{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,21]],"date-time":"2025-11-21T06:05:05Z","timestamp":1763705105619},"reference-count":28,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2016,2,1]],"date-time":"2016-02-01T00:00:00Z","timestamp":1454284800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"funder":[{"DOI":"10.13039\/501100003392","name":"Natural Science Foundation of Fujian Province","doi-asserted-by":"publisher","award":["2015J01012","2015J01019"],"award-info":[{"award-number":["2015J01012","2015J01019"]}],"id":[{"id":"10.13039\/501100003392","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Applied Mathematics and Computation"],"published-print":{"date-parts":[[2016,2]]},"DOI":"10.1016\/j.amc.2015.10.068","type":"journal-article","created":{"date-parts":[[2015,12,5]],"date-time":"2015-12-05T04:23:59Z","timestamp":1449289439000},"page":"119-124","update-policy":"http:\/\/dx.doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":20,"special_numbering":"C","title":["Extinction in two species nonautonomous nonlinear competitive system"],"prefix":"10.1016","volume":"274","author":[{"given":"Fengde","family":"Chen","sequence":"first","affiliation":[]},{"given":"Xiangdong","family":"Xie","sequence":"additional","affiliation":[]},{"given":"Zhanshuai","family":"Miao","sequence":"additional","affiliation":[]},{"given":"Liqiong","family":"Pu","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.amc.2015.10.068_bib0001","doi-asserted-by":"crossref","first-page":"684","DOI":"10.1016\/j.amc.2006.04.034","article-title":"Extinction in two dimensional nonautonomous Lotka\u2013Volterra systems with the effect of toxic substances","volume":"182","author":"Li","year":"2006","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/j.amc.2015.10.068_bib0002","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1016\/S0096-3003(97)00396-2","article-title":"Extinction in nonautonomous t-periodic competitive Lotka\u2013Volterra system","volume":"90","author":"Ahmad","year":"1998","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/j.amc.2015.10.068_bib0003","doi-asserted-by":"crossref","first-page":"2905","DOI":"10.1090\/S0002-9939-99-05083-2","article-title":"Extinction of species in nonautonomous Lotka-Volterra systems","volume":"127","author":"Ahmad","year":"1999","journal-title":"Proc. Am. Math. Soc."},{"issue":"5","key":"10.1016\/j.amc.2015.10.068_bib0004","doi-asserted-by":"crossref","first-page":"1042","DOI":"10.1016\/j.nonrwa.2005.09.005","article-title":"Extinction in two dimensional Lotka\u2013Volterra system with infinite delay","volume":"7","author":"De Oca","year":"2006","journal-title":"Nonlinear Anal.: Real World Appl."},{"issue":"2","key":"10.1016\/j.amc.2015.10.068_bib0005","doi-asserted-by":"crossref","first-page":"758","DOI":"10.1016\/j.na.2011.09.009","article-title":"Extinction in nonautonomous competitive Lotka\u2013Volterra systems with infinite delay","volume":"75","author":"De Oca","year":"2012","journal-title":"Nonlinear Anal.: Theory Methods Appl."},{"key":"10.1016\/j.amc.2015.10.068_bib0006","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1016\/S0096-3003(99)00110-1","article-title":"On the nonautonomous Lotka\u2013Volterra n-species competing systems","volume":"114","author":"Teng","year":"2000","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/j.amc.2015.10.068_bib0007","doi-asserted-by":"crossref","first-page":"254","DOI":"10.1006\/jmaa.1999.6643","article-title":"Some new results of nonautonomous Lotka\u2013Volterra competitive systems with delays","volume":"241","author":"Teng","year":"2000","journal-title":"J. Math. Anal. Appl."},{"issue":"4","key":"10.1016\/j.amc.2015.10.068_bib0008","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1016\/S1468-1218(03)00038-5","article-title":"The permanence and global attractivity in a nonautonomous Lotka\u2013Volterra system","volume":"5","author":"Zhao","year":"2004","journal-title":"Nonlinear Anal.: Real World Appl."},{"key":"10.1016\/j.amc.2015.10.068_bib0009","doi-asserted-by":"crossref","first-page":"663","DOI":"10.1016\/j.jmaa.2004.06.019","article-title":"Average conditions for permanence and extinction in nonautonomous Lotka\u2013Volterra system","volume":"299","author":"Zhao","year":"2004","journal-title":"J. Math. Anal. Appl."},{"issue":"5","key":"10.1016\/j.amc.2015.10.068_bib0010","doi-asserted-by":"crossref","first-page":"766","DOI":"10.1016\/j.aml.2008.08.015","article-title":"Extinction in a nonautonomous competitive Lotka\u2013Volterra system","volume":"22","author":"Zhao","year":"2009","journal-title":"Appl. Math. Lett."},{"issue":"2","key":"10.1016\/j.amc.2015.10.068_bib0011","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1016\/j.nonrwa.2004.08.008","article-title":"Boundedness and partial survival of species in nonautonomous Lotka\u2013Volterra systems","volume":"6","author":"Muroya","year":"2005","journal-title":"Nonlinear Anal.: Real World Appl."},{"issue":"4","key":"10.1016\/j.amc.2015.10.068_bib0012","doi-asserted-by":"crossref","first-page":"613","DOI":"10.1016\/j.nonrwa.2004.01.002","article-title":"Global stability in periodic competitive systems","volume":"5","author":"Lisena","year":"2004","journal-title":"Nonlinear Anal.: Real World Appl."},{"key":"10.1016\/j.amc.2015.10.068_bib0013","doi-asserted-by":"crossref","first-page":"4285","DOI":"10.1016\/j.nonrwa.2010.05.015","article-title":"On permanence of all subsystems of competitive Lotka\u2013Volterra systems with delays","volume":"11","author":"Hou","year":"2010","journal-title":"Nonlinear Anal.: Real World Appl."},{"key":"10.1016\/j.amc.2015.10.068_bib0014","doi-asserted-by":"crossref","first-page":"2130","DOI":"10.1016\/j.nonrwa.2010.12.027","article-title":"Permanence and extinction in competitive Lotka\u2013Volterra systems with delays","volume":"12","author":"Hou","year":"2011","journal-title":"Nonlinear Anal.: Real World Appl."},{"issue":"5","key":"10.1016\/j.amc.2015.10.068_bib0015","doi-asserted-by":"crossref","first-page":"2214","DOI":"10.1016\/j.nonrwa.2012.01.016","article-title":"Extinction in nonautonomous Lotka\u2013Volterra competitive system with infinite delay and feedback controls","volume":"13","author":"Shi","year":"2012","journal-title":"Nonlinear Anal.: Real World Appl."},{"key":"10.1016\/j.amc.2015.10.068_bib0016","doi-asserted-by":"crossref","first-page":"680","DOI":"10.1016\/j.nonrwa.2006.02.006","article-title":"Note on the permanence of a competitive system with infinite delay and feedback controls","volume":"8","author":"Chen","year":"2007","journal-title":"Nonlinear Anal.: Real World Appl."},{"key":"10.1016\/j.amc.2015.10.068_bib0017","doi-asserted-by":"crossref","first-page":"2508","DOI":"10.1016\/j.nonrwa.2008.05.011","article-title":"Extinction in nonautonomous Lotka\u2013Volterra competitive system with pure-delays and feedback controls","volume":"10","author":"Hu","year":"2009","journal-title":"Nonlinear Anal.: Real World Appl."},{"key":"10.1016\/j.amc.2015.10.068_bib0018","doi-asserted-by":"crossref","first-page":"1803","DOI":"10.1016\/j.nonrwa.2008.02.017","article-title":"On the permanence in non-autonomous Lotka\u2013Volterra competitive system with pure-delays and feedback controls","volume":"10","author":"Hu","year":"2009","journal-title":"Nonlinear Anal.: Real World Appl."},{"key":"10.1016\/j.amc.2015.10.068_bib0019","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1016\/j.mcm.2008.05.004","article-title":"Permanence and stability in multi-species non-autonomous Lotka\u2013Volterra competitive systems with delays and feedback controls","volume":"49","author":"Nie","year":"2009","journal-title":"Math. Comput. Modell."},{"issue":"4","key":"10.1016\/j.amc.2015.10.068_bib0020","doi-asserted-by":"crossref","first-page":"210","DOI":"10.1016\/S1007-5704(01)90016-4","article-title":"Profitless delays for extinction in nonautonomous Lotka\u2013Volterra system","volume":"6","author":"Liu","year":"2001","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"issue":"2","key":"10.1016\/j.amc.2015.10.068_bib0021","doi-asserted-by":"crossref","first-page":"557","DOI":"10.1016\/S0096-3003(03)00654-4","article-title":"New results on positive periodic solutions of a periodic integro-differential competition system","volume":"153","author":"Chen","year":"2004","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/j.amc.2015.10.068_bib0022","doi-asserted-by":"crossref","first-page":"1205","DOI":"10.1016\/j.nonrwa.2005.11.003","article-title":"Some new results on the permanence and extinction of nonautonomous Gilpin\u2013Aayala type competition model with delays","volume":"7","author":"Chen","year":"2006","journal-title":"Nonlinear Anal.: Real World Appl."},{"issue":"1","key":"10.1016\/j.amc.2015.10.068_bib0023","doi-asserted-by":"crossref","first-page":"492","DOI":"10.1016\/j.amc.2005.01.066","article-title":"On a periodic multi-species ecological model","volume":"171","author":"Chen","year":"2005","journal-title":"Appl. Math. Comput."},{"issue":"1\u20132","key":"10.1016\/j.amc.2015.10.068_bib0024","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1016\/j.camwa.2004.02.001","article-title":"Periodicity in a logistic type system with several delays","volume":"48","author":"Chen","year":"2004","journal-title":"Comput. Math. Appl."},{"issue":"1","key":"10.1016\/j.amc.2015.10.068_bib0025","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1016\/j.cam.2004.10.001","article-title":"On a nonlinear non-autonomous predator\u2013prey model with diffusion and distributed delay","volume":"80","author":"Chen","year":"2005","journal-title":"J. Comput. Appl. Math."},{"key":"10.1016\/j.amc.2015.10.068_bib0026","doi-asserted-by":"crossref","first-page":"567","DOI":"10.1016\/S0096-3003(03)00162-0","article-title":"The qualitative analysis of n-species nonlinear prey-competition systems","volume":"149","author":"Zhao","year":"2004","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/j.amc.2015.10.068_bib0027","unstructured":"R.X. Wu, L. Li, Extinction of a reaction-diffusion model of plankton allelopathy with nonlocal delays, Commun. Math. Biol. Neurosci. 2015(2015) Article ID 8."},{"key":"10.1016\/j.amc.2015.10.068_bib0028","unstructured":"L. Li, R.X. Wu, Extinction of a delay differential equation model of plankton allelopathy communications, Commun. Math. Biol. Neurosci. 2015(2015) Article ID 13."}],"container-title":["Applied Mathematics and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300315014198?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300315014198?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2018,9,17]],"date-time":"2018-09-17T05:26:41Z","timestamp":1537162001000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0096300315014198"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,2]]},"references-count":28,"alternative-id":["S0096300315014198"],"URL":"https:\/\/doi.org\/10.1016\/j.amc.2015.10.068","relation":{},"ISSN":["0096-3003"],"issn-type":[{"value":"0096-3003","type":"print"}],"subject":[],"published":{"date-parts":[[2016,2]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Extinction in two species nonautonomous nonlinear competitive system","name":"articletitle","label":"Article Title"},{"value":"Applied Mathematics and Computation","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.amc.2015.10.068","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"Copyright \u00a9 2015 Elsevier Inc. All rights reserved.","name":"copyright","label":"Copyright"}]}}