Abstract
本文研究具有避难所的平方根功能反应捕食者–食饵模型的Hopf分支的方向和分支周期解的稳定性。结果表明,当避难所作为参数等于一个阈值时,它会发生Hopf分支。 In this paper, we investigate the direction of Hopf bifurcation and the stability of periodic solution of the bifurcation in a predator-prey model with the square root functional response. The results show that Hopf bifurcation occurs when the refuge as a parameter is equal to a threshold.