{"id":"https://openalex.org/W2804204271","doi":"https://doi.org/10.1007/s11071-018-4352-5","title":"Computational analysis on Hopf bifurcation and stability for a consumer\u2013resource model with nonlinear functional response","display_name":"Computational analysis on Hopf bifurcation and stability for a consumer\u2013resource model with nonlinear functional response","publication_year":2018,"publication_date":"2018-05-23","ids":{"openalex":"https://openalex.org/W2804204271","doi":"https://doi.org/10.1007/s11071-018-4352-5","mag":"2804204271"},"language":"en","primary_location":{"id":"doi:10.1007/s11071-018-4352-5","doi":"https://doi.org/10.1007/s11071-018-4352-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11071-018-4352-5","pdf_url":null,"source":{"id":"https://openalex.org/S138681734","display_name":"Nonlinear Dynamics","issn_l":"0924-090X","issn":["0924-090X","1573-269X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nonlinear Dynamics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5068572918","display_name":"Yunfeng Jia","orcid":"https://orcid.org/0000-0001-6988-6100","observed_orcids":["https://orcid.org/0000-0001-6988-6100"]},"institutions":[{"id":"https://openalex.org/I88830068","display_name":"Shaanxi Normal University","ror":"https://ror.org/0170z8493","country_code":"CN","type":"education","lineage":["https://openalex.org/I88830068"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yunfeng Jia","raw_affiliation_strings":["School of Mathematics and Information Science, Shaanxi Normal University, Xi\u2019an, 710062, Shaanxi, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Science, Shaanxi Normal University, Xi\u2019an, 710062, Shaanxi, China","institution_ids":["https://openalex.org/I88830068"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5068572918"],"corresponding_institution_ids":["https://openalex.org/I88830068"],"apc_list":{"value":4790,"currency":"USD","value_usd":4790},"apc_paid":null,"fwci":1.3802,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.77199274,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"94","issue":"1","first_page":"185","last_page":"195"},"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":0.9990000128746033,"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":0.9990000128746033,"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":0.0003000000142492354,"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"}},{"id":"https://openalex.org/T13377","display_name":"Ecosystem dynamics and resilience","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/consumer-resource-model","display_name":"consumer-resource model","score":0.906000018119812},{"id":"https://openalex.org/keywords/reaction-diffusion","display_name":"reaction-diffusion","score":0.7689999938011169},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.996999979019165},{"id":"https://openalex.org/keywords/turing-instability","display_name":"Turing instability","score":0.8709999918937683},{"id":"https://openalex.org/keywords/spatial-pattern-formation","display_name":"spatial patterning","score":0.6359999775886536},{"id":"https://openalex.org/keywords/bifurcation-direction","display_name":"bifurcation direction","score":0.8500000238418579},{"id":"https://openalex.org/keywords/stability-of-periodic-solutions","display_name":"stability of periodic solutions","score":0.921999990940094},{"id":"https://openalex.org/keywords/positive-equilibrium","display_name":"positive equilibrium","score":0.6449999809265137}],"concepts":[{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.788392961025238},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6382991075515747},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5557644367218018},{"id":"https://openalex.org/C110201527","wikidata":"https://www.wikidata.org/wiki/Q5508845","display_name":"Functional response","level":4,"score":0.5107207298278809},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5004091262817383},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47598543763160706},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.4670279026031494},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.46164005994796753},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.4232110381126404},{"id":"https://openalex.org/C2776353801","wikidata":"https://www.wikidata.org/wiki/Q7315960","display_name":"Response analysis","level":2,"score":0.4145238697528839},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3963978588581085},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3222849369049072},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21016046404838562},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.10821777582168579},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09401509165763855},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.08060517907142639},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.07643666863441467},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06323811411857605},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C96857902","wikidata":"https://www.wikidata.org/wiki/Q2138108","display_name":"Predator","level":3,"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/C188382862","wikidata":"https://www.wikidata.org/wiki/Q170430","display_name":"Predation","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11071-018-4352-5","doi":"https://doi.org/10.1007/s11071-018-4352-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11071-018-4352-5","pdf_url":null,"source":{"id":"https://openalex.org/S138681734","display_name":"Nonlinear Dynamics","issn_l":"0924-090X","issn":["0924-090X","1573-269X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nonlinear Dynamics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G7169471730","display_name":"\u591a\u5bc6\u5ea6\u53cd\u5e94\u6269\u6563\u6a21\u578b\u7684\u8ba1\u7b97\u673a\u8f85\u52a9\u5206\u6790\u7814\u7a76\u4e0e\u5e94\u7528","funder_award_id":"61672021","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7267836973","display_name":null,"funder_award_id":"11771262","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1862037849","https://openalex.org/W1968302182","https://openalex.org/W1970414350","https://openalex.org/W1970489943","https://openalex.org/W1973222707","https://openalex.org/W1974301594","https://openalex.org/W1987984915","https://openalex.org/W2001001640","https://openalex.org/W2011067252","https://openalex.org/W2018373403","https://openalex.org/W2022306040","https://openalex.org/W2027665073","https://openalex.org/W2029911448","https://openalex.org/W2032927158","https://openalex.org/W2035695789","https://openalex.org/W2052125279","https://openalex.org/W2058723931","https://openalex.org/W2060852353","https://openalex.org/W2074371667","https://openalex.org/W2074603814","https://openalex.org/W2074610367","https://openalex.org/W2086907516","https://openalex.org/W2088590382","https://openalex.org/W2109031733","https://openalex.org/W2120807969","https://openalex.org/W2123995545","https://openalex.org/W2137133243","https://openalex.org/W2150460553","https://openalex.org/W2431806563","https://openalex.org/W2496330408","https://openalex.org/W2565594743","https://openalex.org/W2615766182","https://openalex.org/W2751764131","https://openalex.org/W4232711003","https://openalex.org/W4237997615","https://openalex.org/W4285719527","https://openalex.org/W4291439952"],"related_works":["https://openalex.org/W7149636983","https://openalex.org/W2092619359","https://openalex.org/W2779404005","https://openalex.org/W2889926888","https://openalex.org/W2032001474","https://openalex.org/W3110408755","https://openalex.org/W4407951179","https://openalex.org/W2074603814","https://openalex.org/W2809381997","https://openalex.org/W2980987200"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":5},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2}],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2018-06-01T00:00:00"}