{"id":"https://openalex.org/W4404320289","doi":"https://doi.org/10.3390/axioms13110783","title":"The Stability of a Predator\u2013Prey Model with Cross-Dispersal in a Multi-Patch Environment","display_name":"The Stability of a Predator\u2013Prey Model with Cross-Dispersal in a Multi-Patch Environment","publication_year":2024,"publication_date":"2024-11-13","ids":{"openalex":"https://openalex.org/W4404320289","doi":"https://doi.org/10.3390/axioms13110783"},"language":"en","primary_location":{"id":"doi:10.3390/axioms13110783","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/axioms13110783","pdf_url":null,"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":"http://dx.doi.org/10.3390/axioms13110783","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061066944","display_name":"Kexin Xu","orcid":"https://orcid.org/0000-0001-7389-0874"},"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":false,"raw_author_name":"Keyao Xu","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"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081768224","display_name":"Keyu Peng","orcid":"https://orcid.org/0009-0004-2438-726X"},"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":false,"raw_author_name":"Keyu Peng","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"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034583139","display_name":"Shang Gao","orcid":"https://orcid.org/0000-0002-6554-5285"},"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":"Shang Gao","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":3,"corresponding_author_ids":["https://openalex.org/A5034583139"],"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":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.31413172,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":"11","first_page":"783","last_page":"783"},"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":0.9868000149726868,"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":0.9868000149726868,"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":0.9606999754905701,"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":0.9258000254631042,"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/biological-dispersal","display_name":"Biological dispersal","score":0.7637485265731812},{"id":"https://openalex.org/keywords/predation","display_name":"Predation","score":0.7625284194946289},{"id":"https://openalex.org/keywords/predator","display_name":"Predator","score":0.7624382376670837},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.681443452835083},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.5134821534156799},{"id":"https://openalex.org/keywords/environmental-science","display_name":"Environmental science","score":0.39954257011413574},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.3425114154815674},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3289899230003357},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18111109733581543},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.08570882678031921},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.06596514582633972},{"id":"https://openalex.org/keywords/sociology","display_name":"Sociology","score":0.06219717860221863}],"concepts":[{"id":"https://openalex.org/C47559259","wikidata":"https://www.wikidata.org/wiki/Q778143","display_name":"Biological dispersal","level":3,"score":0.7637485265731812},{"id":"https://openalex.org/C188382862","wikidata":"https://www.wikidata.org/wiki/Q170430","display_name":"Predation","level":2,"score":0.7625284194946289},{"id":"https://openalex.org/C96857902","wikidata":"https://www.wikidata.org/wiki/Q2138108","display_name":"Predator","level":3,"score":0.7624382376670837},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.681443452835083},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.5134821534156799},{"id":"https://openalex.org/C39432304","wikidata":"https://www.wikidata.org/wiki/Q188847","display_name":"Environmental science","level":0,"score":0.39954257011413574},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.3425114154815674},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3289899230003357},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18111109733581543},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.08570882678031921},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.06596514582633972},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.06219717860221863},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms13110783","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/axioms13110783","pdf_url":null,"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:f432172834b144a3a43a02aae7b94dbf","is_oa":true,"landing_page_url":"https://doaj.org/article/f432172834b144a3a43a02aae7b94dbf","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 13, Iss 11, p 783 (2024)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/13/11/783/","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13110783","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","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms13110783","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/axioms13110783","pdf_url":null,"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":[{"score":0.6499999761581421,"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1992640600","https://openalex.org/W2042586339","https://openalex.org/W2053150903","https://openalex.org/W2069994241","https://openalex.org/W2131867692","https://openalex.org/W2164727176","https://openalex.org/W2333308905","https://openalex.org/W2437463227","https://openalex.org/W2750008673","https://openalex.org/W2909399868","https://openalex.org/W2980364587","https://openalex.org/W3190824772","https://openalex.org/W3217160610","https://openalex.org/W4248220600","https://openalex.org/W4388552524","https://openalex.org/W6702472348"],"related_works":["https://openalex.org/W2168669462","https://openalex.org/W2192426841","https://openalex.org/W2067000585","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":{"This":[0],"paper":[1],"investigates":[2],"the":[3,16,36,41,91,96],"stability":[4,47,62],"of":[5,18,43,71,95],"predator\u2013prey":[6],"models":[7],"within":[8],"multi-patch":[9],"environments,":[10],"with":[11],"a":[12,59],"particular":[13],"focus":[14],"on":[15],"influence":[17],"cross-dispersion":[19,37,72],"across":[20,98],"patches.":[21,100],"We":[22],"apply":[23],"Kirchhoff\u2019s":[24],"matrix":[25],"tree":[26],"theorem":[27],"and":[28,55,77,89,93],"Liapunov\u2019s":[29],"method":[30,50],"to":[31,35],"derive":[32],"criteria":[33],"related":[34],"topology,":[38],"thus":[39],"solving":[40],"challenge":[42],"determining":[44],"global":[45],"asymptotic":[46],"conditions.":[48],"The":[49],"incorporates":[51],"realistic":[52],"ecological":[53],"interactions":[54],"spatial":[56],"heterogeneity,":[57],"offering":[58],"framework":[60],"for":[61],"analysis.":[63],"Our":[64],"findings":[65],"demonstrate":[66,90],"that":[67],"an":[68],"appropriate":[69],"level":[70],"can":[73],"effectively":[74],"mitigate":[75],"oscillations":[76],"foster":[78],"convergence":[79],"toward":[80],"equilibrium.":[81],"Two":[82],"numerical":[83],"examples":[84],"validate":[85],"these":[86],"theoretical":[87],"results":[88],"feasibility":[92],"effectiveness":[94],"model":[97],"multiple":[99]},"counts_by_year":[],"updated_date":"2025-12-19T19:40:27.379048","created_date":"2025-10-10T00:00:00"}
