计算机工程与应用2016，Vol.52Issue(3)：1-6,6.DOI:10.3778/j.issn.1002-8331.1401-0382
具有扩散的三种群食物链模型的Hopf分支
Hopf bifurcation of three species food chain model with diffusion
摘要
Abstract
The Hopf bifurcation of a class of deterministic model, which is three species food chain with diffusion phe-nomenon and group defense ability subject to Neumann boundary condition, is investigated. By treating the death rate of predator as bifurcation parameter, the stability of the positive constant equilibrium solution is discussed by use of Hurwitz criterion. Then, the conditions which can raise the Hopf bifurcation are given through the theoretical analysis. And also, the normal form method and center manifold theorem are used to study the Hopf bifurcation direction and stability of bifur-cating periodic solutions of the spatial nonhomogeneous.关键词
食物链模型/Hopf分支/扩散Key words
food chain model/Hopf bifurcation/diffusion分类
数理科学引用本文复制引用
李瑜,李艳玲..具有扩散的三种群食物链模型的Hopf分支[J].计算机工程与应用,2016,52(3):1-6,6.基金项目
国家自然科学基金(No.10971124) （No.10971124）
高等学校博士学科点专项科研基金(No.200807180004). （No.200807180004）
