文章基本信息

标题：Hopf bifurcation analysis for a model of plant virus propagation with two delays
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作者：Qinglian Li ; Yunxian Dai ; Xingwei Guo 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2018
卷号：2018
期号：1
页码：259
DOI：10.1186/s13662-018-1714-8
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we consider a model of plant virus propagation with two delays and Holling type II functional response. The stability of the positive equilibrium and the existence of Hopf bifurcation are analyzed by choosing τ 1 $\tau_)$ and τ 2 $\tau_,$ as bifurcation parameters, respectively. Using the center manifold theory and normal form method, we discuss conditions for determining the stability and the bifurcation direction of the bifurcating periodic solution. Finally, we carry out numerical simulations to illustrate the theoretical analysis.