{"id":"https://openalex.org/W2098836615","doi":"https://doi.org/10.1109/hhbe.2011.6027928","title":"Periodic solutions of discrete time and ratio-dependent system with one predator and two cooperative preys","display_name":"Periodic solutions of discrete time and ratio-dependent system with one predator and two cooperative preys","publication_year":2011,"publication_date":"2011-08-01","ids":{"openalex":"https://openalex.org/W2098836615","doi":"https://doi.org/10.1109/hhbe.2011.6027928","mag":"2098836615"},"language":"en","primary_location":{"id":"doi:10.1109/hhbe.2011.6027928","doi":"https://doi.org/10.1109/hhbe.2011.6027928","is_oa":false,"landing_page_url":"https://doi.org/10.1109/hhbe.2011.6027928","pdf_url":null,"source":{"id":"https://openalex.org/S4306419510","display_name":"International Conference on Human Health and Biomedical Engineering","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings 2011 International Conference on Human Health and Biomedical Engineering","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","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/A5100420253","display_name":"Yanhong Li","orcid":"https://orcid.org/0009-0003-8578-0623","observed_orcids":["https://orcid.org/0009-0003-8578-0623"]},"institutions":[{"id":"https://openalex.org/I121691239","display_name":"Beihua University","ror":"https://ror.org/013jjp941","country_code":"CN","type":"education","lineage":["https://openalex.org/I121691239"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li Yanhong","raw_affiliation_strings":["College of Mathematics, Beihua University, Jilin City, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics, Beihua University, Jilin City, China","institution_ids":["https://openalex.org/I121691239"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101939198","display_name":"Ming Zhao","orcid":"https://orcid.org/0000-0002-0633-5464","observed_orcids":["https://orcid.org/0000-0002-0633-5464"]},"institutions":[{"id":"https://openalex.org/I121691239","display_name":"Beihua University","ror":"https://ror.org/013jjp941","country_code":"CN","type":"education","lineage":["https://openalex.org/I121691239"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhao Ming","raw_affiliation_strings":["Computer College, Beihua University, Jilin City, China","College of Mathematics, Beihua University, Jilin City, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer College, Beihua University, Jilin City, China","institution_ids":["https://openalex.org/I121691239"]},{"raw_affiliation_string":"College of Mathematics, Beihua University, Jilin City, China","institution_ids":["https://openalex.org/I121691239"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066855287","display_name":"Taihui Liu","orcid":"https://orcid.org/0009-0008-6841-4994","observed_orcids":["https://orcid.org/0009-0008-6841-4994"]},"institutions":[{"id":"https://openalex.org/I121691239","display_name":"Beihua University","ror":"https://ror.org/013jjp941","country_code":"CN","type":"education","lineage":["https://openalex.org/I121691239"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liu Taihui","raw_affiliation_strings":["College of Mathematics, Beihua University, Jilin City, China","Computer College, Beihua University, Jilin City, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics, Beihua University, Jilin City, China","institution_ids":["https://openalex.org/I121691239"]},{"raw_affiliation_string":"Computer College, Beihua University, Jilin City, China","institution_ids":["https://openalex.org/I121691239"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102181643","display_name":"Cheng Rong-fu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I121691239","display_name":"Beihua University","ror":"https://ror.org/013jjp941","country_code":"CN","type":"education","lineage":["https://openalex.org/I121691239"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cheng Rongfu","raw_affiliation_strings":["College of Mathematics, Beihua University, Jilin City, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics, Beihua University, Jilin City, China","institution_ids":["https://openalex.org/I121691239"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I121691239"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"48","issue":null,"first_page":"179","last_page":"181"},"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":0.9940999746322632,"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":0.9940999746322632,"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":0.005499999970197678,"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":9.999999747378752e-05,"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/ratio-dependent-predator-prey-model","display_name":"ratio-dependent predator-prey model","score":0.9269999861717224},{"id":"https://openalex.org/keywords/three-species-system","display_name":"three-species system","score":0.7350000143051147},{"id":"https://openalex.org/keywords/periodic-coefficients","display_name":"periodic coefficients","score":0.5149999856948853},{"id":"https://openalex.org/keywords/discrete-time-difference-equations","display_name":"discrete-time difference equations","score":0.7120000123977661},{"id":"https://openalex.org/keywords/positive-periodic-solutions","display_name":"positive periodic solutions","score":0.984000027179718},{"id":"https://openalex.org/keywords/existence-of-solutions","display_name":"existence of solutions","score":0.8700000047683716},{"id":"https://openalex.org/keywords/coincidence-degree-theory","display_name":"coincidence degree theory","score":0.7670000195503235}],"concepts":[{"id":"https://openalex.org/C85847156","wikidata":"https://www.wikidata.org/wiki/Q59015987","display_name":"Verifiable secret sharing","level":3,"score":0.8405134081840515},{"id":"https://openalex.org/C2779832538","wikidata":"https://www.wikidata.org/wiki/Q2308809","display_name":"Coincidence","level":3,"score":0.8074874877929688},{"id":"https://openalex.org/C96857902","wikidata":"https://www.wikidata.org/wiki/Q2138108","display_name":"Predator","level":3,"score":0.6861451864242554},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.631558358669281},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5674479007720947},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5475524067878723},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5427061319351196},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.5328279733657837},{"id":"https://openalex.org/C188382862","wikidata":"https://www.wikidata.org/wiki/Q170430","display_name":"Predation","level":2,"score":0.44199898838996887},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3743691146373749},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.32190805673599243},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2207706868648529},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.184688538312912},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1314641237258911},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.08364996314048767},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.07157102227210999},{"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0},{"id":"https://openalex.org/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/hhbe.2011.6027928","doi":"https://doi.org/10.1109/hhbe.2011.6027928","is_oa":false,"landing_page_url":"https://doi.org/10.1109/hhbe.2011.6027928","pdf_url":null,"source":{"id":"https://openalex.org/S4306419510","display_name":"International Conference on Human Health and Biomedical Engineering","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings 2011 International Conference on Human Health and Biomedical Engineering","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W278719478","https://openalex.org/W566195298","https://openalex.org/W1964801597","https://openalex.org/W1967060190","https://openalex.org/W2026527395","https://openalex.org/W2377819171","https://openalex.org/W2378518610","https://openalex.org/W2390537564"],"related_works":["https://openalex.org/W1031614037","https://openalex.org/W2107551772","https://openalex.org/W2359363966","https://openalex.org/W2086814653","https://openalex.org/W1981270963","https://openalex.org/W2089477058","https://openalex.org/W1980142206","https://openalex.org/W2375676538","https://openalex.org/W2163626773","https://openalex.org/W1964801597"],"abstract_inverted_index":{"In":[0],"this":[1,46],"paper,":[2],"we":[3,37],"consider":[4],"a":[5,48],"three-species":[6],"ratio-dependent":[7],"predator-prey":[8],"model":[9],"governed":[10],"by":[11,27],"difference":[12],"equations":[13],"with":[14],"periodic":[15,43],"coefficients":[16],"and":[17],"discrete":[18],"time,":[19],"in":[20],"which":[21],"two":[22],"cooperative":[23],"preys":[24],"are":[25],"preyed":[26],"one":[28],"predator.":[29],"By":[30],"using":[31],"the":[32,39],"method":[33],"of":[34,41,45,50],"coincidence":[35],"degree,":[36],"discuss":[38],"existence":[40],"positive":[42],"solutions":[44],"system;":[47],"set":[49],"easily":[51],"verifiable":[52],"sufficient":[53],"conditions":[54],"is":[55],"obtained.":[56]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}
