Stability analysis for a time-delayed nonlinear predator–prey model

被引：0
|
作者：
Baiyu Xie
Fei Xu
机构：
[1] Yellow River Conservancy Technical Institute,Department of Automation Engineering
[2] Wilfrid Laurier University,Department of Mathematics
来源：
Advances in Difference Equations | / 2018卷
关键词：
Hopf bifurcation; Time-delay; -logistic growth; Prey refuge;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we investigate the dynamics of a time-delayed prey–predator system with θ-logistic growth. Our investigation indicates that the models based on delayed differential equations (DDEs) with and without delay-dependent coefficient both undergo Hopf bifurcation at their corresponding positive equilibria. It is shown that stability switching occurs for the interior equilibrium of the model with delay-dependent coefficient. For the DDEs model without delay-dependent coefficient, increased time delay may destabilize a stable interior equilibrium.
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