%0 Journal Article
%T HOPF BIFURCATION OF THREE SPECIES SYSTEM WITH TIME DELAYS<br>多时滞三种群系统的Hopf分支
%A WANG Xi ZHANG Fengqin ZHANG Yajing
%A <br>王希
%A 张凤琴
%A 张雅婧
%J 系统科学与数学
%D 2010
%I 
%X In this paper, a three species system with two time delays is studied. The stability of the positive equilibrium and the existence of Hopf bifurcation are investigated. By using the normal form theory and center manifold argument, the explicit formulae which determine the stability, the direction and the other properties ofbifurcating periodic solutions are derived. Finally some numerical simulations are carried out to illustrate the obtained results.
%K Species model of delay
%K Hopf bifurcation
%K stability
%K center manifold argument
%K normal form<br>种群时滞模型
%K Hopf
%K 分支
%K 稳定性
%K 中心流形定理
%K 规范型.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=BF241124AA56391ECCC03E70D5A4D617&yid=140ECF96957D60B2&vid=340AC2BF8E7AB4FD&iid=E158A972A605785F&sid=BB98BB04E861B6F5&eid=DFBC046213B3DD86&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=10