{"id":"https://openalex.org/W4415620672","doi":"https://doi.org/10.1142/s0218127426500069","title":"Prey Refugia as a Mechanism for Ecological Resilience: A Mathematical and Numerical Analysis Through Isospike Diagrams","display_name":"Prey Refugia as a Mechanism for Ecological Resilience: A Mathematical and Numerical Analysis Through Isospike Diagrams","publication_year":2025,"publication_date":"2025-10-25","ids":{"openalex":"https://openalex.org/W4415620672","doi":"https://doi.org/10.1142/s0218127426500069"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127426500069","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127426500069","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014222686","display_name":"Anupam Priyadarshi","orcid":"https://orcid.org/0009-0000-8761-2939"},"institutions":[{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Anupam Priyadarshi","raw_affiliation_strings":["Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi 221005, India"],"raw_orcid":"https://orcid.org/0009-0000-8761-2939","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi 221005, India","institution_ids":["https://openalex.org/I91357014"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111139918","display_name":"Satyabhan Singh","orcid":"https://orcid.org/0009-0007-2228-2079"},"institutions":[{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Satyabhan Singh","raw_affiliation_strings":["Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi 221005, India"],"raw_orcid":"https://orcid.org/0009-0007-2228-2079","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi 221005, India","institution_ids":["https://openalex.org/I91357014"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028038027","display_name":"P. P. Gupta","orcid":"https://orcid.org/0009-0006-7162-8358"},"institutions":[{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Prajjwal Gupta","raw_affiliation_strings":["Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi 221005, India"],"raw_orcid":"https://orcid.org/0009-0006-7162-8358","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi 221005, India","institution_ids":["https://openalex.org/I91357014"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090339776","display_name":"Nitin Sharma","orcid":"https://orcid.org/0000-0001-5422-8869"},"institutions":[{"id":"https://openalex.org/I8778637","display_name":"National Institute of Technology Srinagar","ror":"https://ror.org/03sfwvw54","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210152752","https://openalex.org/I8778637"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Nitin Sharma","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology, Uttarakhand, Srinagar, Pauri (Garhwal)-246174, India"],"raw_orcid":"https://orcid.org/0000-0001-5422-8869","affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology, Uttarakhand, Srinagar, Pauri (Garhwal)-246174, India","institution_ids":["https://openalex.org/I8778637"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3895,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.85331671,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"36","issue":"01","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":0.5681999921798706,"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":0.5681999921798706,"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/T13377","display_name":"Ecosystem dynamics and resilience","score":0.23389999568462372,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.03240000084042549,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/trophic-level","display_name":"Trophic level","score":0.6679999828338623},{"id":"https://openalex.org/keywords/food-web","display_name":"Food web","score":0.5759000182151794},{"id":"https://openalex.org/keywords/predation","display_name":"Predation","score":0.5138999819755554},{"id":"https://openalex.org/keywords/mechanism","display_name":"Mechanism (biology)","score":0.5097000002861023},{"id":"https://openalex.org/keywords/ecosystem","display_name":"Ecosystem","score":0.45739999413490295},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.45399999618530273},{"id":"https://openalex.org/keywords/ecological-stability","display_name":"Ecological stability","score":0.4253999888896942},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.3968000113964081},{"id":"https://openalex.org/keywords/extinction","display_name":"Extinction (optical mineralogy)","score":0.39399999380111694},{"id":"https://openalex.org/keywords/ecological-systems-theory","display_name":"Ecological systems theory","score":0.39100000262260437}],"concepts":[{"id":"https://openalex.org/C72958200","wikidata":"https://www.wikidata.org/wiki/Q1053008","display_name":"Trophic level","level":2,"score":0.6679999828338623},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.6467999815940857},{"id":"https://openalex.org/C109931610","wikidata":"https://www.wikidata.org/wiki/Q1775153","display_name":"Food web","level":3,"score":0.5759000182151794},{"id":"https://openalex.org/C188382862","wikidata":"https://www.wikidata.org/wiki/Q170430","display_name":"Predation","level":2,"score":0.5138999819755554},{"id":"https://openalex.org/C89611455","wikidata":"https://www.wikidata.org/wiki/Q6804646","display_name":"Mechanism (biology)","level":2,"score":0.5097000002861023},{"id":"https://openalex.org/C110872660","wikidata":"https://www.wikidata.org/wiki/Q37813","display_name":"Ecosystem","level":2,"score":0.45739999413490295},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.45399999618530273},{"id":"https://openalex.org/C34506677","wikidata":"https://www.wikidata.org/wiki/Q5333257","display_name":"Ecological stability","level":3,"score":0.4253999888896942},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.3968000113964081},{"id":"https://openalex.org/C101991246","wikidata":"https://www.wikidata.org/wiki/Q5422078","display_name":"Extinction (optical mineralogy)","level":2,"score":0.39399999380111694},{"id":"https://openalex.org/C47318914","wikidata":"https://www.wikidata.org/wiki/Q295872","display_name":"Ecological systems theory","level":2,"score":0.39100000262260437},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.367900013923645},{"id":"https://openalex.org/C49539007","wikidata":"https://www.wikidata.org/wiki/Q7782365","display_name":"Theoretical ecology","level":3,"score":0.350600004196167},{"id":"https://openalex.org/C126701199","wikidata":"https://www.wikidata.org/wiki/Q264224","display_name":"Complex dynamics","level":2,"score":0.35010001063346863},{"id":"https://openalex.org/C36811481","wikidata":"https://www.wikidata.org/wiki/Q5333246","display_name":"Ecological network","level":3,"score":0.3441999852657318},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.3400999903678894},{"id":"https://openalex.org/C155373166","wikidata":"https://www.wikidata.org/wiki/Q159462","display_name":"Food chain","level":2,"score":0.3377000093460083},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.3343999981880188},{"id":"https://openalex.org/C12064787","wikidata":"https://www.wikidata.org/wiki/Q4736552","display_name":"Alternative stable state","level":3,"score":0.32170000672340393},{"id":"https://openalex.org/C64107356","wikidata":"https://www.wikidata.org/wiki/Q295046","display_name":"Ecosystem model","level":3,"score":0.32089999318122864},{"id":"https://openalex.org/C173656711","wikidata":"https://www.wikidata.org/wiki/Q19067","display_name":"Apex predator","level":3,"score":0.31310001015663147},{"id":"https://openalex.org/C172606299","wikidata":"https://www.wikidata.org/wiki/Q7551073","display_name":"Social ecological model","level":2,"score":0.30970001220703125},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30889999866485596},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.29319998621940613},{"id":"https://openalex.org/C4590074","wikidata":"https://www.wikidata.org/wiki/Q5608096","display_name":"Community","level":3,"score":0.28999999165534973},{"id":"https://openalex.org/C137176749","wikidata":"https://www.wikidata.org/wiki/Q4105337","display_name":"Psychological resilience","level":2,"score":0.28619998693466187},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.2809999883174896},{"id":"https://openalex.org/C2780893879","wikidata":"https://www.wikidata.org/wiki/Q7308372","display_name":"Regime shift","level":3,"score":0.27059999108314514},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.2680000066757202},{"id":"https://openalex.org/C2781291010","wikidata":"https://www.wikidata.org/wiki/Q178580","display_name":"Period (music)","level":2,"score":0.2662999927997589},{"id":"https://openalex.org/C96857902","wikidata":"https://www.wikidata.org/wiki/Q2138108","display_name":"Predator","level":3,"score":0.26409998536109924},{"id":"https://openalex.org/C2781009140","wikidata":"https://www.wikidata.org/wiki/Q7170389","display_name":"Persistence (discontinuity)","level":2,"score":0.2621000111103058},{"id":"https://openalex.org/C39432304","wikidata":"https://www.wikidata.org/wiki/Q188847","display_name":"Environmental science","level":0,"score":0.26080000400543213}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127426500069","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127426500069","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321447","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1977738976","https://openalex.org/W2004671743","https://openalex.org/W2009948646","https://openalex.org/W2022666585","https://openalex.org/W2030605515","https://openalex.org/W2050000868","https://openalex.org/W2052125279","https://openalex.org/W2070770404","https://openalex.org/W2109677272","https://openalex.org/W2323845634","https://openalex.org/W2605308502","https://openalex.org/W2607202284","https://openalex.org/W2886981579","https://openalex.org/W2978135155","https://openalex.org/W3173167187","https://openalex.org/W3193588676","https://openalex.org/W4221129072","https://openalex.org/W4292955958","https://openalex.org/W4297918182","https://openalex.org/W4362668611","https://openalex.org/W4387911397","https://openalex.org/W4391002219","https://openalex.org/W4391426777","https://openalex.org/W4392406334","https://openalex.org/W4403081550","https://openalex.org/W4404918139","https://openalex.org/W4407758604","https://openalex.org/W4409178934"],"related_works":[],"abstract_inverted_index":{"Prey":[0],"refuge":[1,33,55,119,128,152],"is":[2,56],"widely":[3],"recognized":[4],"as":[5,66,196,224],"a":[6,48,67,73,197,225],"critical":[7],"ecological":[8,138,165,176,203,231],"mechanism":[9],"that":[10,104,117],"shapes":[11],"species":[12],"persistence":[13],"and":[14,29,89,123,156,186,192],"ecosystem":[15],"stability.":[16],"While":[17],"most":[18,216],"existing":[19],"studies":[20],"have":[21],"focused":[22],"on":[23,168],"lower-dimensional":[24],"predator\u2013prey":[25],"models,":[26],"the":[27,45,59,136,146,184,206,209],"stabilizing":[28,148,218],"destabilizing":[30],"roles":[31],"of":[32,47,75,86,140,150,188,212,227],"in":[34,53,215,229],"higher-dimensional":[35,154,202],"trophic":[36],"structures":[37],"remain":[38],"underexplored.":[39],"In":[40],"this":[41,141],"study,":[42],"we":[43,71],"investigate":[44],"dynamics":[46],"four-dimensional":[49],"diamond-shaped":[50],"food":[51,190],"web":[52],"which":[54],"incorporated":[57],"at":[58],"basal":[60],"prey":[61,151,213],"level.":[62],"Using":[63],"isospike":[64,194],"diagrams":[65,195],"novel":[68],"diagnostic":[69],"tool,":[70],"uncover":[72],"spectrum":[74],"complex":[76,189,230],"dynamical":[77,173],"behaviors,":[78],"including":[79],"shrimp-shaped":[80],"periodic":[81,94],"windows,":[82],"period":[83],"bubbling,":[84],"coexistence":[85],"multiple":[87],"attractors,":[88],"predator":[90,133],"extinction":[91],"scenarios.":[92],"These":[93,143],"windows":[95],"form":[96],"well-structured":[97],"islands":[98],"embedded":[99],"within":[100],"chaotic":[101],"regimes,":[102],"demonstrating":[103],"small":[105],"parameter":[106],"changes":[107],"can":[108],"recover":[109],"stability":[110],"from":[111],"apparent":[112],"randomness.":[113],"Our":[114],"results":[115],"reveal":[116],"moderate":[118],"levels":[120],"suppress":[121],"chaos":[122],"promote":[124],"equilibrium,":[125],"whereas":[126],"excessive":[127],"induces":[129],"oscillations":[130],"or":[131,163],"top":[132],"extinction,":[134],"underscoring":[135],"double-edged":[137],"role":[139,211],"mechanism.":[142],"findings":[144],"extend":[145],"classical":[147],"interpretation":[149],"to":[153,160],"systems":[155],"highlight":[157],"its":[158],"potential":[159],"either":[161],"buffer":[162],"destabilize":[164],"networks":[166],"depending":[167],"intensity.":[169],"By":[170],"integrating":[171],"nonlinear":[172],"analysis":[174],"with":[175],"interpretation,":[177],"our":[178],"work":[179],"provides":[180],"new":[181],"insights":[182],"into":[183],"resilience":[185],"fragility":[187],"webs":[191],"establishes":[193],"powerful":[198],"tool":[199],"for":[200],"exploring":[201],"models.":[204],"Overall,":[205],"study":[207],"highlights":[208],"dual":[210],"refuges:":[214],"cases":[217],"multitrophic":[219],"dynamics,":[220],"but":[221],"occasionally":[222],"acting":[223],"source":[226],"instability":[228],"networks.":[232]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-28T00:00:00"}
