{"id":"https://openalex.org/W7225312847","doi":"https://doi.org/10.20944/preprints202611.0583.v1","title":"Kirchhoff Migration, Slow--Fast Reduction, and Volterra--Lyapunov Functions in Spatial Fisheries, as Applications of Jacobian Triangularity on Siphon Faces","display_name":"Kirchhoff Migration, Slow--Fast Reduction, and Volterra--Lyapunov Functions in Spatial Fisheries, as Applications of Jacobian Triangularity on Siphon Faces","publication_year":2026,"publication_date":"2026-11-05","ids":{"openalex":"https://openalex.org/W7225312847","doi":"https://doi.org/10.20944/preprints202611.0583.v1"},"language":"en","primary_location":{"id":"doi:10.20944/preprints202611.0583.v1","doi":"https://doi.org/10.20944/preprints202611.0583.v1","is_oa":true,"landing_page_url":"https://doi.org/10.20944/preprints202611.0583.v1","pdf_url":null,"source":{"id":"https://openalex.org/S6309402219","display_name":"Preprints.org","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.20944/preprints202611.0583.v1","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5160549880","display_name":"Florin Avram","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Florin Avram","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5030954501","display_name":"Ali Moussaoui","orcid":"https://orcid.org/0000-0001-9630-0742","observed_orcids":["https://orcid.org/0000-0001-9630-0742"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ali Moussaoui","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5160549880"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"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":1.0,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13377","display_name":"Ecosystem dynamics and resilience","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/kirchhoff-migration","display_name":"Kirchhoff migration","score":0.9309999942779541},{"id":"https://openalex.org/keywords/perron-frobenius-theory","display_name":"Perron-Frobenius theory","score":0.9089999794960022},{"id":"https://openalex.org/keywords/maximum-sustainable-yield","display_name":"maximum sustainable yield","score":0.9890000224113464},{"id":"https://openalex.org/keywords/predator-persistence","display_name":"predator persistence","score":0.8920000195503235},{"id":"https://openalex.org/keywords/coexistence-stability","display_name":"coexistence stability","score":0.7049999833106995},{"id":"https://openalex.org/keywords/predator-prey-competition","display_name":"predator-prey competition","score":0.6700000166893005},{"id":"https://openalex.org/keywords/consumer-resource-model","display_name":"consumer-resource model","score":0.6570000052452087}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6148999929428101},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.598800003528595},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5562000274658203},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5037999749183655},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.4652000069618225},{"id":"https://openalex.org/C2776823524","wikidata":"https://www.wikidata.org/wiki/Q6073561","display_name":"Irreducibility","level":2,"score":0.41280001401901245},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39980000257492065},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3968999981880188},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.3750999867916107},{"id":"https://openalex.org/C204036174","wikidata":"https://www.wikidata.org/wiki/Q909380","display_name":"Stock (firearms)","level":2,"score":0.3578000068664551},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.32910001277923584},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32429999113082886},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3199000060558319},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.311599999666214},{"id":"https://openalex.org/C155673373","wikidata":"https://www.wikidata.org/wiki/Q1648886","display_name":"Structural stability","level":2,"score":0.30480000376701355},{"id":"https://openalex.org/C188382862","wikidata":"https://www.wikidata.org/wiki/Q170430","display_name":"Predation","level":2,"score":0.304500013589859},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.30149999260902405},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.2985999882221222},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.2964000105857849},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.2939999997615814},{"id":"https://openalex.org/C514101110","wikidata":"https://www.wikidata.org/wiki/Q14373","display_name":"Fishing","level":2,"score":0.29319998621940613},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.2815999984741211},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.25609999895095825}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.20944/preprints202611.0583.v1","doi":"https://doi.org/10.20944/preprints202611.0583.v1","is_oa":true,"landing_page_url":"https://doi.org/10.20944/preprints202611.0583.v1","pdf_url":null,"source":{"id":"https://openalex.org/S6309402219","display_name":"Preprints.org","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"}],"best_oa_location":{"id":"doi:10.20944/preprints202611.0583.v1","doi":"https://doi.org/10.20944/preprints202611.0583.v1","is_oa":true,"landing_page_url":"https://doi.org/10.20944/preprints202611.0583.v1","pdf_url":null,"source":{"id":"https://openalex.org/S6309402219","display_name":"Preprints.org","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4404530049","https://openalex.org/W4404089986","https://openalex.org/W4283381468","https://openalex.org/W4406752652","https://openalex.org/W4405876889","https://openalex.org/W7223113981","https://openalex.org/W7225339596","https://openalex.org/W2507599286","https://openalex.org/W2410131250","https://openalex.org/W3096873502"],"abstract_inverted_index":{"Animal":[0],"movement":[1],"among":[2],"fishing":[3],"grounds,":[4],"protected":[5],"areas":[6],"and":[7,16,57,70,94,121,147,183],"habitat":[8],"fragments":[9],"is":[10,86,100],"often":[11],"fast":[12,23],"compared":[13],"with":[14,22,50],"growth":[15,45],"harvesting.":[17],"We":[18],"study":[19],"multi-patch":[20],"models":[21],"migration,":[24],"described":[25],"by":[26,74,88],"irreducible":[27],"Kirchhoff":[28],"matrices.":[29],"The":[30],"main":[31],"results":[32],"are:":[33],"(1)":[34],"invasion":[35,55,128],"exponents":[36],"at":[37,156],"boundary":[38],"equilibria":[39],"equal":[40],"Perron-weighted":[41],"averages":[42],"of":[43,91,151,177],"local":[44,58],"rates":[46],"to":[47,64,166],"leading":[48],"order,":[49],"explicit":[51],"second-order":[52],"corrections,":[53],"so":[54],"signs":[56],"stability":[59],"transfer":[60],"from":[61],"the":[62,65,81,89,149,152,173],"reduced":[63],"full":[66],"system":[67],"(singular":[68],"perturbation":[69],"Perron--Frobenius":[71],"theory,":[72],"organised":[73],"siphon":[75],"faces);":[76],"(2)":[77],"for":[78,132,160],"Schaefer":[79],"fisheries,":[80],"connected":[82],"maximum":[83],"sustainable":[84],"yield":[85],"bounded":[87],"sum":[90],"isolated":[92,119],"yields,":[93],"optimal":[95],"migration":[96,158],"under":[97],"corridor-rate":[98],"limits":[99],"a":[101,110,139],"convex":[102],"quadratic":[103],"program;":[104],"(3)":[105],"connecting":[106],"patches":[107],"can":[108,124],"let":[109],"predator":[111,134],"persist":[112,116],"although":[113],"it":[114],"cannot":[115],"on":[117,172],"any":[118],"patch,":[120],"saturating":[122],"predation":[123],"destabilize":[125],"coexistence":[126],"while":[127],"remains":[129],"possible;":[130],"(4)":[131],"several":[133],"stocks":[135],"sharing":[136,168],"one":[137],"prey,":[138],"single":[140],"Volterra":[141],"identity":[142],"decides":[143],"which":[144],"stock":[145],"survives":[146],"bounds":[148],"catch":[150],"losing":[153],"stocks,":[154],"including":[155],"every":[157],"speed":[159],"balanced":[161],"migration;":[162],"(5)":[163],"an":[164],"extension":[165],"consumers":[167],"recycled":[169],"resources,":[170],"building":[171],"microbial":[174],"consumer--resource":[175],"model":[176],"Faul,":[178],"Richard,":[179],"Van":[180],"der":[181],"Meer":[182],"Mazza.":[184]},"counts_by_year":[],"updated_date":"2026-11-09T13:22:03.289127","created_date":"2026-11-06T00:00:00"}
