Hopf bifurcation analysis for a model of plant virus propagation with two delays

被引：10
|
作者：
Li, Qinglian [1 ]
Dai, Yunxian [1 ]
Guo, Xingwen [1 ]
Zhang, Xingyong [1 ,2 ]
机构：
[1] Kunming Univ Sci & Technol, Dept Appl Math, Kunming, Yunnan, Peoples R China
[2] Cent S Univ, Sch Math & Stat, Changsha, Hunan, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2018年
基金：
中国国家自然科学基金;
关键词：
Delay differential equation; Virus propagation; Hopf bifurcation; Holling type II; PREDATOR-PREY SYSTEM;
D O I：
10.1186/s13662-018-1714-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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 tau(1) and tau(2) 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.
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收藏
页数：22
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