具Holling IV型反应函数的时滞培养器模型的Hopf分支公式

Hopf Bifurcation Formula of the Chemostst With Delay Holling IV Response Function

在时滞单种群微生物连续培养器模型中,取更符合实际意义的简化Holling IV型功能反应函数,利用"规范型"方法,给出计算此类模型的Hopf分支公式,按照这个公式能够确定Hopf分支的分支方向.

In this paper, we adopt the Holling Ⅳ functional response which more match the actual meaning in the chemostat, study the Hopf bifurcation formula according to the normal form method. In this way, we can determine the Hopf bifurcation direction.