{"id":"https://openalex.org/W2371926085","doi":null,"title":"The Global Bifurcation for a Predator-Prey Model with Nonlinear Diffusion","display_name":"The Global Bifurcation for a Predator-Prey Model with Nonlinear Diffusion","publication_year":2012,"publication_date":"2012-03-25","ids":{"openalex":"https://openalex.org/W2371926085","mag":"2371926085"},"language":"en","primary_location":{"id":"mag:2371926085","doi":null,"is_oa":false,"landing_page_url":"https://en.cnki.com.cn/Article_en/CJFDTOTAL-ZSDZ201202011.htm","pdf_url":null,"source":{"id":"https://openalex.org/S4306500507","display_name":"Acta Scientiarum Naturalium Universitatis Sunyatseni","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Acta Scientiarum Naturalium Universitatis Sunyatseni","raw_type":null},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"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/A5101637889","display_name":"Gaihui Guo","orcid":"https://orcid.org/0000-0003-4444-0051","observed_orcids":["https://orcid.org/0000-0003-4444-0051","https://orcid.org/0000-0003-2142-2328"]},"institutions":[{"id":"https://openalex.org/I4210093146","display_name":"Shaanxi Railway Institute","ror":"https://ror.org/00gznmy49","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210093146"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gaihui Guo","raw_affiliation_strings":["Shaanxi Railway Institute,Weinan 714000 China)"],"raw_orcid":"https://orcid.org/0000-0003-4444-0051","affiliations":[{"raw_affiliation_string":"Shaanxi Railway Institute,Weinan 714000 China)","institution_ids":["https://openalex.org/I4210093146"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080700434","display_name":"Bingfang Li","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210093146","display_name":"Shaanxi Railway Institute","ror":"https://ror.org/00gznmy49","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210093146"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bingfang Li","raw_affiliation_strings":["Shaanxi Railway Institute,Weinan 714000 China)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shaanxi Railway Institute,Weinan 714000 China)","institution_ids":["https://openalex.org/I4210093146"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210093146"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.26576294,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"51","issue":"2","first_page":"49","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":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.0019000000320374966,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.00039999998989515007,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/predator-prey-model","display_name":"predator-prey model","score":0.9639999866485596},{"id":"https://openalex.org/keywords/nonlinear-diffusion","display_name":"nonlinear diffusion","score":0.996999979019165},{"id":"https://openalex.org/keywords/global-bifurcation","display_name":"global bifurcation","score":0.9929999709129333},{"id":"https://openalex.org/keywords/positive-solutions","display_name":"positive solutions","score":0.6520000100135803},{"id":"https://openalex.org/keywords/semi-trivial-solutions","display_name":"semi-trivial solutions","score":0.8650000095367432},{"id":"https://openalex.org/keywords/a-priori-estimates","display_name":"a priori estimates","score":0.8169999718666077},{"id":"https://openalex.org/keywords/eigenvalue-problem","display_name":"eigenvalue problem","score":0.9700000286102295},{"id":"https://openalex.org/keywords/dirichlet-boundary-conditions","display_name":"Dirichlet boundary conditions","score":0.8700000047683716},{"id":"https://openalex.org/keywords/prey-growth-rate","display_name":"prey growth rate","score":0.8429999947547913}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7178146243095398},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6672560572624207},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5756471753120422},{"id":"https://openalex.org/C188382862","wikidata":"https://www.wikidata.org/wiki/Q170430","display_name":"Predation","level":2,"score":0.5332716703414917},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5289749503135681},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.4904060363769531},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.4505222737789154},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.4333336353302002},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42046666145324707},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.38531097769737244},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0953356921672821},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.05368250608444214},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2371926085","doi":null,"is_oa":false,"landing_page_url":"https://en.cnki.com.cn/Article_en/CJFDTOTAL-ZSDZ201202011.htm","pdf_url":null,"source":{"id":"https://openalex.org/S4306500507","display_name":"Acta Scientiarum Naturalium Universitatis Sunyatseni","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Acta Scientiarum Naturalium Universitatis Sunyatseni","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2385090711","https://openalex.org/W2353332601","https://openalex.org/W2370511232","https://openalex.org/W2368721467","https://openalex.org/W2375270467","https://openalex.org/W2020355963","https://openalex.org/W2356232391","https://openalex.org/W1511149428","https://openalex.org/W2359550748","https://openalex.org/W3159788256"],"abstract_inverted_index":{"A":[0],"nonlinear":[1],"diffusive":[2],"predator-prey":[3],"model":[4],"is":[5],"studied":[6],"under":[7],"Dirichlet":[8],"boundary":[9],"conditions.Some":[10],"a":[11,31],"priori":[12],"estimates":[13],"are":[14,41,56],"firstly":[15],"derived.Then":[16],"by":[17],"investigating":[18],"the":[19,25,38,51],"corresponding":[20],"eigenvalue":[21],"problem":[22],"and":[23],"taking":[24],"growth":[26],"rate":[27],"of":[28,44,53],"prey":[29],"as":[30],"parameter,local":[32],"bifurcation":[33,46],"positive":[34,54],"solutions":[35,40,55],"emanating":[36],"from":[37],"semi-trivial":[39],"obtained.Finally,by":[42],"use":[43],"global":[45],"theory,two":[47],"sufficient":[48],"conditions":[49],"for":[50],"existence":[52],"established.":[57]},"counts_by_year":[],"updated_date":"2026-09-24T07:57:37.273135","created_date":"2016-06-24T00:00:00"}