":"Immune system","score":0.10265085101127625}],"concepts":[{"id":"https://openalex.org/C106192422","wikidata":"https://www.wikidata.org/wiki/Q736798","display_name":"Herd immunity","level":3,"score":0.7365867495536804},{"id":"https://openalex.org/C194775826","wikidata":"https://www.wikidata.org/wiki/Q209542","display_name":"Herd","level":2,"score":0.5324225425720215},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4975164234638214},{"id":"https://openalex.org/C2779341262","wikidata":"https://www.wikidata.org/wiki/Q182581","display_name":"Immunity","level":3,"score":0.48040512204170227},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4439869523048401},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40014147758483887},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3539241552352905},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.3188483417034149},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.22007879614830017},{"id":"https://openalex.org/C159047783","wikidata":"https://www.wikidata.org/wiki/Q7215","display_name":"Virology","level":1,"score":0.2041560411453247},{"id":"https://openalex.org/C22070199","wikidata":"https://www.wikidata.org/wiki/Q192995","display_name":"Vaccination","level":2,"score":0.167400062084198},{"id":"https://openalex.org/C203014093","wikidata":"https://www.wikidata.org/wiki/Q101929","display_name":"Immunology","level":1,"score":0.14265605807304382},{"id":"https://openalex.org/C8891405","wikidata":"https://www.wikidata.org/wiki/Q1059","display_name":"Immune system","level":2,"score":0.10265085101127625}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/23m1558112","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1558112","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04506465v1","is_oa":false,"landing_page_url":"https://cnrs.hal.science/hal-04506465","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2024","raw_type":"Preprints, Working Papers, ..."}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7599999904632568,"id":"https://metadata.un.org/sdg/2","display_name":"Zero hunger"}],"awards":[{"id":"https://openalex.org/G6690928797","display_name":null,"funder_award_id":"ANR-10-LABX-58","funder_id":"https://openalex.org/F4320326989","funder_display_name":"Labex B\u00e9zout"}],"funders":[{"id":"https://openalex.org/F4320326989","display_name":"Labex B\u00e9zout","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W603362135","https://openalex.org/W1575154287","https://openalex.org/W1670184224","https://openalex.org/W2009729247","https://openalex.org/W2010365240","https://openalex.org/W2041572706","https://openalex.org/W2052690594","https://openalex.org/W2130878567","https://openalex.org/W2161499589","https://openalex.org/W2161944342","https://openalex.org/W3036932834","https://openalex.org/W3152375670","https://openalex.org/W4206675231","https://openalex.org/W4225982896","https://openalex.org/W4391381018","https://openalex.org/W4392706212","https://openalex.org/W4401958783","https://openalex.org/W4402301437"],"related_works":["https://openalex.org/W4224320170","https://openalex.org/W4232091153","https://openalex.org/W2359024484","https://openalex.org/W3202418693","https://openalex.org/W3035425994","https://openalex.org/W2987775131","https://openalex.org/W3023442822","https://openalex.org/W3023461739","https://openalex.org/W4287780871","https://openalex.org/W4223594088"],"abstract_inverted_index":{"arXiv":[0],"admin":[1],"note:":[2],"substantial":[3],"text":[4],"overlap":[5],"with":[6],"arXiv:2103.10330":[7]},"counts_by_year":[],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}