The stability and bifurcation analysis of a discrete Holling-Tanner model

被引：0
作者：
Hui Cao
Zongmin Yue
Yicang Zhou
机构：
[1] Shaanxi University of Science & Technology,Department of Mathematics
[2] Xi’an Jiaotong University,Department of Applied Mathematics
来源：
Advances in Difference Equations | / 2013卷
关键词：
discrete Holling-Tanner model; flip bifurcation; Neimark-Sacker bifurcation; stability;
D O I：
暂无
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摘要：
A discrete predator-prey model with Holling-Tanner functional response is formulated and studied. The existence of the positive equilibrium and its stability are investigated. More attention is paid to the existence of a flip bifurcation and a Neimark-Sacker bifurcation. Sufficient conditions for those bifurcations have been obtained. Numerical simulations are conducted to demonstrate our theoretical results and the complexity of the model.
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