%0 Journal Article
%T PERSISTENCE AND PERIODIC SOLUTION OF A PREDATOR-PREY SYSTEM WITH NONLINEAR DIFFUSION AND DELAY<br>一类具有非线性扩散和时滞的捕食系统的持续性与周期解
%A XU Guoming
%A JIA Jianwen
%A <br>徐国明
%A 贾建文
%J 系统科学与数学
%D 2010
%I 
%X This paper considers a kind of nonautonomous Two-prey One-predator models with nonlinear diffusion, Beddington-Deangelis functional response, discrete delay and continuous time delay. It is proved that the system can be persistent under certain conditions. Furthermore, sufficient conditions which guarantee the global asymptotic stability of positive periodic solution of the system are obtained. Finally, an example is given to demonstrate the results.
%K Nonlinear diffusion
%K delay
%K uniform persistence
%K positive periodic solution<br>非线性扩散
%K 时滞
%K 一致持久
%K 正周期解.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=47B6A22704132A6FBB113AC0CAA6B888&yid=140ECF96957D60B2&vid=340AC2BF8E7AB4FD&iid=E158A972A605785F&sid=F204392B3B11C3BD&eid=2A2AA8B7E19F0DF7&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=1&reference_num=11