{"id":"https://openalex.org/W2277016641","doi":"https://doi.org/10.1137/15m1027991","title":"Invasion Generates Periodic Traveling Waves (Wavetrains) in Predator-Prey Models with Nonlocal Dispersal","display_name":"Invasion Generates Periodic Traveling Waves (Wavetrains) in Predator-Prey Models with Nonlocal Dispersal","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2277016641","doi":"https://doi.org/10.1137/15m1027991","mag":"2277016641"},"language":"en","primary_location":{"id":"doi:10.1137/15m1027991","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1027991","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/A5113583815","display_name":"Jonathan A. Sherratt","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jonathan A. Sherratt","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5113583815"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.6326,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.9306285,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"76","issue":"1","first_page":"293","last_page":"313"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9890999794006348,"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"}},{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9801999926567078,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/biological-dispersal","display_name":"Biological dispersal","score":0.7961861491203308},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5546848177909851},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.5460893511772156},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.4992341995239258},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4551655054092407},{"id":"https://openalex.org/keywords/traveling-wave","display_name":"Traveling wave","score":0.4471629858016968},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.4038044810295105},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3945275843143463},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3865646719932556},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.3441575765609741},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32697200775146484},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.32514187693595886},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.24331095814704895},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07904428243637085}],"concepts":[{"id":"https://openalex.org/C47559259","wikidata":"https://www.wikidata.org/wiki/Q778143","display_name":"Biological dispersal","level":3,"score":0.7961861491203308},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5546848177909851},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.5460893511772156},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.4992341995239258},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4551655054092407},{"id":"https://openalex.org/C2988173416","wikidata":"https://www.wikidata.org/wiki/Q37172","display_name":"Traveling wave","level":2,"score":0.4471629858016968},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4038044810295105},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3945275843143463},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3865646719932556},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.3441575765609741},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32697200775146484},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.32514187693595886},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.24331095814704895},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07904428243637085},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/15m1027991","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1027991","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":74,"referenced_works":["https://openalex.org/W98523065","https://openalex.org/W1520014764","https://openalex.org/W1969242831","https://openalex.org/W1971371816","https://openalex.org/W1972115738","https://openalex.org/W1972646492","https://openalex.org/W1972912722","https://openalex.org/W1974748592","https://openalex.org/W1979121198","https://openalex.org/W1979377745","https://openalex.org/W1987060946","https://openalex.org/W1987139025","https://openalex.org/W1988041861","https://openalex.org/W1990264390","https://openalex.org/W1991958898","https://openalex.org/W1993041970","https://openalex.org/W1994935767","https://openalex.org/W1995329359","https://openalex.org/W1997602286","https://openalex.org/W1997995728","https://openalex.org/W2003366965","https://openalex.org/W2005083890","https://openalex.org/W2006325866","https://openalex.org/W2006476655","https://openalex.org/W2008830097","https://openalex.org/W2021792306","https://openalex.org/W2023552471","https://openalex.org/W2027745935","https://openalex.org/W2035761495","https://openalex.org/W2038484704","https://openalex.org/W2040443526","https://openalex.org/W2044106245","https://openalex.org/W2045352055","https://openalex.org/W2046895268","https://openalex.org/W2052125279","https://openalex.org/W2052347015","https://openalex.org/W2052661438","https://openalex.org/W2053357264","https://openalex.org/W2053651386","https://openalex.org/W2055791322","https://openalex.org/W2058934155","https://openalex.org/W2059621689","https://openalex.org/W2060405661","https://openalex.org/W2062719082","https://openalex.org/W2067241657","https://openalex.org/W2075728316","https://openalex.org/W2080035449","https://openalex.org/W2080095968","https://openalex.org/W2082422013","https://openalex.org/W2086026484","https://openalex.org/W2086789695","https://openalex.org/W2089927653","https://openalex.org/W2097329397","https://openalex.org/W2097841374","https://openalex.org/W2098077506","https://openalex.org/W2113651311","https://openalex.org/W2114185825","https://openalex.org/W2115140623","https://openalex.org/W2116698208","https://openalex.org/W2120493394","https://openalex.org/W2122723930","https://openalex.org/W2124393505","https://openalex.org/W2143986719","https://openalex.org/W2147272956","https://openalex.org/W2152211412","https://openalex.org/W2154924006","https://openalex.org/W2156221932","https://openalex.org/W2156262683","https://openalex.org/W2159948892","https://openalex.org/W2167829186","https://openalex.org/W2171619855","https://openalex.org/W2327277887","https://openalex.org/W4250217442","https://openalex.org/W4254268475"],"related_works":["https://openalex.org/W2061818987","https://openalex.org/W1997022868","https://openalex.org/W2058973986","https://openalex.org/W1966006972","https://openalex.org/W4287780914","https://openalex.org/W3034862729","https://openalex.org/W3023599262","https://openalex.org/W2064520184","https://openalex.org/W4323543351","https://openalex.org/W2035426056"],"abstract_inverted_index":{"Periodic":[0],"Traveling":[1,24,82,168],"waves":[2,25,83,99,169,199],"(wavetrains)":[3],"have":[4],"been":[5,75],"studied":[6],"extensively":[7],"in":[8,28,84,108],"systems":[9,111],"of":[10,22,26,42,55,97,103,138,157,162,165,182,216,219],"reaction-diffusion":[11,71,189],"equations.":[12],"An":[13],"important":[14],"motivation":[15],"for":[16,33,115,129],"this":[17,90],"work":[18,79],"is":[19,38,51,120,127,152],"the":[20,68,92,95,101,104,117,130,136,139,158,163,166,180,183,187,192,204,217],"identification":[21],"periodic":[23,81,167],"abundance":[27],"ecological":[29],"data":[30],"sets.":[31],"However,":[32],"many":[34],"natural":[35],"populations":[36],"diffusion":[37],"a":[39,48,146,177,211],"poor":[40],"representation":[41],"movement,":[43],"and":[44,133,186,197],"spatial":[45],"convolution":[46],"with":[47,86,112,176],"dispersal":[49,62,114,118,220],"kernel":[50,119],"more":[52],"realistic":[53],"because":[54],"its":[56],"ability":[57],"to":[58,67,145,202,206,210],"reflect":[59],"rare":[60],"long-distance":[61],"events.":[63],"In":[64,89],"marked":[65],"contrast":[66],"literature":[69],"on":[70,80,160],"systems,":[72],"there":[73],"has":[74],"almost":[76],"no":[77],"previous":[78],"models":[85],"nonlocal":[87,113,184],"dispersal.":[88],"paper":[91,174],"author":[93],"considers":[94],"generation":[96],"such":[98],"by":[100,171],"invasion":[102],"unstable":[105,198],"coexistence":[106],"state":[107],"cyclic":[109],"predator-prey":[110],"which":[116],"thin-tailed":[121],"(exponentially":[122],"bounded).":[123],"The":[124,173],"main":[125],"result":[126,151],"formulae":[128],"wave":[131],"period":[132],"amplitude":[134],"when":[135],"parameters":[137,161],"local":[140],"population":[141],"dynamics":[142],"are":[143,200],"close":[144,209],"Hopf":[147,212],"bifurcation":[148,213],"point.":[149],"This":[150],"tested":[153],"via":[154],"detailed":[155],"comparison":[156,178],"dependence":[159],"stability":[164],"generated":[170],"invasion.":[172],"concludes":[175],"between":[179],"predictions":[181],"model":[185],"corresponding":[188],"model.":[190],"Specifically,":[191],"parameter":[193],"regions":[194],"giving":[195],"stable":[196],"shown":[201],"be":[203],"same":[205],"leading":[207],"order":[208],"point,":[214],"irrespective":[215],"choice":[218],"kernel.":[221]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-07T14:57:38.498316","created_date":"2025-10-10T00:00:00"}