{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T02:38:19Z","timestamp":1747190299527,"version":"3.40.5"},"reference-count":34,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,8,19]],"date-time":"2020-08-19T00:00:00Z","timestamp":1597795200000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Applied Study Program","award":["171006901B","60204","WH18012"],"award-info":[{"award-number":["171006901B","60204","WH18012"]}]},{"name":"Applied Study Program","award":["171006901B","60204","WH18012"],"award-info":[{"award-number":["171006901B","60204","WH18012"]}]},{"name":"Applied Study Program","award":["171006901B","60204","WH18012"],"award-info":[{"award-number":["171006901B","60204","WH18012"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2020,8,19]]},"abstract":"<jats:p>In this paper, a discrete space-time Lotka\u2013Volterra model with the periodic boundary conditions and feedback control is proposed. By means of a discrete version of comparison theorem, the boundedness of the nonnegative solution of the system is proved. By the combination of the Volterra-type and quadratic Lyapunov functions, the global asymptomatic stability of the unique positive equilibrium is investigated. Finally, numerical simulations are presented to verify the effectiveness of the main results.<\/jats:p>","DOI":"10.1155\/2020\/2960503","type":"journal-article","created":{"date-parts":[[2020,8,19]],"date-time":"2020-08-19T23:31:56Z","timestamp":1597879916000},"page":"1-9","source":"Crossref","is-referenced-by-count":0,"title":["Global Stability for a Discrete Space-Time Lotka\u2013Volterra System with Feedback Control"],"prefix":"10.1155","volume":"2020","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6438-8927","authenticated-orcid":true,"given":"Li","family":"Xu","sequence":"first","affiliation":[{"name":"School of Science, Tianjin University of Commerce, Tianjin 300134, China"},{"name":"School of Mathematics, Tianjin University, Tianjin 300072, China"}]},{"given":"Ruiwen","family":"Han","sequence":"additional","affiliation":[{"name":"School of Science, Tianjin University of Commerce, Tianjin 300134, China"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2009.12.008"},{"year":"2013","key":"2"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2020.04.024"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2018.09.003"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2019.01.052"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2019.06.046"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1007\/s10998-011-7019-2"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/0022-5193(69)90065-4"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2017.03.013"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.1995.1100"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2011.08.014"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2014.04.036"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1155\/2019\/4873290"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2017.10.004"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1109\/tac.2018.2882067"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2020.106227"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2006.02.039"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2008.10.027"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2007.05.001"},{"issue":"641","key":"20","first-page":"37","volume":"237","year":"1952","journal-title":"Philo-Sophical Transactions of the Royal Society B: Biological Sciences"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1155\/s0161171293000213"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1155\/2018\/7473208"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2013.04.014"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1109\/tac.2012.2200370"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2018.06.029"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1080\/00207160.2018.1527028"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1023\/a:1011539901001"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.1155\/2019\/9592878"},{"key":"29","doi-asserted-by":"publisher","DOI":"10.1086\/283092"},{"key":"30","doi-asserted-by":"publisher","DOI":"10.1016\/s0893-9659(03)80027-7"},{"key":"31","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.2019.2958072"},{"key":"32","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2020.2979129"},{"key":"33","doi-asserted-by":"publisher","DOI":"10.1109\/tac.2015.2471696"},{"key":"34","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2020.104699"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/2960503.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/2960503.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/2960503.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,8,19]],"date-time":"2020-08-19T23:32:05Z","timestamp":1597879925000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/complexity\/2020\/2960503\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,8,19]]},"references-count":34,"alternative-id":["2960503","2960503"],"URL":"https:\/\/doi.org\/10.1155\/2020\/2960503","relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"type":"print","value":"1076-2787"},{"type":"electronic","value":"1099-0526"}],"subject":[],"published":{"date-parts":[[2020,8,19]]}}}