{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,26]],"date-time":"2025-10-26T15:08:55Z","timestamp":1761491335813,"version":"build-2065373602"},"reference-count":24,"publisher":"IOP Publishing","issue":"1","license":[{"start":{"date-parts":[[2021,12,7]],"date-time":"2021-12-07T00:00:00Z","timestamp":1638835200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/publishingsupport.iopscience.iop.org\/iop-standard\/v1"},{"start":{"date-parts":[[2021,12,7]],"date-time":"2021-12-07T00:00:00Z","timestamp":1638835200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/iopscience.iop.org\/info\/page\/text-and-data-mining"}],"funder":[{"name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","award":["UIDB\/04561\/2020"],"award-info":[{"award-number":["UIDB\/04561\/2020"]}]}],"content-domain":{"domain":["iopscience.iop.org"],"crossmark-restriction":false},"short-container-title":["Nonlinearity"],"published-print":{"date-parts":[[2022,1,6]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>We consider a Nicholson\u2019s equation with multiple pairs of time-varying delays and nonlinear terms given by mixed monotone functions. Sufficient conditions for the permanence, local stability and global attractivity of its positive equilibrium <jats:italic>K<\/jats:italic> are established. The main novelty here is the construction of a suitable auxiliary difference equation <jats:italic>x<\/jats:italic>\n                  <jats:sub>\n                     <jats:italic>n<\/jats:italic>+1<\/jats:sub> = <jats:italic>h<\/jats:italic>(<jats:italic>x<\/jats:italic>\n                  <jats:sub>\n                     <jats:italic>n<\/jats:italic>\n                  <\/jats:sub>) with <jats:italic>h<\/jats:italic> having negative Schwarzian derivative, and its application to derive the attractivity of <jats:italic>K<\/jats:italic> for a model with one or more pairs of time-dependent delays. Our criteria depend on the size of some delays, improve results in recent literature and provide answers to open problems.<\/jats:p>","DOI":"10.1088\/1361-6544\/ac3c2a","type":"journal-article","created":{"date-parts":[[2021,12,10]],"date-time":"2021-12-10T11:01:46Z","timestamp":1639134106000},"page":"589-607","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":6,"title":["Global attractivity for a nonautonomous Nicholson\u2019s equation with mixed monotonicities"],"prefix":"10.1088","volume":"35","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2656-263X","authenticated-orcid":false,"given":"Teresa","family":"Faria","sequence":"first","affiliation":[]},{"given":"Henrique C","family":"Prates","sequence":"additional","affiliation":[]}],"member":"266","published-online":{"date-parts":[[2021,12,7]]},"reference":[{"key":"nonac3c2abib1","doi-asserted-by":"publisher","first-page":"317","DOI":"10.1016\/0025-5564(94)00078-e","type":"journal-article","article-title":"Age-structured and two-delay models for erythropoiesis","volume":"128","author":"B\u00e9lair","year":"1995","journal-title":"Math. 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All rights, including for text and data mining, AI training, and similar technologies, are reserved.","name":"copyright_information","label":"Copyright Information"},{"value":"2021-06-21","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2021-11-22","name":"date_accepted","label":"Date Accepted","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2021-12-07","name":"date_epub","label":"Online publication date","group":{"name":"publication_dates","label":"Publication dates"}}]}}