食饵带收获率的Holling-2型捕食者—食饵模型的Bautin分岔

Bautin Bifurcation of Holling-2 Predator-prey Model with Harvest Rate

为研究食饵带有收获率参数的Holling-2型捕食者—食饵模型的余维2分岔现象,本文通过对食饵带有收获率的生物模型的第二Lyapunov系数的计算和分析,得出了生物模型发生余维2 Bautin分岔的条件,并给出了相应的Bautin分岔曲面。

In order to study the condimension2bifurcation phenomenon of holling-2predator-prey model with harversrt rate parameters,in this paper,based on the second Lyapunov coefficient of the biological model with predator-prey model with harvesting rate,through calculation and analysis,it is concluded that the biological model has the condimension2Bautin bifurcation,and gives the corresponding Bautin bifurcation surface.