{"id":"https://openalex.org/W4389731167","doi":"https://doi.org/10.3233/faia231056","title":"Dynamic Analysis of a Discrete Predator-Prey Model with Increased Density of Both Predator and Prey","display_name":"Dynamic Analysis of a Discrete Predator-Prey Model with Increased Density of Both Predator and Prey","publication_year":2023,"publication_date":"2023-12-12","ids":{"openalex":"https://openalex.org/W4389731167","doi":"https://doi.org/10.3233/faia231056"},"language":"en","primary_location":{"id":"doi:10.3233/faia231056","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3233/faia231056","pdf_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA231056","source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA231056","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074342576","display_name":"Yong-Xin Cen","orcid":null},"institutions":[{"id":"https://openalex.org/I154833797","display_name":"Lingnan Normal University","ror":"https://ror.org/01h6ecw13","country_code":"CN","type":"education","lineage":["https://openalex.org/I154833797"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yong-Xin Cen","raw_affiliation_strings":["Department of Mathematics, Lingnan Normal University, Zhanjiang 524048, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Lingnan Normal University, Zhanjiang 524048, China","institution_ids":["https://openalex.org/I154833797"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042763522","display_name":"Mingshan Li","orcid":"https://orcid.org/0000-0002-4067-1760"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ming-Shan Li","raw_affiliation_strings":["College of Economic and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China"],"affiliations":[{"raw_affiliation_string":"College of Economic and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091267905","display_name":"Zhen-Kun Jiang","orcid":null},"institutions":[{"id":"https://openalex.org/I154833797","display_name":"Lingnan Normal University","ror":"https://ror.org/01h6ecw13","country_code":"CN","type":"education","lineage":["https://openalex.org/I154833797"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhen-Kun Jiang","raw_affiliation_strings":["Department of Mathematics, Lingnan Normal University, Zhanjiang 524048, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Lingnan Normal University, Zhanjiang 524048, China","institution_ids":["https://openalex.org/I154833797"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5104213893","display_name":"Wan-Ying Li","orcid":null},"institutions":[{"id":"https://openalex.org/I154833797","display_name":"Lingnan Normal University","ror":"https://ror.org/01h6ecw13","country_code":"CN","type":"education","lineage":["https://openalex.org/I154833797"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wan-Ying Li","raw_affiliation_strings":["Department of Mathematics, Lingnan Normal University, Zhanjiang 524048, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Lingnan Normal University, Zhanjiang 524048, China","institution_ids":["https://openalex.org/I154833797"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009217135","display_name":"Songbo Wang","orcid":"https://orcid.org/0000-0001-9190-9401"},"institutions":[{"id":"https://openalex.org/I154833797","display_name":"Lingnan Normal University","ror":"https://ror.org/01h6ecw13","country_code":"CN","type":"education","lineage":["https://openalex.org/I154833797"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Song-Bo Wang","raw_affiliation_strings":["School of Business, Lingnan Normal University, Zhanjiang 524048, China"],"affiliations":[{"raw_affiliation_string":"School of Business, Lingnan Normal University, Zhanjiang 524048, China","institution_ids":["https://openalex.org/I154833797"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101966804","display_name":"Xiaoliang Zhou","orcid":"https://orcid.org/0000-0002-4663-2631"},"institutions":[{"id":"https://openalex.org/I154833797","display_name":"Lingnan Normal University","ror":"https://ror.org/01h6ecw13","country_code":"CN","type":"education","lineage":["https://openalex.org/I154833797"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-Liang Zhou","raw_affiliation_strings":["Department of Mathematics, Lingnan Normal University, Zhanjiang 524048, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Lingnan Normal University, Zhanjiang 524048, China","institution_ids":["https://openalex.org/I154833797"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5074342576"],"corresponding_institution_ids":["https://openalex.org/I154833797"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.70264373,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"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":0.9998000264167786,"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":0.9896000027656555,"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9843999743461609,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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","display_name":"Predator","score":0.8304957151412964},{"id":"https://openalex.org/keywords/predation","display_name":"Predation","score":0.7854881286621094},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.5741422176361084},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5439547896385193},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5358802676200867},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5211684703826904},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46293726563453674},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3731106221675873},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3551698923110962},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.30439937114715576},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.22981244325637817},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2173086702823639},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16188359260559082},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11088508367538452},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.06662854552268982}],"concepts":[{"id":"https://openalex.org/C96857902","wikidata":"https://www.wikidata.org/wiki/Q2138108","display_name":"Predator","level":3,"score":0.8304957151412964},{"id":"https://openalex.org/C188382862","wikidata":"https://www.wikidata.org/wiki/Q170430","display_name":"Predation","level":2,"score":0.7854881286621094},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.5741422176361084},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5439547896385193},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5358802676200867},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5211684703826904},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46293726563453674},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3731106221675873},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3551698923110962},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.30439937114715576},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.22981244325637817},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2173086702823639},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16188359260559082},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11088508367538452},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.06662854552268982},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/faia231056","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3233/faia231056","pdf_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA231056","source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"}],"best_oa_location":{"id":"doi:10.3233/faia231056","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3233/faia231056","pdf_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA231056","source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3887172483","display_name":"RUI:  Cirrus Ice Crystal Surface Structure and Kinetics at the Nanoscale","funder_award_id":"1501096","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4488680036","display_name":null,"funder_award_id":"2022A15","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5087339601","display_name":null,"funder_award_id":"01019","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5723882509","display_name":null,"funder_award_id":"1501019","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7383197837","display_name":null,"funder_award_id":"1196102","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8027774622","display_name":null,"funder_award_id":"51501096","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8361573401","display_name":null,"funder_award_id":"11961021","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"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"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4389731167.pdf","grobid_xml":"https://content.openalex.org/works/W4389731167.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W45035816","https://openalex.org/W1528672889","https://openalex.org/W1555120240","https://openalex.org/W1991644667","https://openalex.org/W1997297480","https://openalex.org/W2008439147","https://openalex.org/W2031990707","https://openalex.org/W2033490423","https://openalex.org/W2061029850","https://openalex.org/W2062818395","https://openalex.org/W2072583653","https://openalex.org/W2089051308","https://openalex.org/W2145153032","https://openalex.org/W2317279402","https://openalex.org/W2565159503","https://openalex.org/W2795844075","https://openalex.org/W2811248968","https://openalex.org/W2900205358","https://openalex.org/W3120257849","https://openalex.org/W3177004170","https://openalex.org/W3210808039","https://openalex.org/W4200594982","https://openalex.org/W4210760429","https://openalex.org/W4224947030","https://openalex.org/W4247961814","https://openalex.org/W4366309888","https://openalex.org/W6601826198"],"related_works":["https://openalex.org/W2168669462","https://openalex.org/W2067000585","https://openalex.org/W2192426841","https://openalex.org/W4323811225","https://openalex.org/W2164070575","https://openalex.org/W4311356582","https://openalex.org/W2289298756","https://openalex.org/W2073795128","https://openalex.org/W2143533297","https://openalex.org/W2075391697"],"abstract_inverted_index":{"We":[0,18,34,44],"study":[1],"the":[2,20,26,31,39],"dynamical":[3],"property":[4],"of":[5,13,25],"a":[6,46],"discrete":[7],"predator-prey":[8],"model":[9],"with":[10],"increased":[11],"density":[12],"both":[14],"predator":[15],"and":[16,23],"prey.":[17],"survey":[19],"existence":[21],"conditions":[22],"stability":[24],"equilibrium":[27,41],"points":[28],"by":[29],"using":[30],"bifurcation":[32],"theory.":[33],"investigate":[35],"N-S":[36],"bifurcations":[37],"at":[38],"positive":[40],"point.":[42],"Finally,":[43],"provide":[45],"biological":[47],"explanation":[48],"for":[49],"our":[50],"results.":[51]},"counts_by_year":[],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}