{"id":"https://openalex.org/W4366286724","doi":"https://doi.org/10.3390/axioms12040390","title":"Stability Switching in Lotka-Volterra and Ricker-Type Predator-Prey Systems with Arbitrary Step Size","display_name":"Stability Switching in Lotka-Volterra and Ricker-Type Predator-Prey Systems with Arbitrary Step Size","publication_year":2023,"publication_date":"2023-04-17","ids":{"openalex":"https://openalex.org/W4366286724","doi":"https://doi.org/10.3390/axioms12040390"},"language":"en","primary_location":{"id":"doi:10.3390/axioms12040390","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12040390","pdf_url":"https://www.mdpi.com/2075-1680/12/4/390/pdf?version=1681782764","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/2075-1680/12/4/390/pdf?version=1681782764","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024000858","display_name":"Shamika Prasadini Kekulthotuwage Don","orcid":"https://orcid.org/0000-0002-4210-9480"},"institutions":[{"id":"https://openalex.org/I160993911","display_name":"Queensland University of Technology","ror":"https://ror.org/03pnv4752","country_code":"AU","type":"education","lineage":["https://openalex.org/I160993911"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Shamika Kekulthotuwage Don","raw_affiliation_strings":["School of Mathematical Sciences, Queensland University of Technology, 2 George Street, Brisbane City, QLD 4000, Australia"],"raw_orcid":"https://orcid.org/0000-0002-4210-9480","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Queensland University of Technology, 2 George Street, Brisbane City, QLD 4000, Australia","institution_ids":["https://openalex.org/I160993911"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003330950","display_name":"Kevin Burrage","orcid":"https://orcid.org/0000-0002-8111-1137"},"institutions":[{"id":"https://openalex.org/I160993911","display_name":"Queensland University of Technology","ror":"https://ror.org/03pnv4752","country_code":"AU","type":"education","lineage":["https://openalex.org/I160993911"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Kevin Burrage","raw_affiliation_strings":["Centre for Data Science, Queensland University of Technology, Y Block, Gardens Point Campus, 2 George Street, Brisbane City, QLD 4000, Australia","School of Mathematical Sciences, Queensland University of Technology, 2 George Street, Brisbane City, QLD 4000, Australia"],"raw_orcid":"https://orcid.org/0000-0002-8111-1137","affiliations":[{"raw_affiliation_string":"Centre for Data Science, Queensland University of Technology, Y Block, Gardens Point Campus, 2 George Street, Brisbane City, QLD 4000, Australia","institution_ids":["https://openalex.org/I160993911"]},{"raw_affiliation_string":"School of Mathematical Sciences, Queensland University of Technology, 2 George Street, Brisbane City, QLD 4000, Australia","institution_ids":["https://openalex.org/I160993911"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020121862","display_name":"Kate J. Helmstedt","orcid":"https://orcid.org/0000-0003-0201-5348"},"institutions":[{"id":"https://openalex.org/I160993911","display_name":"Queensland University of Technology","ror":"https://ror.org/03pnv4752","country_code":"AU","type":"education","lineage":["https://openalex.org/I160993911"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Kate J. Helmstedt","raw_affiliation_strings":["Centre for Data Science, Queensland University of Technology, Y Block, Gardens Point Campus, 2 George Street, Brisbane City, QLD 4000, Australia","School of Mathematical Sciences, Queensland University of Technology, 2 George Street, Brisbane City, QLD 4000, Australia"],"raw_orcid":"https://orcid.org/0000-0003-0201-5348","affiliations":[{"raw_affiliation_string":"Centre for Data Science, Queensland University of Technology, Y Block, Gardens Point Campus, 2 George Street, Brisbane City, QLD 4000, Australia","institution_ids":["https://openalex.org/I160993911"]},{"raw_affiliation_string":"School of Mathematical Sciences, Queensland University of Technology, 2 George Street, Brisbane City, QLD 4000, Australia","institution_ids":["https://openalex.org/I160993911"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016673913","display_name":"Pamela Burrage","orcid":"https://orcid.org/0000-0002-6612-3084"},"institutions":[{"id":"https://openalex.org/I160993911","display_name":"Queensland University of Technology","ror":"https://ror.org/03pnv4752","country_code":"AU","type":"education","lineage":["https://openalex.org/I160993911"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Pamela M. Burrage","raw_affiliation_strings":["Centre for Data Science, Queensland University of Technology, Y Block, Gardens Point Campus, 2 George Street, Brisbane City, QLD 4000, Australia","School of Mathematical Sciences, Queensland University of Technology, 2 George Street, Brisbane City, QLD 4000, Australia"],"raw_orcid":"https://orcid.org/0000-0002-6612-3084","affiliations":[{"raw_affiliation_string":"Centre for Data Science, Queensland University of Technology, Y Block, Gardens Point Campus, 2 George Street, Brisbane City, QLD 4000, Australia","institution_ids":["https://openalex.org/I160993911"]},{"raw_affiliation_string":"School of Mathematical Sciences, Queensland University of Technology, 2 George Street, Brisbane City, QLD 4000, Australia","institution_ids":["https://openalex.org/I160993911"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5024000858"],"corresponding_institution_ids":["https://openalex.org/I160993911"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.8095,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.73131651,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"12","issue":"4","first_page":"390","last_page":"390"},"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":0.9997000098228455,"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":0.9997000098228455,"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":0.9965000152587891,"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/T11913","display_name":"Animal Ecology and Behavior Studies","score":0.9878000020980835,"subfield":{"id":"https://openalex.org/subfields/2303","display_name":"Ecology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7278217077255249},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.710628867149353},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6566068530082703},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6561893820762634},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.6038748025894165},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5913994908332825},{"id":"https://openalex.org/keywords/dynamical-system","display_name":"Dynamical system (definition)","score":0.5726056098937988},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.4513600468635559},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.42968738079071045},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.38345280289649963},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2553151845932007},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20904284715652466},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12482398748397827},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.10775566101074219},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09509268403053284},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.06602141261100769}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7278217077255249},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.710628867149353},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6566068530082703},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6561893820762634},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6038748025894165},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5913994908332825},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.5726056098937988},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.4513600468635559},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.42968738079071045},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.38345280289649963},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2553151845932007},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20904284715652466},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12482398748397827},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.10775566101074219},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09509268403053284},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.06602141261100769},{"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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms12040390","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12040390","pdf_url":"https://www.mdpi.com/2075-1680/12/4/390/pdf?version=1681782764","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:63a1ecb8b9b245ab87df51f939a4b0c6","is_oa":true,"landing_page_url":"https://doaj.org/article/63a1ecb8b9b245ab87df51f939a4b0c6","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 12, Iss 4, p 390 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/12/4/390/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms12040390","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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms; Volume 12; Issue 4; Pages: 390","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms12040390","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12040390","pdf_url":"https://www.mdpi.com/2075-1680/12/4/390/pdf?version=1681782764","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":[{"id":"https://openalex.org/G6089308691","display_name":"Mathematically optimal R&D for coral reef conservation","funder_award_id":"DE200101791","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"}],"funders":[{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4366286724.pdf"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W1964367996","https://openalex.org/W1983156042","https://openalex.org/W1985941935","https://openalex.org/W2024428978","https://openalex.org/W2025206686","https://openalex.org/W2025904721","https://openalex.org/W2060666234","https://openalex.org/W2073730970","https://openalex.org/W2082455455","https://openalex.org/W2104395499","https://openalex.org/W2124822779","https://openalex.org/W2127455215","https://openalex.org/W2128050256","https://openalex.org/W2136858156","https://openalex.org/W2166388114","https://openalex.org/W2731151672","https://openalex.org/W2886981579","https://openalex.org/W2911615377","https://openalex.org/W2964286021","https://openalex.org/W3006993751","https://openalex.org/W3089925843","https://openalex.org/W3120767644","https://openalex.org/W3154349298","https://openalex.org/W4223611906","https://openalex.org/W4224272924","https://openalex.org/W4224938441","https://openalex.org/W4229497514","https://openalex.org/W4292156591","https://openalex.org/W4385715081","https://openalex.org/W6855039892"],"related_works":["https://openalex.org/W4250831671","https://openalex.org/W2230606337","https://openalex.org/W2089869689","https://openalex.org/W4388681848","https://openalex.org/W2078952919","https://openalex.org/W2945666329","https://openalex.org/W2617651062","https://openalex.org/W2330535098","https://openalex.org/W2377513064","https://openalex.org/W4394824137"],"abstract_inverted_index":{"Dynamical":[0],"properties":[1,25,104,125],"of":[2,12,22,26,52,69,105,126],"numerically":[3,57],"approximated":[4,58,127],"discrete":[5,34],"systems":[6,32,109,129],"may":[7,73],"become":[8],"inconsistent":[9],"with":[10,133],"those":[11],"the":[13,23,50,70,75,95,106,116,134],"corresponding":[14,96,135],"continuous-time":[15,53,97,136],"system.":[16,98],"We":[17,99],"present":[18],"a":[19],"qualitative":[20],"analysis":[21,120],"dynamical":[24,88,103,124],"two-species":[27],"Lotka-Volterra":[28],"and":[29,35,55],"Ricker-type":[30,107],"predator-prey":[31,108],"under":[33,110],"continuous":[36],"settings.":[37],"By":[38],"creating":[39],"an":[40,79],"arbitrary":[41],"time":[42,81],"discretisation,":[43],"we":[44,61],"obtain":[45],"stability":[46],"conditions":[47],"that":[48,63],"preserve":[49],"characteristics":[51],"models":[54],"their":[56],"systems.":[59,137],"Here,":[60],"show":[62],"even":[64],"small":[65],"changes":[66],"to":[67,85,90,121],"some":[68],"model":[71],"parameters":[72],"alter":[74],"system":[76],"dynamics":[77],"unless":[78],"appropriate":[80],"discretisation":[82],"is":[83,92],"chosen":[84],"return":[86],"similar":[87,102],"behaviour":[89],"what":[91],"observed":[93],"in":[94],"also":[100],"found":[101],"certain":[111],"conditions.":[112],"Our":[113],"results":[114],"demonstrate":[115],"need":[117],"for":[118],"preliminary":[119],"identify":[122],"which":[123],"discretised":[128],"agree":[130],"or":[131],"disagree":[132]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2023-04-20T00:00:00"}