{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T19:02:04Z","timestamp":1790881324689,"version":"4.1.0"},"reference-count":39,"publisher":"American Physical Society (APS)","issue":"2","license":[{"start":{"date-parts":[[2026,8,5]],"date-time":"2026-08-05T00:00:00Z","timestamp":1785888000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/link.aps.org\/licenses\/aps-default-license"}],"funder":[{"DOI":"10.13039\/501100011033","name":"Agencia Estatal de Investigaci\u00f3n","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100011033","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004837","name":"Ministerio de Ciencia e Innovaci\u00f3n","doi-asserted-by":"publisher","award":["PID2021-125535NB-I00"],"award-info":[{"award-number":["PID2021-125535NB-I00"]}],"id":[{"id":"10.13039\/501100004837","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003359","name":"Generalitat Valenciana","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100003359","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.aps.org"],"crossmark-restriction":true},"short-container-title":["Phys. Rev. E"],"accepted":{"date-parts":[[2026,7,1]]},"DOI":"10.1103\/gyd9-ctnc","type":"journal-article","created":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T13:15:46Z","timestamp":1782911746000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Lag-induced critical transitions to extinction in replicating systems: the\n                    <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <mml:mi>\u03c4<\/mml:mi>\n                    <\/mml:math>\n                    -tipping mechanism"],"prefix":"10.1103","volume":"114","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2959-9227","authenticated-orcid":true,"given":"Edward A.","family":"Turner","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/00txsqk22","id-type":"ROR","asserted-by":"publisher"}],"name":"Universidad Vi\u00f1a del Mar"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5930-8523","authenticated-orcid":true,"given":"Francisco","family":"Crespo","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/010jskt71","id-type":"ROR","asserted-by":"publisher"}],"name":"Embry-Riddle Aeronautical University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8707-6379","authenticated-orcid":true,"given":"Joan","family":"Gimeno","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/021018s57","id-type":"ROR","asserted-by":"publisher"}],"name":"Universitat de Barcelona"},{"id":[{"id":"https:\/\/ror.org\/021018s57","id-type":"ROR","asserted-by":"publisher"}],"name":"UB"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2415-9310","authenticated-orcid":true,"given":"Ernest","family":"Fontich","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/021018s57","id-type":"ROR","asserted-by":"publisher"}],"name":"Universitat de Barcelona"},{"id":[{"id":"https:\/\/ror.org\/021018s57","id-type":"ROR","asserted-by":"publisher"}],"name":"UB"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8249-5593","authenticated-orcid":true,"given":"Santiago F.","family":"Elena","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/05jw4kp39","id-type":"ROR","asserted-by":"publisher"}],"name":"Institute for Integrative Systems Biology"},{"id":[{"id":"https:\/\/ror.org\/01arysc35","id-type":"ROR","asserted-by":"publisher"}],"name":"Santa Fe Institute"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7225-5158","authenticated-orcid":true,"given":"Josep","family":"Sardany\u00e9s","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/020s51w82","id-type":"ROR","asserted-by":"publisher"}],"name":"Centre de Recerca Matem\u00e0tica (CRM)"},{"id":[{"id":"https:\/\/ror.org\/020s51w82","id-type":"ROR","asserted-by":"publisher"}],"name":"CRM"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"16","published-online":{"date-parts":[[2026,8,5]]},"reference":[{"key":"gyd9-ctncCc1R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2005.09.024","type":"journal-article"},{"key":"gyd9-ctncCc2R1","doi-asserted-by":"publisher","DOI":"10.1007\/BF00623322","type":"journal-article"},{"key":"gyd9-ctncCc3R1","volume-title":"Advances in Chemical Physics","author":"M. Eigen","year":"1989","type":"book"},{"key":"gyd9-ctncCc4R1","doi-asserted-by":"publisher","DOI":"10.1128\/MMBR.05023-11","type":"journal-article"},{"key":"gyd9-ctncCc5R1","doi-asserted-by":"publisher","DOI":"10.1038\/s44298-024-00066-w","type":"journal-article"},{"key":"gyd9-ctncCc6R1","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.96.4.1492","type":"journal-article"},{"key":"gyd9-ctncCc7R1","doi-asserted-by":"publisher","DOI":"10.1128\/JVI.01624-06","type":"journal-article"},{"key":"gyd9-ctncCc8R1","doi-asserted-by":"publisher","DOI":"10.1007\/s00249-018-1282-6","type":"journal-article"},{"key":"gyd9-ctncCc9R1","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.212514799","type":"journal-article"},{"key":"gyd9-ctncCc10R1","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pgen.1008271","type":"journal-article"},{"key":"gyd9-ctncCc11R1","doi-asserted-by":"publisher","DOI":"10.1128\/JVI.01031-17","type":"journal-article"},{"key":"gyd9-ctncCc12R1","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.111085598","type":"journal-article"},{"key":"gyd9-ctncCc13R1","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pcbi.1002684","type":"journal-article"},{"key":"gyd9-ctncCc14R1","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0408871102","type":"journal-article"},{"key":"gyd9-ctncCc15R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41598-018-19829-6","type":"journal-article"},{"key":"gyd9-ctncCc16R1","doi-asserted-by":"publisher","DOI":"10.1128\/JVI.01606-06","type":"journal-article"},{"key":"gyd9-ctncCc17R1","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pone.0071039","type":"journal-article"},{"key":"gyd9-ctncCc18R1","doi-asserted-by":"publisher","DOI":"10.1128\/JVI.02346-12","type":"journal-article"},{"key":"gyd9-ctncCc19R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41594-021-00651-0","type":"journal-article"},{"key":"gyd9-ctncCc20R1","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pcbi.0010061","type":"journal-article"},{"key":"gyd9-ctncCc21R1","doi-asserted-by":"publisher","DOI":"10.1016\/0301-4622(82)87037-3","type":"journal-article"},{"key":"gyd9-ctncCc22R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2010.05.018","type":"journal-article"},{"key":"gyd9-ctncCc23R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2025.116037","type":"journal-article"},{"key":"gyd9-ctncCc24R1","unstructured":"Numerical integration of the DDEs has been performed with the Dormand-Prince Runge-Kutta scheme (order 4\/5) using the method of steps.","type":"other"},{"key":"gyd9-ctncCc25R1","doi-asserted-by":"publisher","DOI":"10.1128\/JVI.75.20.9723-9730.2001","type":"journal-article"},{"key":"gyd9-ctncCc26R1","doi-asserted-by":"publisher","DOI":"10.1128\/JVI.74.18.8316-8323.2000","type":"journal-article"},{"key":"gyd9-ctncCc27R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.96.032205","type":"journal-article"},{"key":"gyd9-ctncCc28R1","doi-asserted-by":"publisher","DOI":"10.1038\/srep21449","type":"journal-article"},{"key":"gyd9-ctncCc29R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.physrep.2014.02.007","type":"journal-article"},{"key":"gyd9-ctncCc31R1","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/abb549","type":"journal-article"},{"key":"gyd9-ctncCc32R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.biocon.2023.110433","type":"journal-article"},{"key":"gyd9-ctncCc33R1","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.2214055120","type":"journal-article"},{"key":"gyd9-ctncCc34R1","doi-asserted-by":"publisher","DOI":"10.1016\/B978-0-12-385987-7.00001-4","type":"journal-article"},{"key":"gyd9-ctncCc35R1","doi-asserted-by":"publisher","DOI":"10.3390\/v7082837","type":"journal-article"},{"key":"gyd9-ctncCc36R1","doi-asserted-by":"publisher","DOI":"10.1128\/JVI.01659-12","type":"journal-article"},{"key":"gyd9-ctncCc37R1","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.2411554122","type":"journal-article"},{"key":"gyd9-ctncCc38R1","doi-asserted-by":"publisher","DOI":"10.1128\/MCB.25.23.10556-10565.2005","type":"journal-article"},{"key":"gyd9-ctncCc39R1","doi-asserted-by":"publisher","DOI":"10.2217\/fvl.11.108","type":"journal-article"},{"key":"gyd9-ctncCc40R1","doi-asserted-by":"publisher","DOI":"10.1101\/gad.12.15.2293","type":"journal-article"}],"container-title":["Physical Review E"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.aps.org\/article\/10.1103\/gyd9-ctnc","content-type":"unspecified","content-version":"vor","intended-application":"syndication"},{"URL":"http:\/\/harvest.aps.org\/v2\/journals\/articles\/10.1103\/gyd9-ctnc\/fulltext","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T18:12:47Z","timestamp":1790878367000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.aps.org\/doi\/10.1103\/gyd9-ctnc"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,8,5]]},"references-count":39,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2026,8]]}},"URL":"https:\/\/doi.org\/10.1103\/gyd9-ctnc","relation":{},"ISSN":["2470-0045","2470-0053"],"issn-type":[{"value":"2470-0045","type":"print"},{"value":"2470-0053","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,8,5]]},"assertion":[{"value":"2026-01-21","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"\u00a92026 American Physical Society. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright_statement","label":"Copyright statement","group":{"name":"copyright","label":"copyright"}},{"value":"2026","name":"copyright_year","label":"Copyright year","group":{"name":"copyright","label":"copyright"}},{"value":"American Physical Society","name":"copyright_holder","label":"Copyright holder","group":{"name":"copyright","label":"copyright"}}],"article-number":"024401"}}