{"id":"https://openalex.org/W1757600360","doi":"https://doi.org/10.1142/s0218127415300141","title":"Spatiotemporal Dynamics of a Diffusive Leslie\u2013Gower Predator\u2013Prey Model with Ratio-Dependent Functional Response","display_name":"Spatiotemporal Dynamics of a Diffusive Leslie\u2013Gower Predator\u2013Prey Model with Ratio-Dependent Functional Response","publication_year":2015,"publication_date":"2015-05-01","ids":{"openalex":"https://openalex.org/W1757600360","doi":"https://doi.org/10.1142/s0218127415300141","mag":"1757600360"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127415300141","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127415300141","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/A5110217937","display_name":"Hong-Bo Shi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210147117","display_name":"Huaiyin Normal University","ror":"https://ror.org/03xvggv44","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210147117"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hong-Bo Shi","raw_affiliation_strings":["School of Mathematical Science, Huaiyin Normal University, Huaian, Jiangsu 223300, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Huaiyin Normal University, Huaian, Jiangsu 223300, P. R. China","institution_ids":["https://openalex.org/I4210147117"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091820514","display_name":"Shigui Ruan","orcid":"https://orcid.org/0000-0002-6348-8205"},"institutions":[{"id":"https://openalex.org/I145608581","display_name":"University of Miami","ror":"https://ror.org/02dgjyy92","country_code":"US","type":"education","lineage":["https://openalex.org/I145608581"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shigui Ruan","raw_affiliation_strings":["Department of Mathematics, University of Miami, Coral Gables, FL 33124-4250, USA","Department of Mathematics, University of Miami, Coral Gables, FL, 33124-4250, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Miami, Coral Gables, FL 33124-4250, USA","institution_ids":["https://openalex.org/I145608581"]},{"raw_affiliation_string":"Department of Mathematics, University of Miami, Coral Gables, FL, 33124-4250, USA","institution_ids":["https://openalex.org/I145608581"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103703430","display_name":"Ying Su","orcid":null},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]},{"id":"https://openalex.org/I4210161462","display_name":"Heilongjiang Institute of Technology","ror":"https://ror.org/05x0m9n95","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210161462"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ying Su","raw_affiliation_strings":["Department of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang 150001, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang 150001, P. R. China","institution_ids":["https://openalex.org/I204983213","https://openalex.org/I4210161462"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109893145","display_name":"Jia-Fang Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I173899330","display_name":"Henan University","ror":"https://ror.org/003xyzq10","country_code":"CN","type":"education","lineage":["https://openalex.org/I173899330"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jia-Fang Zhang","raw_affiliation_strings":["School of Mathematics and Information Science, Henan University, Kaifeng, Henan 475001, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Science, Henan University, Kaifeng, Henan 475001, P. R. China","institution_ids":["https://openalex.org/I173899330"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3141,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.8195971,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"25","issue":"05","first_page":"1530014","last_page":"1530014"},"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.998199999332428,"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/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9954000115394592,"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/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.765937328338623},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6279975175857544},{"id":"https://openalex.org/keywords/neumann-boundary-condition","display_name":"Neumann boundary condition","score":0.6026865243911743},{"id":"https://openalex.org/keywords/turing","display_name":"Turing","score":0.5942583084106445},{"id":"https://openalex.org/keywords/functional-response","display_name":"Functional response","score":0.5898023843765259},{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.5384426712989807},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.5143574476242065},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.48270606994628906},{"id":"https://openalex.org/keywords/biological-applications-of-bifurcation-theory","display_name":"Biological applications of bifurcation theory","score":0.48083266615867615},{"id":"https://openalex.org/keywords/pitchfork-bifurcation","display_name":"Pitchfork bifurcation","score":0.4426732063293457},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.44109901785850525},{"id":"https://openalex.org/keywords/allee-effect","display_name":"Allee effect","score":0.43414101004600525},{"id":"https://openalex.org/keywords/pattern-formation","display_name":"Pattern formation","score":0.4299353361129761},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.42457273602485657},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42258772253990173},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.3948875963687897},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3596324920654297},{"id":"https://openalex.org/keywords/predation","display_name":"Predation","score":0.2663591504096985},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17825397849082947},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.17783331871032715},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16091367602348328},{"id":"https://openalex.org/keywords/predator","display_name":"Predator","score":0.10480391979217529}],"concepts":[{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.765937328338623},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6279975175857544},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.6026865243911743},{"id":"https://openalex.org/C9870796","wikidata":"https://www.wikidata.org/wiki/Q490481","display_name":"Turing","level":2,"score":0.5942583084106445},{"id":"https://openalex.org/C110201527","wikidata":"https://www.wikidata.org/wiki/Q5508845","display_name":"Functional response","level":4,"score":0.5898023843765259},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.5384426712989807},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.5143574476242065},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.48270606994628906},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.48083266615867615},{"id":"https://openalex.org/C155092403","wikidata":"https://www.wikidata.org/wiki/Q1785924","display_name":"Pitchfork bifurcation","level":5,"score":0.4426732063293457},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.44109901785850525},{"id":"https://openalex.org/C10958125","wikidata":"https://www.wikidata.org/wiki/Q2301505","display_name":"Allee effect","level":3,"score":0.43414101004600525},{"id":"https://openalex.org/C207016750","wikidata":"https://www.wikidata.org/wiki/Q1955627","display_name":"Pattern formation","level":2,"score":0.4299353361129761},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.42457273602485657},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42258772253990173},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.3948875963687897},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3596324920654297},{"id":"https://openalex.org/C188382862","wikidata":"https://www.wikidata.org/wiki/Q170430","display_name":"Predation","level":2,"score":0.2663591504096985},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17825397849082947},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.17783331871032715},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16091367602348328},{"id":"https://openalex.org/C96857902","wikidata":"https://www.wikidata.org/wiki/Q2138108","display_name":"Predator","level":3,"score":0.10480391979217529},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","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":1,"locations":[{"id":"doi:10.1142/s0218127415300141","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127415300141","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":[{"display_name":"Life below water","id":"https://metadata.un.org/sdg/14","score":0.44999998807907104}],"awards":[],"funders":[{"id":"https://openalex.org/F4320309249","display_name":"University of Miami","ror":"https://ror.org/02dgjyy92"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W597384778","https://openalex.org/W1531715726","https://openalex.org/W1827761481","https://openalex.org/W1865693766","https://openalex.org/W1964625848","https://openalex.org/W1966222548","https://openalex.org/W1966280076","https://openalex.org/W1970489943","https://openalex.org/W1977744212","https://openalex.org/W1980661496","https://openalex.org/W1995040333","https://openalex.org/W2001451047","https://openalex.org/W2004509489","https://openalex.org/W2004728046","https://openalex.org/W2007107998","https://openalex.org/W2007274235","https://openalex.org/W2008483105","https://openalex.org/W2009354787","https://openalex.org/W2010265353","https://openalex.org/W2017335847","https://openalex.org/W2023778503","https://openalex.org/W2027665073","https://openalex.org/W2030774769","https://openalex.org/W2038105662","https://openalex.org/W2043607789","https://openalex.org/W2050900164","https://openalex.org/W2054934125","https://openalex.org/W2061393260","https://openalex.org/W2065166920","https://openalex.org/W2074603814","https://openalex.org/W2087741782","https://openalex.org/W2117450472","https://openalex.org/W2134365659","https://openalex.org/W2138634725","https://openalex.org/W2168169421","https://openalex.org/W2172222153","https://openalex.org/W2314060633","https://openalex.org/W2316531379","https://openalex.org/W2322105189","https://openalex.org/W2333100130","https://openalex.org/W2474031850","https://openalex.org/W2663723497","https://openalex.org/W2981788175","https://openalex.org/W3099251930","https://openalex.org/W4230969717","https://openalex.org/W4232610721","https://openalex.org/W4243998295","https://openalex.org/W4255777804","https://openalex.org/W4297440205","https://openalex.org/W4299993032"],"related_works":["https://openalex.org/W2954520391","https://openalex.org/W4309891670","https://openalex.org/W4367180708","https://openalex.org/W2159151868","https://openalex.org/W2087757984","https://openalex.org/W2356715721","https://openalex.org/W2032160825","https://openalex.org/W2356226573","https://openalex.org/W2546487931","https://openalex.org/W2067348621"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,29,53],"devoted":[3],"to":[4,79],"the":[5,32,48,59,63,68,81],"study":[6],"of":[7,10,50],"spatiotemporal":[8,51],"dynamics":[9],"a":[11],"diffusive":[12],"Leslie\u2013Gower":[13],"predator\u2013prey":[14],"system":[15],"with":[16],"ratio-dependent":[17],"Holling":[18],"type":[19],"III":[20],"functional":[21],"response":[22],"under":[23],"homogeneous":[24],"Neumann":[25],"boundary":[26],"conditions.":[27],"It":[28],"shown":[30],"that":[31],"model":[33],"exhibits":[34],"spatial":[35],"patterns":[36,43,52],"via":[37,44,55],"Turing":[38,64],"(diffusion-driven)":[39],"instability":[40,65],"and":[41,67],"temporal":[42],"Hopf":[45,69],"bifurcation.":[46],"Moreover,":[47],"existence":[49],"established":[54],"Turing\u2013Hopf":[56],"bifurcation":[57,70],"at":[58],"degenerate":[60],"points":[61],"where":[62],"curve":[66,71],"intersect.":[72],"Various":[73],"numerical":[74],"simulations":[75],"are":[76],"also":[77],"presented":[78],"illustrate":[80],"theoretical":[82],"results.":[83]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}