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Existence, uniqueness and stability of positive steady states to a prey-predator diffusion system

查看全文 作  者:WANG [1,2]MingXin;WANG [3]XuBo 高影响力作者 机构地区:[1]Science Research Center,Harbin Institute of Technology,Harbin 150080,China;[2]Department of Mathematics,Southeast University,Nanjing 210018,China;[3]Division of Natural Science and Mathematics,Macon State College,Macon,GA 31206,USA高影响力机构 出  处:《Science China Mathematics》索引2009年第52卷第5期,共11页高影响力期刊 基  金:supported by National Natural Science Foundation of China (Grant Nos. 10471022, 10771032);Natural Science Foundation of Jiangsu Province (Grant No. BK2006088) 摘  要:In the paper, we study the positive solutions of an elliptic system coming from a preypredator model with modified Leslie-Gower and Holling-Type II schemes. We study the existence, non-existence, bifurcation, uniqueness and stability of positive solutions. In particular, we obtain a continuum of positive solutions connecting a semitrivial solution to the unique positive solution of the limiting system. 关 键 词:preypredator model positive solutions BIFURCATION EXISTENCE and UNIQUENESS STABILITY
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