{"id":"https://openalex.org/W2027605396","doi":"https://doi.org/10.1137/s0036139997320858","title":"Dependencies Between Competition and Predation---and Their Consequences for Initial Value Sensitivity","display_name":"Dependencies Between Competition and Predation---and Their Consequences for Initial Value Sensitivity","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W2027605396","doi":"https://doi.org/10.1137/s0036139997320858","mag":"2027605396"},"language":"en","primary_location":{"id":"doi:10.1137/s0036139997320858","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139997320858","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/A5014047464","display_name":"Torsten Lindstr\u00f6m","orcid":"https://orcid.org/0000-0002-7261-0399"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Torsten Lindstr\u00f6m","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5014047464"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1342,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.80016565,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"59","issue":"4","first_page":"1468","last_page":"1486"},"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":0.9962999820709229,"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":0.9962999820709229,"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/T11913","display_name":"Animal Ecology and Behavior Studies","score":0.9876000285148621,"subfield":{"id":"https://openalex.org/subfields/2303","display_name":"Ecology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9851999878883362,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6894783973693848},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.6692092418670654},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5904000997543335},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5875232219696045},{"id":"https://openalex.org/keywords/limiting","display_name":"Limiting","score":0.5098027586936951},{"id":"https://openalex.org/keywords/competition-model","display_name":"Competition model","score":0.4781856834888458},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.46679431200027466},{"id":"https://openalex.org/keywords/competition","display_name":"Competition (biology)","score":0.4433523416519165},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4285563826560974},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.42304688692092896},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.4123360514640808},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.33209818601608276},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22485795617103577},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.12568718194961548},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12493205070495605},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.11741703748703003},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.10223245620727539},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10141143202781677}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6894783973693848},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.6692092418670654},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5904000997543335},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5875232219696045},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.5098027586936951},{"id":"https://openalex.org/C2777963317","wikidata":"https://www.wikidata.org/wiki/Q5156331","display_name":"Competition model","level":3,"score":0.4781856834888458},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.46679431200027466},{"id":"https://openalex.org/C91306197","wikidata":"https://www.wikidata.org/wiki/Q45767","display_name":"Competition (biology)","level":2,"score":0.4433523416519165},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4285563826560974},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.42304688692092896},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.4123360514640808},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.33209818601608276},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22485795617103577},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.12568718194961548},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12493205070495605},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.11741703748703003},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.10223245620727539},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10141143202781677},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C181622380","wikidata":"https://www.wikidata.org/wiki/Q26911","display_name":"Profit (economics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0036139997320858","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139997320858","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8","score":0.4300000071525574}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W113243835","https://openalex.org/W1495343258","https://openalex.org/W1967501923","https://openalex.org/W1967829443","https://openalex.org/W1969027200","https://openalex.org/W1971637251","https://openalex.org/W1979029705","https://openalex.org/W1988037432","https://openalex.org/W1988167521","https://openalex.org/W1994606684","https://openalex.org/W2000131424","https://openalex.org/W2008372054","https://openalex.org/W2016975098","https://openalex.org/W2035058341","https://openalex.org/W2041263000","https://openalex.org/W2041357136","https://openalex.org/W2047000841","https://openalex.org/W2047831247","https://openalex.org/W2056362696","https://openalex.org/W2056942998","https://openalex.org/W2057710766","https://openalex.org/W2076390157","https://openalex.org/W2081432959","https://openalex.org/W2081527029","https://openalex.org/W2086272729","https://openalex.org/W2087705949","https://openalex.org/W2089876099","https://openalex.org/W2095314390","https://openalex.org/W2100891518","https://openalex.org/W2105973197","https://openalex.org/W2334902385","https://openalex.org/W2477244626","https://openalex.org/W2518215293","https://openalex.org/W2992308460","https://openalex.org/W3176826459","https://openalex.org/W4233622913","https://openalex.org/W4245694012","https://openalex.org/W4250359885","https://openalex.org/W4250382023","https://openalex.org/W4299993032","https://openalex.org/W4300223101"],"related_works":["https://openalex.org/W1979229270","https://openalex.org/W2374600121","https://openalex.org/W125502673","https://openalex.org/W2384948345","https://openalex.org/W2027784897","https://openalex.org/W2368364854","https://openalex.org/W2776265842","https://openalex.org/W2725952545","https://openalex.org/W1979419366","https://openalex.org/W1985881040"],"abstract_inverted_index":{"We":[0],"commence":[1],"with":[2,61,143],"a":[3,120,136],"discussion":[4],"of":[5,29,41,56,68,81,94,97,122],"dependencies":[6,31],"between":[7],"various":[8],"processes":[9],"in":[10,27],"discrete":[11],"consumer-resource":[12],"models.":[13,101],"Two":[14],"basic":[15,100],"models":[16,20,35,70],"are":[17,21,32,71],"formulated.":[18],"These":[19],"closely":[22,72],"related":[23,73],"and":[24,48,110,150],"differ":[25],"only":[26],"terms":[28],"which":[30],"assumed.":[33],"The":[34,78,129],"can":[36],"be":[37,115],"regarded":[38],"as":[39],"hybrids":[40],"the":[42,45,49,57,62,65,90,95,98,111,144,156],"Lotka--Volterra":[43],"model,":[44,47],"Beverton--Holt":[46],"Nicholson--Bailey":[50],"model.":[51],"A":[52],"complete":[53],"stability":[54,66],"analysis":[55,83],"equilibria":[58],"is":[59],"given":[60],"conclusion":[63],"that":[64],"properties":[67],"these":[69,133],"to":[74,117],"Gause-type":[75],"predator-prey":[76],"systems.":[77],"numerical":[79],"part":[80],"our":[82],"brings":[84],"out":[85],"remarkable":[86],"qualitative":[87],"differences":[88,113],"concerning":[89],"initial":[91],"value":[92,103],"sensitivity":[93,104],"oscillations":[96],"two":[99],"Initial":[102],"was":[105],"measured":[106],"by":[107,119,126],"Lyapunov":[108],"exponents":[109],"observed":[112],"cannot":[114],"brought":[116],"light":[118],"study":[121],"limiting":[123],"cases":[124],"or":[125],"equilibrium":[127],"analysis.":[128],"actual":[130],"reasons":[131],"behind":[132],"results":[134],"remain":[135],"delicate":[137],"mathematical":[138],"question.":[139],"Properties":[140],"associated":[141],"directly":[142],"time":[145],"series,":[146],"like":[147],"mean":[148],"amplitudes":[149],"dominating":[151],"periods,":[152],"did":[153],"not":[154],"show":[155],"same":[157],"differences.":[158]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
