{"id":"https://openalex.org/W2026763021","doi":"https://doi.org/10.1137/s0036141099346779","title":"Coexistence with Chemotaxis","display_name":"Coexistence with Chemotaxis","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2026763021","doi":"https://doi.org/10.1137/s0036141099346779","mag":"2026763021"},"language":"en","primary_location":{"id":"doi:10.1137/s0036141099346779","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036141099346779","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","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/A5029911328","display_name":"Dung Le","orcid":"https://orcid.org/0000-0003-3063-1498"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Le Dung","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5029911328"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8489,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.87939698,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"32","issue":"3","first_page":"504","last_page":"521"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":1.0,"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":1.0,"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9767000079154968,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"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"}},{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9732999801635742,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8361654281616211},{"id":"https://openalex.org/keywords/chemotaxis","display_name":"Chemotaxis","score":0.7900131344795227},{"id":"https://openalex.org/keywords/fixed-point-index","display_name":"Fixed-point index","score":0.6755006313323975},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5887826681137085},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.41416028141975403},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3772767186164856},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.12940675020217896},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.06338426470756531},{"id":"https://openalex.org/keywords/receptor","display_name":"Receptor","score":0.050489187240600586}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8361654281616211},{"id":"https://openalex.org/C54166955","wikidata":"https://www.wikidata.org/wiki/Q658145","display_name":"Chemotaxis","level":3,"score":0.7900131344795227},{"id":"https://openalex.org/C2780668686","wikidata":"https://www.wikidata.org/wiki/Q5456324","display_name":"Fixed-point index","level":3,"score":0.6755006313323975},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5887826681137085},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.41416028141975403},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3772767186164856},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.12940675020217896},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.06338426470756531},{"id":"https://openalex.org/C170493617","wikidata":"https://www.wikidata.org/wiki/Q208467","display_name":"Receptor","level":2,"score":0.050489187240600586},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0036141099346779","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036141099346779","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1964513612","https://openalex.org/W1980812171","https://openalex.org/W1983248089","https://openalex.org/W1991114582","https://openalex.org/W1994880182","https://openalex.org/W2019816716","https://openalex.org/W2021091972","https://openalex.org/W2042892258","https://openalex.org/W2046724040","https://openalex.org/W2051764784","https://openalex.org/W2075830100","https://openalex.org/W2082896012","https://openalex.org/W2085865016","https://openalex.org/W2088946408","https://openalex.org/W2093988760","https://openalex.org/W2094247338","https://openalex.org/W2096356504","https://openalex.org/W4232082450","https://openalex.org/W4246744041"],"related_works":["https://openalex.org/W1596865785","https://openalex.org/W2090103360","https://openalex.org/W3112410612","https://openalex.org/W188610292","https://openalex.org/W2044492775","https://openalex.org/W4283327398","https://openalex.org/W2348032837","https://openalex.org/W4308983985","https://openalex.org/W2468671888","https://openalex.org/W2121037917"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2],"existence":[3],"of":[4,11],"positive":[5],"solutions":[6],"to":[7,29],"a":[8,17],"coupled":[9],"system":[10],"elliptic":[12],"equations":[13],"modeling":[14],"competition":[15],"in":[16],"bio-reactor":[18],"with":[19],"chemotactic":[20],"response.":[21],"A":[22],"fixed":[23],"point":[24],"index":[25],"technique":[26],"is":[27],"used":[28],"derive":[30],"sufficient":[31],"conditions":[32],"for":[33],"coexistence":[34],"solutions.":[35]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
