{"id":"https://openalex.org/W7214701953","doi":"https://doi.org/10.4208/aam.v32.n1.p42","title":"Global Attractivity in an Almost Periodic Predator-Prey-Mutualist System","display_name":"Global Attractivity in an Almost Periodic Predator-Prey-Mutualist System","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W7214701953","doi":"https://doi.org/10.4208/aam.v32.n1.p42"},"language":"en","primary_location":{"id":"doi:10.4208/aam.v32.n1.p42","doi":"https://doi.org/10.4208/aam.v32.n1.p42","is_oa":false,"landing_page_url":"https://doi.org/10.4208/aam.v32.n1.p42","pdf_url":null,"source":{"id":"https://openalex.org/S4210213913","display_name":"Annals of Applied Mathematics","issn_l":"2096-0174","issn":["2096-0174","3105-2266"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Applied Mathematics","raw_type":"journal-article"},"volume":null,"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/A5153411658","display_name":"Liya Yang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I80947539","display_name":"Fuzhou University","ror":"https://ror.org/011xvna82","country_code":"CN","type":"education","lineage":["https://openalex.org/I80947539"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liya Yang","raw_affiliation_strings":["College of Math. and Computer Science, Fuzhou University, Fujian 350116, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Math. and Computer Science, Fuzhou University, Fujian 350116, PR China","institution_ids":["https://openalex.org/I80947539"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023295889","display_name":"\u9648\u51e4\u5fb7","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I80947539","display_name":"Fuzhou University","ror":"https://ror.org/011xvna82","country_code":"CN","type":"education","lineage":["https://openalex.org/I80947539"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fengde Chen","raw_affiliation_strings":["College of Math. and Computer Science, Fuzhou University, Fujian 350116, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Math. and Computer Science, Fuzhou University, Fujian 350116, PR China","institution_ids":["https://openalex.org/I80947539"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110375880","display_name":"Chengqiang Wu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I80947539","display_name":"Fuzhou University","ror":"https://ror.org/011xvna82","country_code":"CN","type":"education","lineage":["https://openalex.org/I80947539"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chengqiang Wu","raw_affiliation_strings":["College of Math. and Computer Science, Fuzhou University, Fujian 350116, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Math. and Computer Science, Fuzhou University, Fujian 350116, PR China","institution_ids":["https://openalex.org/I80947539"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5153415849","display_name":"Xiangdong Xie","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210117043","display_name":"Ningde Normal University","ror":"https://ror.org/01p996c64","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210117043"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiangdong Xie","raw_affiliation_strings":["Dept. of Math., Ningde Normal University, Fujian 352300, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Math., Ningde Normal University, Fujian 352300, PR China","institution_ids":["https://openalex.org/I4210117043"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.67553574,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"32","issue":"1","first_page":"42","last_page":"53"},"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":0.9994999766349792,"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":0.9994999766349792,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":9.999999747378752e-05,"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/almost-periodic-solutions","display_name":"almost periodic solutions","score":0.7269999980926514},{"id":"https://openalex.org/keywords/global-attractivity","display_name":"global attractivity","score":0.9359999895095825},{"id":"https://openalex.org/keywords/uniform-persistence","display_name":"uniform persistence","score":0.9919999837875366},{"id":"https://openalex.org/keywords/holling-type-ii-functional-response","display_name":"Holling type II functional response","score":0.996999979019165},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.9760000109672546},{"id":"https://openalex.org/keywords/ecological-dynamics","display_name":"ecological dynamics","score":0.31700000166893005}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7942000031471252},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5846999883651733},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4959999918937683},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.48410001397132874},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4691999852657318},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4323999881744385},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4259999990463257},{"id":"https://openalex.org/C110201527","wikidata":"https://www.wikidata.org/wiki/Q5508845","display_name":"Functional response","level":4,"score":0.3952000141143799},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.37860000133514404},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.3774999976158142},{"id":"https://openalex.org/C2781009140","wikidata":"https://www.wikidata.org/wiki/Q7170389","display_name":"Persistence (discontinuity)","level":2,"score":0.3718999922275543},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.328900009393692},{"id":"https://openalex.org/C2989467761","wikidata":"https://www.wikidata.org/wiki/Q10693","display_name":"Periodic system","level":2,"score":0.3215999901294708},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.27309998869895935},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.26269999146461487},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.2572999894618988},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.250900000333786}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.4208/aam.v32.n1.p42","doi":"https://doi.org/10.4208/aam.v32.n1.p42","is_oa":false,"landing_page_url":"https://doi.org/10.4208/aam.v32.n1.p42","pdf_url":null,"source":{"id":"https://openalex.org/S4210213913","display_name":"Annals of Applied Mathematics","issn_l":"2096-0174","issn":["2096-0174","3105-2266"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Applied Mathematics","raw_type":"journal-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":16,"referenced_works":["https://openalex.org/W1972085987","https://openalex.org/W1979940582","https://openalex.org/W1987364265","https://openalex.org/W2021768140","https://openalex.org/W2026211793","https://openalex.org/W2028568622","https://openalex.org/W2031884419","https://openalex.org/W2049346153","https://openalex.org/W2052361709","https://openalex.org/W2063518287","https://openalex.org/W2088433366","https://openalex.org/W2090980004","https://openalex.org/W2101458347","https://openalex.org/W2139295009","https://openalex.org/W2166751790","https://openalex.org/W2168273812"],"related_works":["https://openalex.org/W2026211793","https://openalex.org/W2056026379","https://openalex.org/W2351567812","https://openalex.org/W2380908007","https://openalex.org/W2136172114","https://openalex.org/W263047358","https://openalex.org/W2362179987","https://openalex.org/W1121819399","https://openalex.org/W2046044020","https://openalex.org/W2350603316"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,23,27,31,36,50,62,74,77],"almost":[4,37,58],"periodic":[5,38,59],"predator-prey-mutualist":[6],"model":[7],"with":[8,69],"Holling":[9],"type":[10],"II":[11],"functional":[12],"response":[13],"is":[14],"discussed.":[15],"A":[16],"set":[17],"of":[18,30,52,61,76],"sufficient":[19,46],"conditions":[20,47],"which":[21,48],"guarantee":[22,49],"uniform":[24],"persistence":[25],"and":[26],"global":[28],"attractivity":[29],"system":[32,63],"are":[33,64],"obtained.":[34,65],"For":[35],"case,":[39],"by":[40],"constructing":[41],"a":[42,53],"suitable":[43],"Lyapunov":[44],"function,":[45],"existence":[51],"unique":[54],"globally":[55],"attractive":[56],"positive":[57],"solution":[60],"An":[66],"example":[67],"together":[68],"its":[70],"numerical":[71],"simulations":[72],"shows":[73],"feasibility":[75],"main":[78],"results.":[79]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-09-30T00:00:00"}