{"id":"https://openalex.org/W4361008135","doi":"https://doi.org/10.3390/a16040180","title":"Blow-Up Dynamics and Synchronization in Tri-Trophic Food Chain Models","display_name":"Blow-Up Dynamics and Synchronization in Tri-Trophic Food Chain Models","publication_year":2023,"publication_date":"2023-03-27","ids":{"openalex":"https://openalex.org/W4361008135","doi":"https://doi.org/10.3390/a16040180"},"language":"en","primary_location":{"id":"doi:10.3390/a16040180","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a16040180","pdf_url":"https://www.mdpi.com/1999-4893/16/4/180/pdf?version=1679900945","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"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":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/16/4/180/pdf?version=1679900945","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041881424","display_name":"Eric M. Takyi","orcid":"https://orcid.org/0000-0002-6398-6845"},"institutions":[{"id":"https://openalex.org/I177753169","display_name":"Ursinus College","ror":"https://ror.org/02jqn4a25","country_code":"US","type":"education","lineage":["https://openalex.org/I177753169"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eric M. Takyi","raw_affiliation_strings":["Department of Mathematics and Computer Science, Ursinus College, Collegeville, PA 19426, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Ursinus College, Collegeville, PA 19426, USA","institution_ids":["https://openalex.org/I177753169"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070959329","display_name":"Rana D. Parshad","orcid":"https://orcid.org/0000-0003-4434-0034"},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Rana D. Parshad","raw_affiliation_strings":["Department of Mathematics, Iowa State University, Ames, IA 50011, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Iowa State University, Ames, IA 50011, USA","institution_ids":["https://openalex.org/I173911158"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057571671","display_name":"Ranjit Kumar Upadhyay","orcid":"https://orcid.org/0000-0002-1210-7804"},"institutions":[{"id":"https://openalex.org/I189109744","display_name":"Indian Institute of Technology Dhanbad","ror":"https://ror.org/013v3cc28","country_code":"IN","type":"education","lineage":["https://openalex.org/I189109744"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Ranjit Kumar Upadhyay","raw_affiliation_strings":["Department of Mathematics and Computing, Indian Institute of Technology (ISM), Dhanbad 826004, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computing, Indian Institute of Technology (ISM), Dhanbad 826004, India","institution_ids":["https://openalex.org/I189109744"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102762904","display_name":"Vikas Rai","orcid":"https://orcid.org/0000-0001-7301-7872"},"institutions":[{"id":"https://openalex.org/I152429107","display_name":"Jawaharlal Nehru University","ror":"https://ror.org/0567v8t28","country_code":"IN","type":"education","lineage":["https://openalex.org/I152429107"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Vikas Rai","raw_affiliation_strings":["School of Computational and Integrative Sciences, Jawaharlal Nehru University, New Delhi 110067, India"],"affiliations":[{"raw_affiliation_string":"School of Computational and Integrative Sciences, Jawaharlal Nehru University, New Delhi 110067, India","institution_ids":["https://openalex.org/I152429107"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5070959329"],"corresponding_institution_ids":["https://openalex.org/I173911158"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.2003,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.45290747,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"16","issue":"4","first_page":"180","last_page":"180"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11913","display_name":"Animal Ecology and Behavior Studies","score":0.9952999949455261,"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"}},{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.993399977684021,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.7781575918197632},{"id":"https://openalex.org/keywords/trophic-level","display_name":"Trophic level","score":0.7635179758071899},{"id":"https://openalex.org/keywords/food-chain","display_name":"Food chain","score":0.6783140897750854},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.5710465312004089},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.5498096346855164},{"id":"https://openalex.org/keywords/chain","display_name":"Chain (unit)","score":0.5341061353683472},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5202645063400269},{"id":"https://openalex.org/keywords/population-model","display_name":"Population model","score":0.5005965232849121},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.4811778962612152},{"id":"https://openalex.org/keywords/predation","display_name":"Predation","score":0.48083624243736267},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4527653455734253},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4389949440956116},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.34309685230255127},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.3417532444000244},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.24000489711761475},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20693865418434143},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.0831051766872406},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.081340491771698},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.075092613697052}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.7781575918197632},{"id":"https://openalex.org/C72958200","wikidata":"https://www.wikidata.org/wiki/Q1053008","display_name":"Trophic level","level":2,"score":0.7635179758071899},{"id":"https://openalex.org/C155373166","wikidata":"https://www.wikidata.org/wiki/Q159462","display_name":"Food chain","level":2,"score":0.6783140897750854},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.5710465312004089},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.5498096346855164},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.5341061353683472},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5202645063400269},{"id":"https://openalex.org/C52079815","wikidata":"https://www.wikidata.org/wiki/Q7229808","display_name":"Population model","level":3,"score":0.5005965232849121},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.4811778962612152},{"id":"https://openalex.org/C188382862","wikidata":"https://www.wikidata.org/wiki/Q170430","display_name":"Predation","level":2,"score":0.48083624243736267},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4527653455734253},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4389949440956116},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.34309685230255127},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.3417532444000244},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.24000489711761475},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20693865418434143},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0831051766872406},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.081340491771698},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.075092613697052},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/a16040180","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a16040180","pdf_url":"https://www.mdpi.com/1999-4893/16/4/180/pdf?version=1679900945","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"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":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:c58e7c52f73d4eac93fd9ffb101d6de5","is_oa":true,"landing_page_url":"https://doaj.org/article/c58e7c52f73d4eac93fd9ffb101d6de5","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":"Algorithms, Vol 16, Iss 4, p 180 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1999-4893/16/4/180/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/a16040180","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":"Algorithms; Volume 16; Issue 4; Pages: 180","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/a16040180","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a16040180","pdf_url":"https://www.mdpi.com/1999-4893/16/4/180/pdf?version=1679900945","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"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":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4361008135.pdf"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W261461018","https://openalex.org/W950991549","https://openalex.org/W1529443609","https://openalex.org/W1970442252","https://openalex.org/W1977672565","https://openalex.org/W1980480824","https://openalex.org/W1983381516","https://openalex.org/W1988692696","https://openalex.org/W1989019560","https://openalex.org/W1990104354","https://openalex.org/W2014950508","https://openalex.org/W2020199955","https://openalex.org/W2022666585","https://openalex.org/W2027944544","https://openalex.org/W2030392367","https://openalex.org/W2030453979","https://openalex.org/W2054402839","https://openalex.org/W2059269087","https://openalex.org/W2059460735","https://openalex.org/W2061445845","https://openalex.org/W2061461387","https://openalex.org/W2086597250","https://openalex.org/W2094276030","https://openalex.org/W2104712791","https://openalex.org/W2141564052","https://openalex.org/W2154953441","https://openalex.org/W2163894214","https://openalex.org/W2592510893","https://openalex.org/W2768464843","https://openalex.org/W2914781529","https://openalex.org/W2936734557","https://openalex.org/W4220666895","https://openalex.org/W4229738802","https://openalex.org/W4281727268"],"related_works":["https://openalex.org/W4385883951","https://openalex.org/W4386071056","https://openalex.org/W2899812976","https://openalex.org/W2107072362","https://openalex.org/W2955144829","https://openalex.org/W87899229","https://openalex.org/W2780987466","https://openalex.org/W1982665354","https://openalex.org/W2999467666","https://openalex.org/W199402907"],"abstract_inverted_index":{"Synchronization":[0],"of":[1,95,135],"food":[2,19,164],"chain":[3,20],"models":[4,15,52,67],"is":[5,99],"an":[6],"intensely":[7],"investigated":[8],"area":[9],"in":[10,16,49,88,144,150,162],"dynamical":[11],"systems.":[12,153],"Two":[13],"pioneering":[14],"three":[17],"species":[18],"systems":[21,98],"exhibiting":[22],"chaotic":[23],"dynamics":[24,86],"are":[25,40],"the":[26,33,46,50,56,63,84,89,93,116,133,142,145,151],"Hastings":[27],"and":[28,32,35,65],"Powell":[29],"(HP)":[30],"model":[31,97,119,152],"Upadhyay":[34],"Rai":[36],"(UR)":[37],"model.":[38,91],"These":[39],"known":[41],"to":[42,83,141,159],"synchronize,":[43],"even":[44],"though":[45],"top":[47,146],"predators":[48],"two":[51],"behave":[53],"differently.":[54],"In":[55],"current":[57],"manuscript,":[58],"we":[59,108],"show":[60],"that":[61,110],"although":[62],"HP":[64],"UR":[66,90,118],"synchronize":[68,76],"for":[69,77,115,127],"certain":[70],"initial":[71,80,104,130],"conditions,":[72],"they":[73],"do":[74],"not":[75],"arbitrarily":[78],"large":[79],"conditions":[81],"due":[82],"blow-up":[85],"present":[87],"Thus,":[92,132],"synchronization":[94],"these":[96],"purely":[100],"a":[101,111],"local":[102],"(in":[103],"data)":[105],"phenomenon.":[106],"Interestingly,":[107],"find":[109],"similar":[112],"result":[113],"holds":[114],"modified":[117],"as":[120],"well,":[121],"which":[122],"has":[123],"global":[124],"in-time":[125],"solutions":[126],"any":[128],"positive":[129],"condition.":[131],"lack":[134],"synchrony":[136,161],"could":[137],"also":[138],"be":[139],"attributed":[140],"difference":[143],"predator\u2019s":[147],"feeding":[148],"preferences":[149],"Our":[154],"results":[155],"have":[156],"large-scale":[157],"applications":[158],"population":[160],"tri-trophic":[163],"chains.":[165]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-02-28T09:26:25.869077","created_date":"2023-03-30T00:00:00"}
