{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,13]],"date-time":"2026-02-13T21:36:48Z","timestamp":1771018608370,"version":"3.50.1"},"reference-count":25,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11261017"],"award-info":[{"award-number":["11261017"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["PY201401"],"award-info":[{"award-number":["PY201401"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Foundation of Hubei University for Nationalities","award":["11261017"],"award-info":[{"award-number":["11261017"]}]},{"name":"Foundation of Hubei University for Nationalities","award":["PY201401"],"award-info":[{"award-number":["PY201401"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>A stochastic competitive system is investigated. We first show that the positive solution of the above system does not explode to infinity in a finite time, and the existence and uniqueness of positive solution are discussed. Later, sufficient conditions for the stochastically ultimate boundedness of positive solution are derived. Also, with the help of Lyapunov function, sufficient conditions for the global attraction of positive solution are established. Finally, numerical simulations are presented to justify our theoretical results.<\/jats:p>","DOI":"10.1155\/2014\/963712","type":"journal-article","created":{"date-parts":[[2014,9,2]],"date-time":"2014-09-02T17:02:05Z","timestamp":1409677325000},"page":"1-8","source":"Crossref","is-referenced-by-count":2,"title":["Stochastically Ultimate Boundedness and Global Attraction of Positive Solution for a Stochastic Competitive System"],"prefix":"10.1155","volume":"2014","author":[{"given":"Shengliang","family":"Guo","sequence":"first","affiliation":[{"name":"Key Laboratory of Biologic Resources Protection and Utilization of Hubei Province, Hubei University for Nationalities, Enshi, Hubei 445000, China"},{"name":"Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, China"}]},{"given":"Zhijun","family":"Liu","sequence":"additional","affiliation":[{"name":"Key Laboratory of Biologic Resources Protection and Utilization of Hubei Province, Hubei University for Nationalities, Enshi, Hubei 445000, China"},{"name":"Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3713-0813","authenticated-orcid":true,"given":"Huili","family":"Xiang","sequence":"additional","affiliation":[{"name":"Key Laboratory of Biologic Resources Protection and Utilization of Hubei Province, Hubei University for Nationalities, Enshi, Hubei 445000, China"},{"name":"Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, China"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1016\/S0025-5564(99)00022-X"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2007.07.086"},{"issue":"2","key":"3","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1093\/imammb\/21.2.129","volume":"21","year":"2004","journal-title":"Mathematical Medicine and Biology"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2004.03.026"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-0396(03)00042-1"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2004.01.007"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(87)90116-8"},{"key":"8","year":"1992"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1186\/1687-1847-2014-2"},{"key":"10","year":"2001"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2007.01.008"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.3934\/dcds.2009.24.523"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2011.01.015"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2011.12.049"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/j.matcom.2013.04.011"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2004.09.027"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.mcm.2011.02.004"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2011.12.057"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2010.10.053"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2011.10.022"},{"key":"21","year":"2008"},{"key":"22","year":"1952"},{"key":"23","year":"1991"},{"issue":"2","key":"24","first-page":"267","volume":"4","year":"1959","journal-title":"Revue Roumaine de Math\u00e9matiques Pures et Appliqu\u00e9es"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1137\/S0036144500378302"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/963712.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/963712.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/963712.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,22]],"date-time":"2017-06-22T15:46:04Z","timestamp":1498146364000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/963712\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":25,"alternative-id":["963712","963712"],"URL":"https:\/\/doi.org\/10.1155\/2014\/963712","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014]]}}}