%0 Journal Article
%T 平方根功能反应捕食者–食饵模型的Hopf分支<br>Hopf Bifurcation of the Square Root Functional Response Predator-Prey Model
%A 吕文娟
%A 孙芳娟
%J Pure Mathematics
%P 1250-1256
%@ 2160-7605
%D 2021
%I Hans Publishing
%R 10.12677/PM.2021.116138
%X <div style=\"text-align:justify;\">
	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。<br />
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.
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%K 捕食者–食饵模型，避难所，稳定性，Hopf分支<br>Predator-Prey Model
%K Prey Refuge
%K Stability
%K Hopf Bifurcation
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=43365