{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,9]],"date-time":"2025-11-09T10:57:25Z","timestamp":1762685845979,"version":"3.40.5"},"reference-count":28,"publisher":"IOP Publishing","issue":"5","license":[{"start":{"date-parts":[[2025,5,7]],"date-time":"2025-05-07T00:00:00Z","timestamp":1746576000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"},{"start":{"date-parts":[[2025,5,7]],"date-time":"2025-05-07T00:00:00Z","timestamp":1746576000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/iopscience.iop.org\/info\/page\/text-and-data-mining"}],"funder":[{"name":"FCT - Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","award":["UID\/04561\/2025"],"award-info":[{"award-number":["UID\/04561\/2025"]}]}],"content-domain":{"domain":["iopscience.iop.org"],"crossmark-restriction":false},"short-container-title":["Nonlinearity"],"published-print":{"date-parts":[[2025,5,31]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>A nonautonomous periodic chemostat model with delays modelling <jats:italic>n<\/jats:italic> species in competition is considered. Sufficient conditions on the coefficients and consumption functions for the species are given, for both the extinction of the species and for the existence of <jats:italic>n<\/jats:italic> nontrivial and nonnegative periodic solutions. Further criteria guarantee that the system admits at least one strictly positive periodic solution.<\/jats:p>","DOI":"10.1088\/1361-6544\/adcfe7","type":"journal-article","created":{"date-parts":[[2025,5,7]],"date-time":"2025-05-07T09:18:53Z","timestamp":1746609533000},"page":"055023","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Periodic solutions for a delayed competitive chemostat model with periodic nutrient input and rate"],"prefix":"10.1088","volume":"38","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2656-263X","authenticated-orcid":true,"given":"Teresa","family":"Faria","sequence":"first","affiliation":[]}],"member":"266","published-online":{"date-parts":[[2025,5,7]]},"reference":[{"key":"nonadcfe7bib1","author":"Agarwal","year":"2001"},{"key":"nonadcfe7bib2","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2020.103134","article-title":"Existence of \u03c9-periodic solutions for a delayed chemostat with periodic inputs","volume":"55","author":"Amster","year":"2020","journal-title":"Nonlinear Anal.: Real World Appl."},{"key":"nonadcfe7bib3","doi-asserted-by":"publisher","first-page":"5839","DOI":"10.1088\/1361-6544\/ab9bab","article-title":"Dynamics of a chemostat with periodic nutrient supply and delay in the growth","volume":"33","author":"Amster","year":"2020","journal-title":"Nonlinearity"},{"key":"nonadcfe7bib4","author":"Bellman","year":"1953"},{"key":"nonadcfe7bib5","first-page":"2283-2-296","article-title":"Chemostats with time-dependent inputs and wall growth","volume":"9","author":"Caraballo","year":"2015","journal-title":"Appl. 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