{"id":"https://openalex.org/W2964307665","doi":"https://doi.org/10.3934/nhm.2018003","title":"Stationary solutions and asymptotic behaviour for a chemotaxis hyperbolic model on a network","display_name":"Stationary solutions and asymptotic behaviour for a chemotaxis hyperbolic model on a network","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2964307665","doi":"https://doi.org/10.3934/nhm.2018003","mag":"2964307665"},"language":"en","primary_location":{"id":"doi:10.3934/nhm.2018003","is_oa":true,"landing_page_url":"https://doi.org/10.3934/nhm.2018003","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=1bc682f1-3312-4347-9769-8393d7a04f9c","source":{"id":"https://openalex.org/S21752972","display_name":"Networks and Heterogeneous Media","issn_l":"1556-1801","issn":["1556-1801","1556-181X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks & Heterogeneous Media","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.aimsciences.org/article/exportPdf?id=1bc682f1-3312-4347-9769-8393d7a04f9c","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048966565","display_name":"F.R. Guarguaglini","orcid":"https://orcid.org/0000-0002-4587-2860"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Francesca R. Guarguaglini","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":",Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica, Universit\u00e1 degli Studi di L'Aquila, Via Vetoio, I-67100 Coppito (L'Aquila), Italy","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":",Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica, Universit\u00e1 degli Studi di L'Aquila, Via Vetoio, I-67100 Coppito (L'Aquila), Italy","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5048966565"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5396,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.6587398,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"13","issue":"1","first_page":"47","last_page":"67"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9998000264167786,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9879000186920166,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13234","display_name":"advanced mathematical theories","score":0.9833999872207642,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/uniqueness","display_name":"Uniqueness","score":0.8665445446968079},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5554330945014954},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.545500636100769},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5178861618041992},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.49761608242988586},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.4558372497558594},{"id":"https://openalex.org/keywords/hyperbolic-partial-differential-equation","display_name":"Hyperbolic partial differential equation","score":0.4538804292678833},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.44525063037872314},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.2566574811935425},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24800202250480652},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19307857751846313}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.8665445446968079},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5554330945014954},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.545500636100769},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5178861618041992},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49761608242988586},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.4558372497558594},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.4538804292678833},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.44525063037872314},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.2566574811935425},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24800202250480652},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19307857751846313},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3934/nhm.2018003","is_oa":true,"landing_page_url":"https://doi.org/10.3934/nhm.2018003","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=1bc682f1-3312-4347-9769-8393d7a04f9c","source":{"id":"https://openalex.org/S21752972","display_name":"Networks and Heterogeneous Media","issn_l":"1556-1801","issn":["1556-1801","1556-181X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks & Heterogeneous Media","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:09450013bda14bdbbfb85759c324a621","is_oa":false,"landing_page_url":"https://doaj.org/article/09450013bda14bdbbfb85759c324a621","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Networks and Heterogeneous Media, Vol 13, Iss 1, Pp 47-67 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3934/nhm.2018003","is_oa":true,"landing_page_url":"https://doi.org/10.3934/nhm.2018003","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=1bc682f1-3312-4347-9769-8393d7a04f9c","source":{"id":"https://openalex.org/S21752972","display_name":"Networks and Heterogeneous Media","issn_l":"1556-1801","issn":["1556-1801","1556-181X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks & Heterogeneous Media","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2964307665.pdf","grobid_xml":"https://content.openalex.org/works/W2964307665.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W4301247218","https://openalex.org/W2129818458","https://openalex.org/W4243074410","https://openalex.org/W4289551052","https://openalex.org/W4390756076","https://openalex.org/W2367569662"],"abstract_inverted_index":{"This":[0],"paper":[1],"approaches":[2],"the":[3,18,21,54,65],"question":[4],"of":[5,9,20,24,45,64],"existence":[6],"and":[7,17,47],"uniqueness":[8],"stationary":[10],"solutions":[11],"to":[12],"a":[13,30,38,42],"semilinear":[14],"hyperbolic-parabolic":[15],"system":[16,28],"study":[19],"asymptotic":[22],"behaviour":[23],"global":[25],"solutions.":[26],"The":[27,50],"is":[29],"model":[31],"for":[32,53],"some":[33],"biological":[34],"phenomena":[35],"evolving":[36],"on":[37],"network":[39],"composed":[40],"by":[41],"finite":[43],"number":[44],"nodes":[46],"oriented":[48],"arcs.":[49],"transmission":[51],"conditions":[52],"unknowns,":[55],"set":[56],"at":[57],"each":[58],"inner":[59],"node,":[60],"are":[61],"crucial":[62],"features":[63],"model.":[66]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}