{"id":"https://openalex.org/W4283741397","doi":"https://doi.org/10.1142/s021812742230018x","title":"Different Mechanisms of Pattern Formation in a Plankton Model with Cross-Diffusion and Fitness","display_name":"Different Mechanisms of Pattern Formation in a Plankton Model with Cross-Diffusion and Fitness","publication_year":2022,"publication_date":"2022-06-30","ids":{"openalex":"https://openalex.org/W4283741397","doi":"https://doi.org/10.1142/s021812742230018x"},"language":"en","primary_location":{"id":"doi:10.1142/s021812742230018x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812742230018x","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"International Journal of Bifurcation and Chaos","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/A5046007451","display_name":"Wen Wang","orcid":"https://orcid.org/0000-0001-8808-5384"},"institutions":[{"id":"https://openalex.org/I59028903","display_name":"Ocean University of China","ror":"https://ror.org/04rdtx186","country_code":"CN","type":"education","lineage":["https://openalex.org/I59028903"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wen Wang","raw_affiliation_strings":["School of Mathematical Sciences, Ocean University of China, Qingdao 266100, P. R. China"],"raw_orcid":"https://orcid.org/0000-0001-8808-5384","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Ocean University of China, Qingdao 266100, P. R. China","institution_ids":["https://openalex.org/I59028903"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078199283","display_name":"Shutang Liu","orcid":"https://orcid.org/0000-0003-2281-9378"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shutang Liu","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jinan 250061, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Shandong University, Jinan 250061, P. R. China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100692736","display_name":"Zhibin Liu","orcid":"https://orcid.org/0000-0003-4317-6930"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhibin Liu","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jinan 250061, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Shandong University, Jinan 250061, P. R. China","institution_ids":["https://openalex.org/I154099455"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5046007451"],"corresponding_institution_ids":["https://openalex.org/I59028903"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11150912,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"32","issue":"08","first_page":null,"last_page":null},"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":0.9991999864578247,"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":0.9991999864578247,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.992900013923645,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/superposition-principle","display_name":"Superposition principle","score":0.8069330453872681},{"id":"https://openalex.org/keywords/pattern-formation","display_name":"Pattern formation","score":0.7274430990219116},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.696537971496582},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.6894030570983887},{"id":"https://openalex.org/keywords/advection","display_name":"Advection","score":0.615947961807251},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.6116438508033752},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5977690815925598},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.5676087141036987},{"id":"https://openalex.org/keywords/spatiotemporal-pattern","display_name":"Spatiotemporal pattern","score":0.481513112783432},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4783617854118347},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4568401873111725},{"id":"https://openalex.org/keywords/steady-state","display_name":"Steady state (chemistry)","score":0.4442228674888611},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.4365781843662262},{"id":"https://openalex.org/keywords/non-equilibrium-thermodynamics","display_name":"Non-equilibrium thermodynamics","score":0.42824694514274597},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.40976619720458984},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.39491745829582214},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31199854612350464},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3009979724884033},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24548399448394775},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.10302817821502686}],"concepts":[{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.8069330453872681},{"id":"https://openalex.org/C207016750","wikidata":"https://www.wikidata.org/wiki/Q1955627","display_name":"Pattern formation","level":2,"score":0.7274430990219116},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.696537971496582},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6894030570983887},{"id":"https://openalex.org/C5072599","wikidata":"https://www.wikidata.org/wiki/Q379788","display_name":"Advection","level":2,"score":0.615947961807251},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.6116438508033752},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5977690815925598},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.5676087141036987},{"id":"https://openalex.org/C2779108282","wikidata":"https://www.wikidata.org/wiki/Q22908968","display_name":"Spatiotemporal pattern","level":2,"score":0.481513112783432},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4783617854118347},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4568401873111725},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.4442228674888611},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.4365781843662262},{"id":"https://openalex.org/C74859849","wikidata":"https://www.wikidata.org/wiki/Q2466686","display_name":"Non-equilibrium thermodynamics","level":2,"score":0.42824694514274597},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.40976619720458984},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.39491745829582214},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31199854612350464},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3009979724884033},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24548399448394775},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.10302817821502686},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s021812742230018x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812742230018x","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/14","score":0.7699999809265137,"display_name":"Life below water"}],"awards":[{"id":"https://openalex.org/G8527570804","display_name":null,"funder_award_id":"ZR2021QF116","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"}],"funders":[{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1969616779","https://openalex.org/W1970529802","https://openalex.org/W1973118029","https://openalex.org/W1974301594","https://openalex.org/W1991279350","https://openalex.org/W1991325491","https://openalex.org/W1992267419","https://openalex.org/W1995736384","https://openalex.org/W2009354787","https://openalex.org/W2038105662","https://openalex.org/W2043838333","https://openalex.org/W2052368913","https://openalex.org/W2086126894","https://openalex.org/W2102265921","https://openalex.org/W2152971002","https://openalex.org/W2195992720","https://openalex.org/W2326444488","https://openalex.org/W2437127566","https://openalex.org/W2515040453","https://openalex.org/W2584783058","https://openalex.org/W2593478941","https://openalex.org/W2614541020","https://openalex.org/W2799487647","https://openalex.org/W2801148966","https://openalex.org/W2942232661","https://openalex.org/W2970256545","https://openalex.org/W2981202912","https://openalex.org/W3038527888","https://openalex.org/W3048170924","https://openalex.org/W3105209110","https://openalex.org/W3133482283","https://openalex.org/W3137761481","https://openalex.org/W3138919399","https://openalex.org/W3210117713","https://openalex.org/W4210492522"],"related_works":["https://openalex.org/W2064651143","https://openalex.org/W2062865744","https://openalex.org/W2132847744","https://openalex.org/W1966972589","https://openalex.org/W2070397002","https://openalex.org/W2073089361","https://openalex.org/W4327740401","https://openalex.org/W2210238746","https://openalex.org/W2059217168","https://openalex.org/W2089784332"],"abstract_inverted_index":{"Pattern":[0],"formation":[1,41],"is":[2,72],"a":[3,47,65],"ubiquitous":[4],"phenomenon":[5],"encountered":[6],"in":[7,64],"various":[8],"nonequilibrium":[9],"physical,":[10],"chemical":[11],"and":[12,89,129,135],"biological":[13],"systems.":[14],"The":[15],"resulting":[16],"spatiotemporal":[17,58],"patterns":[18,112,132],"as":[19,21],"well":[20],"their":[22],"characteristics":[23],"are":[24,120,124,138],"often":[25],"determined":[26],"by":[27,61,126],"the":[28,38,75,83,93,109],"type":[29,110],"of":[30,50,111],"instability.":[31],"However,":[32],"when":[33],"different":[34,62],"instabilities":[35],"occur":[36],"simultaneously,":[37],"generated":[39],"pattern":[40],"cannot":[42],"be":[43,46],"expected":[44],"to":[45,79,101,107,115],"simple":[48],"superposition":[49],"patterns.":[51],"To":[52],"address":[53],"this":[54],"issue,":[55],"we":[56,96],"study":[57],"dynamics":[59],"driven":[60,88],"mechanisms":[63],"reaction\u2013advection\u2013diffusion":[66],"plankton":[67],"model.":[68],"Linear":[69],"stability":[70],"analysis":[71,100],"performed":[73],"upon":[74],"uniform":[76],"steady":[77],"state":[78],"identify":[80],"conditions":[81],"for":[82],"predator\u2013prey":[84],"interaction":[85],"driven,":[86],"taxis-diffusion":[87],"cross-diffusion-driven":[90,94],"instabilities.":[91],"For":[92],"instability,":[95],"employ":[97],"weakly":[98],"nonlinear":[99],"derive":[102],"amplitude":[103],"equations,":[104],"which":[105],"helps":[106],"predict":[108],"turning":[113],"out":[114],"emerge":[116],"with":[117],"parameters":[118],"that":[119],"varying.":[121],"Theoretical":[122],"results":[123],"verified":[125],"numerical":[127],"simulations,":[128],"some":[130],"interesting":[131],"including":[133],"spiral":[134],"target":[136],"waves":[137],"also":[139],"numerically":[140],"observed.":[141]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
