{"id":"https://openalex.org/W7127169690","doi":"https://doi.org/10.1016/j.cnsns.2026.109814","title":"Vanishing, balancing and spreading for an impulsive faecal-oral model","display_name":"Vanishing, balancing and spreading for an impulsive faecal-oral model","publication_year":2026,"publication_date":"2026-02-03","ids":{"openalex":"https://openalex.org/W7127169690","doi":"https://doi.org/10.1016/j.cnsns.2026.109814"},"language":"en","primary_location":{"id":"doi:10.1016/j.cnsns.2026.109814","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2026.109814","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","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/A5124823062","display_name":"Qi Zhou","orcid":null},"institutions":[{"id":"https://openalex.org/I78978612","display_name":"Yangzhou University","ror":"https://ror.org/03tqb8s11","country_code":"CN","type":"education","lineage":["https://openalex.org/I78978612"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qi Zhou","raw_affiliation_strings":["School of Mathematical Science, Yangzhou University, Yangzhou, 225002, China"],"raw_orcid":"https://orcid.org/0000-0001-6256-8871","affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Yangzhou University, Yangzhou, 225002, China","institution_ids":["https://openalex.org/I78978612"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5124278046","display_name":"Zhigui Lin","orcid":null},"institutions":[{"id":"https://openalex.org/I78978612","display_name":"Yangzhou University","ror":"https://ror.org/03tqb8s11","country_code":"CN","type":"education","lineage":["https://openalex.org/I78978612"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhigui Lin","raw_affiliation_strings":["School of Mathematical Science, Yangzhou University, Yangzhou, 225002, China"],"raw_orcid":"https://orcid.org/0000-0001-8301-5678","affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Yangzhou University, Yangzhou, 225002, China","institution_ids":["https://openalex.org/I78978612"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037676914","display_name":"Carlos Alberto Santos","orcid":"https://orcid.org/0000-0001-6157-5201"},"institutions":[{"id":"https://openalex.org/I150729083","display_name":"Universidade de Bras\u00edlia","ror":"https://ror.org/02xfp8v59","country_code":"BR","type":"education","lineage":["https://openalex.org/I150729083"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Carlos Alberto Santos","raw_affiliation_strings":["Department of Mathematics, University of Brasilia, Brasilia, DF, BR-70910900, Brazil"],"raw_orcid":"https://orcid.org/0000-0001-6157-5201","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Brasilia, Brasilia, DF, BR-70910900, Brazil","institution_ids":["https://openalex.org/I150729083"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5124278046"],"corresponding_institution_ids":["https://openalex.org/I78978612"],"apc_list":{"value":3460,"currency":"USD","value_usd":3460},"apc_paid":null,"fwci":11.562,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.95389684,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"158","issue":null,"first_page":"109814","last_page":"109814"},"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":0.4431000053882599,"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":0.4431000053882599,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.42899999022483826,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.016499999910593033,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/stefan-problem","display_name":"Stefan problem","score":0.6129000186920166},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5514000058174133},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5044000148773193},{"id":"https://openalex.org/keywords/contraction","display_name":"Contraction (grammar)","score":0.47540000081062317},{"id":"https://openalex.org/keywords/time-stepping","display_name":"Time stepping","score":0.4375},{"id":"https://openalex.org/keywords/contraction-mapping","display_name":"Contraction mapping","score":0.31459999084472656}],"concepts":[{"id":"https://openalex.org/C2778021227","wikidata":"https://www.wikidata.org/wiki/Q3775789","display_name":"Stefan problem","level":3,"score":0.6129000186920166},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5514000058174133},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.527999997138977},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5044000148773193},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.47540000081062317},{"id":"https://openalex.org/C3019693144","wikidata":"https://www.wikidata.org/wiki/Q541182","display_name":"Time stepping","level":3,"score":0.4375},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4228000044822693},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35519999265670776},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35359999537467957},{"id":"https://openalex.org/C55524764","wikidata":"https://www.wikidata.org/wiki/Q515173","display_name":"Contraction mapping","level":3,"score":0.31459999084472656},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.3124000132083893},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.29679998755455017},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.29159998893737793},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.28780001401901245},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.28700000047683716},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.27309998869895935},{"id":"https://openalex.org/C154416045","wikidata":"https://www.wikidata.org/wiki/Q5500196","display_name":"Free boundary problem","level":3,"score":0.25450000166893005}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.cnsns.2026.109814","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2026.109814","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5192224383354187,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G1012511075","display_name":null,"funder_award_id":"00193.00001133/2021-80","funder_id":"https://openalex.org/F4320323350","funder_display_name":"Funda\u00e7\u00e3o de Apoio \u00e0 Pesquisa do Distrito Federal"},{"id":"https://openalex.org/G4488348269","display_name":null,"funder_award_id":"KYCX24_3711","funder_id":"https://openalex.org/F4320335769","funder_display_name":"Graduate Research and Innovation Projects of Jiangsu Province"},{"id":"https://openalex.org/G5811581522","display_name":null,"funder_award_id":"12271470","funder_id":"https://openalex.org/F4320335577","funder_display_name":"Major Research Plan"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"},{"id":"https://openalex.org/F4320323350","display_name":"Funda\u00e7\u00e3o de Apoio \u00e0 Pesquisa do Distrito Federal","ror":"https://ror.org/04djvx395"},{"id":"https://openalex.org/F4320335577","display_name":"Major Research Plan","ror":null},{"id":"https://openalex.org/F4320335769","display_name":"Graduate Research and Innovation Projects of Jiangsu Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1972101865","https://openalex.org/W1989823852","https://openalex.org/W2001704480","https://openalex.org/W2045910852","https://openalex.org/W2049610843","https://openalex.org/W2074042765","https://openalex.org/W2077180391","https://openalex.org/W2097505962","https://openalex.org/W2135166551","https://openalex.org/W2326660287","https://openalex.org/W2738072709","https://openalex.org/W2941062007","https://openalex.org/W2962822548","https://openalex.org/W2963089269","https://openalex.org/W2963240865","https://openalex.org/W2963788516","https://openalex.org/W2963798891","https://openalex.org/W2964237327","https://openalex.org/W2964719712","https://openalex.org/W3008996097","https://openalex.org/W3208259249","https://openalex.org/W4210272793","https://openalex.org/W4393212354","https://openalex.org/W4394884307","https://openalex.org/W4405031040","https://openalex.org/W4407970260","https://openalex.org/W4408512990"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-07-17T09:13:05.818461","created_date":"2026-02-03T00:00:00"}