{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,28]],"date-time":"2024-06-28T08:36:17Z","timestamp":1719563777129},"reference-count":25,"publisher":"Elsevier BV","issue":"3","license":[{"start":{"date-parts":[[2019,8,1]],"date-time":"2019-08-01T00:00:00Z","timestamp":1564617600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2023,8,1]],"date-time":"2023-08-01T00:00:00Z","timestamp":1690848000000},"content-version":"vor","delay-in-days":1461,"URL":"http:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"},{"start":{"date-parts":[[2019,8,1]],"date-time":"2019-08-01T00:00:00Z","timestamp":1564617600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2019,8,1]],"date-time":"2019-08-01T00:00:00Z","timestamp":1564617600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2019,8,1]],"date-time":"2019-08-01T00:00:00Z","timestamp":1564617600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2019,8,1]],"date-time":"2019-08-01T00:00:00Z","timestamp":1564617600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2019,8,1]],"date-time":"2019-08-01T00:00:00Z","timestamp":1564617600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"name":"Vietnam National University Ho Chi Minh City (VNU-HCM), Viet NamVietnam National University Ho Chi Minh City (VNU-HCM), Viet Nam","award":["B2017-18-03"]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Computers & Mathematics with Applications"],"published-print":{"date-parts":[[2019,8]]},"DOI":"10.1016\/j.camwa.2019.02.037","type":"journal-article","created":{"date-parts":[[2019,3,15]],"date-time":"2019-03-15T06:51:31Z","timestamp":1552632691000},"page":"765-785","update-policy":"http:\/\/dx.doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":4,"title":["Regularization of a backward problem for a Lotka\u2013Volterra competition system"],"prefix":"10.1016","volume":"78","author":[{"given":"Vo Van","family":"Au","sequence":"first","affiliation":[]},{"given":"Nguyen Huu","family":"Can","sequence":"additional","affiliation":[]},{"given":"Nguyen Huy","family":"Tuan","sequence":"additional","affiliation":[]},{"given":"Tran Thanh","family":"Binh","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.camwa.2019.02.037_b1","first-page":"3","article-title":"Permanence and global attractivity of a discrete multispecies Lotka\u2013Volterra competition predator\u2013prey systems","volume":"182","author":"Chen","year":"2006","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/j.camwa.2019.02.037_b2","doi-asserted-by":"crossref","first-page":"1569","DOI":"10.1088\/0266-5611\/18\/6\/309","article-title":"On the convergence of a solution of the discrete Lotka\u2013Volterra system","volume":"18","author":"Iwasaki","year":"2002","journal-title":"Inverse Problems"},{"key":"10.1016\/j.camwa.2019.02.037_b3","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1088\/0266-5611\/17\/1\/305","article-title":"The discrete Lotka\u2013Volterra system computes singular values","volume":"17","author":"Tsujimoto","year":"2001","journal-title":"Inverse Problems"},{"issue":"3","key":"10.1016\/j.camwa.2019.02.037_b4","doi-asserted-by":"crossref","first-page":"480","DOI":"10.1137\/1036104","article-title":"An accurate solution to the multispecies Lotka\u2013Volterra equations","volume":"36","author":"Olek","year":"1994","journal-title":"SIAM Rev."},{"key":"10.1016\/j.camwa.2019.02.037_b5","doi-asserted-by":"crossref","first-page":"528","DOI":"10.1016\/j.jde.2012.08.032","article-title":"The effects of diffusion and spatial variation in Lotka\u2013Volterra competition-diffusion system I: Heterogeneity vs. homogeneity","volume":"254","author":"He","year":"2013","journal-title":"J. Differential Equations"},{"issue":"1","key":"10.1016\/j.camwa.2019.02.037_b6","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1007\/BF00283257","article-title":"Propagating fronts for competing species equationswith diffusion","volume":"73","author":"Tang","year":"1980","journal-title":"Arch. Ration. Mech. Anal."},{"issue":"8","key":"10.1016\/j.camwa.2019.02.037_b7","first-page":"435","article-title":"On a limiting system in the Lotka\u2013Volterra competition with cross-diffusion","volume":"37","author":"Lou","year":"2004","journal-title":"Discrete Contin. Dyn. Syst. Ser. A"},{"key":"10.1016\/j.camwa.2019.02.037_b8","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1016\/j.nonrwa.2004.08.001","article-title":"The dynamical behaviors of a Lotka\u2013Volterra predator\u2013prey model concerning integrated pest management","volume":"6","author":"Liu","year":"2005","journal-title":"Nonlinear Anal. RWA"},{"issue":"1","key":"10.1016\/j.camwa.2019.02.037_b9","first-page":"271","article-title":"Globally asymptotic stability in two periodic delayed competitive systems","volume":"197","author":"Liu","year":"2008","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/j.camwa.2019.02.037_b10","doi-asserted-by":"crossref","first-page":"562","DOI":"10.1016\/j.jtbi.2006.07.010","article-title":"Almost periodic solution of non-autonomous Lotka\u2013Volterra predator\u2013prey dispersal system with delays","volume":"243","author":"Meng","year":"2006","journal-title":"J. Theoret. Biol."},{"key":"10.1016\/j.camwa.2019.02.037_b11","doi-asserted-by":"crossref","first-page":"544","DOI":"10.1016\/j.cam.2008.05.041","article-title":"Existence and stability of periodic solution of a Lotka\u2013Volterra predator\u2013prey model with state dependent impulsive effects","volume":"224","author":"Nie","year":"2009","journal-title":"J. Comput. Appl. Math."},{"key":"10.1016\/j.camwa.2019.02.037_b12","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1006\/jmaa.2001.7801","article-title":"The necessary and sufficient condition for global stability of a Lotka\u2013Volterra cooperative or competition system with delays","volume":"268","author":"Saito","year":"2002","journal-title":"J. Math. Anal. Appl."},{"key":"10.1016\/j.camwa.2019.02.037_b13","doi-asserted-by":"crossref","first-page":"534","DOI":"10.1006\/jmaa.1999.6464","article-title":"Necessary and sufficient conditions for permanence and global stability of a Lotka\u2013Volterra system with two delays","volume":"236","author":"Saito","year":"1999","journal-title":"J. Math. Anal. Appl."},{"issue":"3","key":"10.1016\/j.camwa.2019.02.037_b14","doi-asserted-by":"crossref","first-page":"441","DOI":"10.1080\/00036811.2011.625014","article-title":"Weak-renormalized solutions for predator\u2013prey system","volume":"92","author":"Shangerganesh","year":"2013","journal-title":"Appl. Anal."},{"key":"10.1016\/j.camwa.2019.02.037_b15","doi-asserted-by":"crossref","first-page":"538","DOI":"10.1006\/jdeq.2001.4044","article-title":"Nonautonomous Lotka\u2013Volterra systems with delays","volume":"179","author":"Teng","year":"2002","journal-title":"J. Differential Equations"},{"issue":"8","key":"10.1016\/j.camwa.2019.02.037_b16","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1016\/S0898-1221(97)00056-4","article-title":"A predator\u2013prey system with stage-structure for predator","volume":"33","author":"Wang","year":"1997","journal-title":"Comput. Math. Appl."},{"key":"10.1016\/j.camwa.2019.02.037_b17","doi-asserted-by":"crossref","first-page":"1035","DOI":"10.1016\/j.mcm.2010.11.061","article-title":"Traveling waves for a Lotka\u2013Volterra competition system with diffusion","volume":"53","author":"Yua","year":"2011","journal-title":"Math. Comput. Modelling"},{"key":"10.1016\/j.camwa.2019.02.037_b18","doi-asserted-by":"crossref","DOI":"10.1088\/1361-6420\/aa635f","article-title":"Identifcation of the population density of a species model with nonlocal diffusion and nonlinear reaction","volume":"33","author":"Tuan","year":"2017","journal-title":"Inverse Problems"},{"key":"10.1016\/j.camwa.2019.02.037_b19","doi-asserted-by":"crossref","first-page":"1203","DOI":"10.1016\/j.nonrwa.2012.09.011","article-title":"Stability estimates for a class of semi-linear ill-posed problems","volume":"14","author":"Tuan","year":"2013","journal-title":"Nonlinear Anal. RWA"},{"key":"10.1016\/j.camwa.2019.02.037_b20","doi-asserted-by":"crossref","first-page":"1842","DOI":"10.1016\/j.na.2010.05.019","article-title":"A nonlinear parabolic equation backward in time: Regularization with new error estimates","volume":"73","author":"Tuan","year":"2010","journal-title":"Nonlinear Anal."},{"key":"10.1016\/j.camwa.2019.02.037_b21","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1007\/s10440-016-0082-1","article-title":"A new Fourier truncated regularization method for semilinear backward parabolic problems","volume":"148","author":"Tuan","year":"2017","journal-title":"Acta Appl. Math."},{"key":"10.1016\/j.camwa.2019.02.037_b22","doi-asserted-by":"crossref","first-page":"678","DOI":"10.1016\/j.jmaa.2014.01.031","article-title":"On a backward parabolic problem with local Lipschitz source","volume":"414","author":"Tuan","year":"2014","journal-title":"J. Math. Anal. Appl."},{"key":"10.1016\/j.camwa.2019.02.037_b23","first-page":"245","article-title":"A modified integral equation method of the nonlinear elliptic equation with globally and locally Lipschitz source","volume":"265","author":"Tuan","year":"2015","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/j.camwa.2019.02.037_b24","series-title":"Partial Differential Equations","first-page":"19","author":"Evans","year":"1998"},{"key":"10.1016\/j.camwa.2019.02.037_b25","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1007\/PL00001493","article-title":"The Navier\u2013Stokes equations on the rotating 2-D sphere: Gevrey regularity and asymptotic degrees of freedom","volume":"50","author":"Cao","year":"1999","journal-title":"Z. Angew. Math. Phys."}],"container-title":["Computers & Mathematics with Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0898122119301191?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0898122119301191?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2024,4,7]],"date-time":"2024-04-07T03:19:44Z","timestamp":1712459984000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0898122119301191"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,8]]},"references-count":25,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2019,8]]}},"alternative-id":["S0898122119301191"],"URL":"http:\/\/dx.doi.org\/10.1016\/j.camwa.2019.02.037","relation":{},"ISSN":["0898-1221"],"issn-type":[{"value":"0898-1221","type":"print"}],"subject":[],"published":{"date-parts":[[2019,8]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Regularization of a backward problem for a Lotka\u2013Volterra competition system","name":"articletitle","label":"Article Title"},{"value":"Computers & Mathematics with Applications","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.camwa.2019.02.037","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2019 Elsevier Ltd.","name":"copyright","label":"Copyright"}]}}