{"id":"https://openalex.org/W2090534905","doi":"https://doi.org/10.1155/2013/973805","title":"Asymmetrical Impact of Allee Effect on a Discrete-Time Predator-Prey System","display_name":"Asymmetrical Impact of Allee Effect on a Discrete-Time Predator-Prey System","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2090534905","doi":"https://doi.org/10.1155/2013/973805","mag":"2090534905"},"language":"en","primary_location":{"id":"doi:10.1155/2013/973805","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/973805","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/973805.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2013/973805.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100361552","display_name":"Wenting Wang","orcid":"https://orcid.org/0000-0001-7850-3597"},"institutions":[{"id":"https://openalex.org/I124644866","display_name":"Northwest Minzu University","ror":"https://ror.org/04cyy9943","country_code":"CN","type":"education","lineage":["https://openalex.org/I124644866"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wenting Wang","raw_affiliation_strings":["School of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou 730030, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou 730030, China","institution_ids":["https://openalex.org/I124644866"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110376495","display_name":"Yujuan Jiao","orcid":null},"institutions":[{"id":"https://openalex.org/I124644866","display_name":"Northwest Minzu University","ror":"https://ror.org/04cyy9943","country_code":"CN","type":"education","lineage":["https://openalex.org/I124644866"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yujuan Jiao","raw_affiliation_strings":["School of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou 730030, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou 730030, China","institution_ids":["https://openalex.org/I124644866"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061972415","display_name":"Xiuping Chen","orcid":"https://orcid.org/0000-0003-2675-7645"},"institutions":[{"id":"https://openalex.org/I124644866","display_name":"Northwest Minzu University","ror":"https://ror.org/04cyy9943","country_code":"CN","type":"education","lineage":["https://openalex.org/I124644866"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiuping Chen","raw_affiliation_strings":["School of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou 730030, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou 730030, China","institution_ids":["https://openalex.org/I124644866"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100361552"],"corresponding_institution_ids":["https://openalex.org/I124644866"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.3265,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.70510806,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2013","issue":null,"first_page":"1","last_page":"10"},"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":0.9998000264167786,"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":0.9998000264167786,"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/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9930999875068665,"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"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9740999937057495,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/allee-effect","display_name":"Allee effect","score":0.9987689852714539},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5773119926452637},{"id":"https://openalex.org/keywords/predation","display_name":"Predation","score":0.5614806413650513},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.51315838098526},{"id":"https://openalex.org/keywords/predator","display_name":"Predator","score":0.5030171275138855},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4247521758079529},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4175412058830261},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3755655586719513},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.27878206968307495},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18834498524665833},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.1524912416934967},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10931703448295593},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.07087740302085876}],"concepts":[{"id":"https://openalex.org/C10958125","wikidata":"https://www.wikidata.org/wiki/Q2301505","display_name":"Allee effect","level":3,"score":0.9987689852714539},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5773119926452637},{"id":"https://openalex.org/C188382862","wikidata":"https://www.wikidata.org/wiki/Q170430","display_name":"Predation","level":2,"score":0.5614806413650513},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.51315838098526},{"id":"https://openalex.org/C96857902","wikidata":"https://www.wikidata.org/wiki/Q2138108","display_name":"Predator","level":3,"score":0.5030171275138855},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4247521758079529},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4175412058830261},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3755655586719513},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.27878206968307495},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18834498524665833},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.1524912416934967},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10931703448295593},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.07087740302085876},{"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/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"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":4,"locations":[{"id":"doi:10.1155/2013/973805","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/973805","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/973805.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1394807930","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1394807930","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:973805","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2013/973805.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:d419caf50c0748d28832090cc4b038b2","is_oa":true,"landing_page_url":"https://doaj.org/article/d419caf50c0748d28832090cc4b038b2","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2013 (2013)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2013/973805","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/973805","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/973805.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1287175647","display_name":"RUI: Glucan Phosphatases and Regulation of Transitory Starch Metabolism","funder_award_id":"2012074","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1494990909","display_name":null,"funder_award_id":"201207","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2376276132","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G3454429247","display_name":null,"funder_award_id":"31170430","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4170162408","display_name":null,"funder_award_id":"11226257","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6322221325","display_name":null,"funder_award_id":"zyz2012074","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G99829706","display_name":null,"funder_award_id":"zyz2012074","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2090534905.pdf","grobid_xml":"https://content.openalex.org/works/W2090534905.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W1965439315","https://openalex.org/W1966012509","https://openalex.org/W1971696193","https://openalex.org/W1978889151","https://openalex.org/W1998724231","https://openalex.org/W2001451047","https://openalex.org/W2002637206","https://openalex.org/W2019451388","https://openalex.org/W2021540073","https://openalex.org/W2035797868","https://openalex.org/W2050157940","https://openalex.org/W2054014123","https://openalex.org/W2059703325","https://openalex.org/W2065317320","https://openalex.org/W2072382527","https://openalex.org/W2077921800","https://openalex.org/W2081642807","https://openalex.org/W2091159659","https://openalex.org/W2107190886","https://openalex.org/W2115971326","https://openalex.org/W2122200865","https://openalex.org/W2122448409","https://openalex.org/W2155765024","https://openalex.org/W2172033384","https://openalex.org/W2639639281","https://openalex.org/W4250716583"],"related_works":["https://openalex.org/W2168669462","https://openalex.org/W2177427508","https://openalex.org/W2067000585","https://openalex.org/W2192426841","https://openalex.org/W4323811225","https://openalex.org/W4226440615","https://openalex.org/W2164070575","https://openalex.org/W2075391697","https://openalex.org/W2289298756","https://openalex.org/W2073795128"],"abstract_inverted_index":{"A":[0],"discrete-time":[1],"predator-prey":[2],"model":[3],"is":[4,21,48],"proposed":[5,19],"with":[6,37,82],"Leslie-type":[7],"numerical":[8,46],"response,":[9],"and":[10,54],"the":[11,18,30,34,52,68,79,104],"asymmetrical":[12],"influence":[13],"of":[14,33,94,103],"Allee":[15,40,63,83,95],"effect":[16,41,64,84,96],"on":[17,65,97],"system":[20,69],"investigated.":[22],"By":[23],"mathematical":[24],"analysis,":[25],"locally":[26],"stable":[27,72],"conditions":[28],"for":[29],"equilibrium":[31],"points":[32],"considered":[35],"systems":[36],"or":[38],"without":[39],"are":[42],"obtained":[43],"firstly.":[44],"Furthermore,":[45],"simulation":[47],"used":[49],"to":[50,70],"verify":[51],"results":[53,60,99],"detect":[55],"some":[56],"new":[57],"outcomes.":[58],"The":[59],"show":[61],"that":[62],"predator":[66],"leads":[67],"its":[71],"state":[73],"in":[74,100],"much":[75,87],"longer":[76],"time.":[77],"Conversely,":[78],"prey":[80,98],"population":[81],"makes":[85],"it":[86],"faster.":[88],"In":[89],"particular,":[90],"a":[91],"large":[92],"value":[93],"periodic":[101],"dynamics":[102],"system.":[105]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
