{"id":"https://openalex.org/W2013201954","doi":"https://doi.org/10.1142/s021820259500053x","title":"EXISTENCE, UNIQUENESS AND ASYMPTOTIC BEHAVIOUR FOR A MULTI-STAGE EVOLUTION PROBLEM OF AN AGE-STRUCTURED POPULATION","display_name":"EXISTENCE, UNIQUENESS AND ASYMPTOTIC BEHAVIOUR FOR A MULTI-STAGE EVOLUTION PROBLEM OF AN AGE-STRUCTURED POPULATION","publication_year":1995,"publication_date":"1995-12-01","ids":{"openalex":"https://openalex.org/W2013201954","doi":"https://doi.org/10.1142/s021820259500053x","mag":"2013201954"},"language":"en","primary_location":{"id":"doi:10.1142/s021820259500053x","doi":"https://doi.org/10.1142/s021820259500053x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021820259500053x","pdf_url":null,"source":{"id":"https://openalex.org/S24332595","display_name":"Mathematical Models and Methods in Applied Sciences","issn_l":"0218-2025","issn":["0218-2025","1793-4060","1793-6314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Models and Methods in Applied Sciences","raw_type":"journal-article"},"volume":null,"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/A5072090494","display_name":"Serena Matucci","orcid":"https://orcid.org/0000-0002-1510-6188","observed_orcids":["https://orcid.org/0000-0002-1510-6188"]},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"S. MATUCCI","raw_affiliation_strings":["Dipartimento di Matematica \u201cU. Dini\u201d, Universit\u00e0 di Firenze, Viale Morgagni 67/A, I-50134 Firenze, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica \u201cU. Dini\u201d, Universit\u00e0 di Firenze, Viale Morgagni 67/A, I-50134 Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5072090494"],"corresponding_institution_ids":["https://openalex.org/I45084792"],"apc_list":null,"apc_paid":null,"fwci":0.4943,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.66957214,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"05","issue":"08","first_page":"1013","last_page":"1041"},"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":0.8945000171661377,"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":0.8945000171661377,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.07519999891519547,"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"}},{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.021800000220537186,"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/age-structured-populations","display_name":"age-structured populations","score":0.9340000152587891},{"id":"https://openalex.org/keywords/existence-and-uniqueness-of-solutions","display_name":"existence and uniqueness of solutions","score":0.7950000166893005},{"id":"https://openalex.org/keywords/asymptotic-behavior","display_name":"asymptotic behavior","score":0.7170000076293945},{"id":"https://openalex.org/keywords/spectrum-of-operators","display_name":"operator spectrum","score":0.6790000200271606},{"id":"https://openalex.org/keywords/population-dynamics","display_name":"population dynamics","score":0.3540000021457672}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8311271071434021},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7366670966148376},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.6009524464607239},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5853305459022522},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5570688843727112},{"id":"https://openalex.org/C52079815","wikidata":"https://www.wikidata.org/wiki/Q7229808","display_name":"Population model","level":3,"score":0.5276844501495361},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.49253877997398376},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.47097042202949524},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.46906089782714844},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.45382651686668396},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41411423683166504},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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:10.1142/s021820259500053x","doi":"https://doi.org/10.1142/s021820259500053x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021820259500053x","pdf_url":null,"source":{"id":"https://openalex.org/S24332595","display_name":"Mathematical Models and Methods in Applied Sciences","issn_l":"0218-2025","issn":["0218-2025","1793-4060","1793-6314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Models and Methods in Applied Sciences","raw_type":"journal-article"},{"id":"pmh:oai:flore.unifi.it:2158/779134","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/2158/779134","pdf_url":null,"source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2361954739","https://openalex.org/W3175761307","https://openalex.org/W2384012525","https://openalex.org/W3093032973","https://openalex.org/W4404111671","https://openalex.org/W7118798231","https://openalex.org/W4401235105","https://openalex.org/W2999703520","https://openalex.org/W2185702763","https://openalex.org/W7099111771"],"abstract_inverted_index":{"The":[0,59,72],"theory":[1],"of":[2,4,20,23,29,32,34,41,44,75,78,96,107,115],"semigroups":[3],"bounded":[5],"linear":[6,64,69],"operators":[7],"in":[8,38],"L1-like":[9],"Banach":[10],"spaces":[11],"is":[12,118],"employed":[13],"to":[14,84,88],"show":[15],"the":[16,27,76,79,85,92,97,108,112,116],"existence":[17],"and":[18,52,65],"uniqueness":[19],"a":[21,30,35,105],"triple":[22],"non-negative":[24],"functions":[25],"representing":[26],"solution":[28,117],"model":[31],"evolution":[33],"population":[36],"distributed":[37],"three":[39],"stages":[40],"individuals,":[42],"each":[43],"them":[45],"being":[46],"dependent":[47],"on":[48,56],"his":[49],"own":[50],"age":[51],"one":[53],"stage":[54],"also":[55],"mother":[57],"age.":[58],"differential":[60],"equations":[61],"involved":[62],"are":[63,66],"coupled":[67],"through":[68],"boundary":[70],"conditions.":[71],"detailed":[73],"study":[74],"spectrum":[77],"linear,":[80],"closed":[81],"operator":[82],"related":[83],"system":[86],"allows":[87],"obtain":[89],"estimates":[90],"for":[91],"asymptotic":[93],"time":[94],"behaviour":[95],"solution;":[98],"these":[99],"results":[100],"may":[101],"be":[102],"considered":[103],"as":[104],"generalization":[106],"Sharpe-Lotka":[109],"theorem.":[110],"Finally,":[111],"analytical":[113],"structure":[114],"given.":[119]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2016-06-24T00:00:00"}
