{"id":"https://openalex.org/W4292549024","doi":"https://doi.org/10.3390/axioms11080421","title":"Stability Analysis of a Stage-Structure Predator\u2013Prey Model with Holling III Functional Response and Cannibalism","display_name":"Stability Analysis of a Stage-Structure Predator\u2013Prey Model with Holling III Functional Response and Cannibalism","publication_year":2022,"publication_date":"2022-08-21","ids":{"openalex":"https://openalex.org/W4292549024","doi":"https://doi.org/10.3390/axioms11080421"},"language":"en","primary_location":{"id":"doi:10.3390/axioms11080421","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11080421","pdf_url":"https://www.mdpi.com/2075-1680/11/8/421/pdf?version=1661309122","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/11/8/421/pdf?version=1661309122","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001444767","display_name":"Yufen Wei","orcid":"https://orcid.org/0000-0003-4587-8717"},"institutions":[{"id":"https://openalex.org/I4210124184","display_name":"Heilongjiang Bayi Agricultural University","ror":"https://ror.org/030jxf285","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210124184"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yufen Wei","raw_affiliation_strings":["College of Science, Heilongjiang Bayi Agricultural University, Daqing 163319, China"],"affiliations":[{"raw_affiliation_string":"College of Science, Heilongjiang Bayi Agricultural University, Daqing 163319, China","institution_ids":["https://openalex.org/I4210124184"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073868348","display_name":"Yu Li","orcid":"https://orcid.org/0000-0002-4993-7377"},"institutions":[{"id":"https://openalex.org/I47689461","display_name":"Northeast Forestry University","ror":"https://ror.org/02yxnh564","country_code":"CN","type":"education","lineage":["https://openalex.org/I47689461"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yu Li","raw_affiliation_strings":["Department of Mathematics, Northeast Forestry University, Harbin 150040, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Northeast Forestry University, Harbin 150040, China","institution_ids":["https://openalex.org/I47689461"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5073868348"],"corresponding_institution_ids":["https://openalex.org/I47689461"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.3916,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.62975639,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"11","issue":"8","first_page":"421","last_page":"421"},"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":0.9998999834060669,"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":0.9998999834060669,"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":0.996999979019165,"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":0.9940000176429749,"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/functional-response","display_name":"Functional response","score":0.7431978583335876},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7191016674041748},{"id":"https://openalex.org/keywords/cannibalism","display_name":"Cannibalism","score":0.6638617515563965},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.5954638123512268},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5668548941612244},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.5616229176521301},{"id":"https://openalex.org/keywords/predation","display_name":"Predation","score":0.5426878929138184},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.523060142993927},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5064002275466919},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5028983950614929},{"id":"https://openalex.org/keywords/persistence","display_name":"Persistence (discontinuity)","score":0.4822328984737396},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.43364065885543823},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4323117136955261},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.39405158162117004},{"id":"https://openalex.org/keywords/predator","display_name":"Predator","score":0.34844785928726196},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.20284602046012878},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.13387975096702576},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12222626805305481},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.10307520627975464},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09655401110649109}],"concepts":[{"id":"https://openalex.org/C110201527","wikidata":"https://www.wikidata.org/wiki/Q5508845","display_name":"Functional response","level":4,"score":0.7431978583335876},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7191016674041748},{"id":"https://openalex.org/C548578009","wikidata":"https://www.wikidata.org/wiki/Q44595","display_name":"Cannibalism","level":3,"score":0.6638617515563965},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.5954638123512268},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5668548941612244},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.5616229176521301},{"id":"https://openalex.org/C188382862","wikidata":"https://www.wikidata.org/wiki/Q170430","display_name":"Predation","level":2,"score":0.5426878929138184},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.523060142993927},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5064002275466919},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5028983950614929},{"id":"https://openalex.org/C2781009140","wikidata":"https://www.wikidata.org/wiki/Q7170389","display_name":"Persistence (discontinuity)","level":2,"score":0.4822328984737396},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.43364065885543823},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4323117136955261},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.39405158162117004},{"id":"https://openalex.org/C96857902","wikidata":"https://www.wikidata.org/wiki/Q2138108","display_name":"Predator","level":3,"score":0.34844785928726196},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.20284602046012878},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.13387975096702576},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12222626805305481},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.10307520627975464},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09655401110649109},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"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/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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms11080421","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11080421","pdf_url":"https://www.mdpi.com/2075-1680/11/8/421/pdf?version=1661309122","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:d0d033e7961a4a09b5d4a2f33600e664","is_oa":true,"landing_page_url":"https://doaj.org/article/d0d033e7961a4a09b5d4a2f33600e664","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 11, Iss 8, p 421 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/11/8/421/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms11080421","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms; Volume 11; Issue 8; Pages: 421","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms11080421","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11080421","pdf_url":"https://www.mdpi.com/2075-1680/11/8/421/pdf?version=1661309122","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4292549024.pdf","grobid_xml":"https://content.openalex.org/works/W4292549024.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1826036052","https://openalex.org/W1966224001","https://openalex.org/W1980520517","https://openalex.org/W1981304161","https://openalex.org/W1990167663","https://openalex.org/W2007872151","https://openalex.org/W2044783965","https://openalex.org/W2049066415","https://openalex.org/W2087294279","https://openalex.org/W2112588129","https://openalex.org/W2123261528","https://openalex.org/W2148201954","https://openalex.org/W2166429737","https://openalex.org/W2253900138","https://openalex.org/W2284298463","https://openalex.org/W2791483500","https://openalex.org/W2792139240","https://openalex.org/W2901359446","https://openalex.org/W2957242856","https://openalex.org/W2970341660","https://openalex.org/W3029960344","https://openalex.org/W3046241641","https://openalex.org/W3092168353","https://openalex.org/W3092924561","https://openalex.org/W3110571211","https://openalex.org/W3169446332","https://openalex.org/W3171245346","https://openalex.org/W4220664834","https://openalex.org/W4236271172","https://openalex.org/W6678829201","https://openalex.org/W6794944599"],"related_works":["https://openalex.org/W4394983254","https://openalex.org/W2364474991","https://openalex.org/W2074717584","https://openalex.org/W2355649166","https://openalex.org/W4285551356","https://openalex.org/W327603423","https://openalex.org/W2352329350","https://openalex.org/W4246323976","https://openalex.org/W2541551113","https://openalex.org/W2984926096"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"the":[3,14,30,37,40,48,53,64,71,79,87,91,104,108,119],"time":[4,27],"taken":[5],"for":[6,33,103],"young":[7],"predators":[8,12],"to":[9,117],"become":[10],"adult":[11],"as":[13],"delay":[15],"and":[16,26,36,47,78,90,98],"constructs":[17],"a":[18,67],"stage-structured":[19],"predator\u2013prey":[20],"system":[21,46,65],"with":[22],"Holling":[23],"III":[24],"response":[25],"delay.":[28],"Using":[29],"persistence":[31,42],"theory":[32],"infinite-dimensional":[34],"systems":[35],"Hurwitz":[38],"criterion,":[39],"permanent":[41],"condition":[43,51],"of":[44,52,107],"this":[45],"local":[49],"stability":[50,106],"system\u2019s":[54],"coexistence":[55,72,92,109],"equilibrium":[56,89,93],"are":[57,94,101,114],"given.":[58],"Further,":[59],"it":[60,83],"is":[61,84],"proven":[62],"that":[63,86],"undergoes":[66],"Hopf":[68],"bifurcation":[69],"at":[70],"equilibrium.":[73,110],"By":[74],"using":[75],"Lyapunov":[76],"functions":[77],"LaSalle":[80],"invariant":[81],"principle,":[82],"shown":[85],"trivial":[88],"globally":[95],"asymptotically":[96],"stable,":[97],"sufficient":[99],"conditions":[100],"derived":[102],"global":[105],"Some":[111],"numerical":[112],"simulations":[113],"carried":[115],"out":[116],"illustrate":[118],"main":[120],"results.":[121]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-08-22T00:00:00"}
