{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,29]],"date-time":"2024-06-29T16:15:25Z","timestamp":1719677725214},"reference-count":31,"publisher":"World Scientific Pub Co Pte Lt","issue":"01n02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advs. Complex Syst."],"published-print":{"date-parts":[[2006,3]]},"abstract":"<jats:p>A discrete nonlinear model is studied and sufficient conditions which guarantee the permanence of the model are obtained. Assuming that the coefficients in the model are periodic, the existence of periodic solutions are obtained. Sufficient conditions are obtained to ensure the global stability of the positive periodic solution by constructing a suitable Lyapunov function.<\/jats:p>","DOI":"10.1142\/s0219525906000628","type":"journal-article","created":{"date-parts":[[2006,8,10]],"date-time":"2006-08-10T10:15:04Z","timestamp":1155204904000},"page":"31-40","source":"Crossref","is-referenced-by-count":1,"title":["PERMANENCE AND GLOBAL STABILITY FOR NONLINEAR DISCRETE MODEL"],"prefix":"10.1142","volume":"09","author":[{"given":"CHEN","family":"XIAOXING","sequence":"first","affiliation":[{"name":"School of Mathematics and Computer, Fuzhou University, Fuzhou, Fujian 350002, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1017\/S0334270000004768"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/0895-7177(91)90100-L"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(91)90220-T"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1017\/S0334270000003659"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.2000.6784"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1016\/0898-1221(94)90085-X"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1993-1143013-3"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-96-03355-2"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.1995.1026"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(92)90222-Y"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1988-0934856-5"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1016\/S0362-546X(97)00602-0"},{"key":"rf13","first-page":"465","volume":"22","author":"Gui Z. J.","journal-title":"Acta. Math. Sci. A"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1016\/0304-3800(94)00134-0"},{"key":"rf15","volume-title":"Models in Ecology","author":"Maynard-Smith J.","year":"1974"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1016\/S0898-1221(00)00228-5"},{"key":"rf18","first-page":"22","volume":"39","author":"Chen F. D.","journal-title":"Acta Sci. Natur. Univers. Pekinensis"},{"key":"rf19","first-page":"132","volume":"288","author":"Chen F. D.","journal-title":"J. Math. Anal. Appl."},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1007\/s10255-005-0214-2"},{"key":"rf21","first-page":"33","volume":"80","author":"Chen F. D.","journal-title":"J. Comput. Appl. Math."},{"key":"rf22","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2004.02.001"},{"key":"rf24","volume-title":"Deterministic Mathematical Models in Population Ecology","author":"Freedman H. I.","year":"1980"},{"key":"rf25","series-title":"Monographs and Textbooks in Pure and Applied Mathematics, No. 228","doi-asserted-by":"crossref","DOI":"10.1201\/9781420027020","volume-title":"Difference Equations and Inequalities: Theory, Methods and Applications","author":"Agarwal R. P.","year":"2000"},{"key":"rf26","volume-title":"Management and Analysis of Biological Populations","author":"Goh B. S.","year":"1980"},{"key":"rf27","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-08539-4"},{"key":"rf28","doi-asserted-by":"publisher","DOI":"10.1080\/0003681021000004438"},{"key":"rf29","first-page":"249","volume":"9","author":"Fan M.","journal-title":"Nonlin. Studies"},{"key":"rf30","doi-asserted-by":"publisher","DOI":"10.1016\/S0895-7177(02)00062-6"},{"key":"rf31","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2004.07.002"},{"key":"rf32","series-title":"Monographs and Textbooks in Pure and Applied Mathematics, No. 228","doi-asserted-by":"crossref","DOI":"10.1201\/9781420027020","volume-title":"Difference Equations and Inequalities: Theory, Method and Applications","author":"Agarwal R. P.","year":"2000"},{"key":"rf33","first-page":"1019","volume":"35","author":"Wang W. D.","journal-title":"Nonlin. Anal. Theor. Meth. Appl."}],"container-title":["Advances in Complex Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219525906000628","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,17]],"date-time":"2020-04-17T21:22:56Z","timestamp":1587158576000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219525906000628"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,3]]},"references-count":31,"journal-issue":{"issue":"01n02","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2006,3]]}},"alternative-id":["10.1142\/S0219525906000628"],"URL":"https:\/\/doi.org\/10.1142\/s0219525906000628","relation":{},"ISSN":["0219-5259","1793-6802"],"issn-type":[{"value":"0219-5259","type":"print"},{"value":"1793-6802","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,3]]}}}