Stability and Hopf bifurcation of a within-host chikungunya virus infection model with two delays

被引：41
|
作者：
Wang, Yan [1 ]
Liu, Xianning [1 ]
机构：
[1] Southwest Univ, Key Lab Ecoenvironm Three Gorges Reservoir Reg, Minist Educ, Sch Math & Stat, Chongqing 400715, Peoples R China
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2017年 / 138卷
基金：
中国国家自然科学基金;
关键词：
Within-host model; Chikungunya virus infection; Delay; Global stability; Hopf bifurcation; NEURAL-NETWORK MODEL; GLOBAL STABILITY; DISEASE; TRANSMISSION; PATHOLOGY; FEATURES; DENGUE; FEVER; MICE;
D O I：
10.1016/j.matcom.2016.12.011
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, a within-host chikungunya virus infection model with two delays is considered. The basic reproductive number R-0 is formulated. If R-0 < 1, the virus-free equilibrium is globally asymptotically stable and the disease always dies out. If R-0 > 1, the global stability of the unique endemic equilibrium E-1 is proved for the case without the time delay of antigenic stimulation, which can change the stability of E-1 and lead to the existence of Hopf bifurcation. Furthermore, explicit formulae for determining the direction of Hopf bifurcation and the stability of bifurcating periodic solutions are established. Finally, some numerical simulations are presented to illustrate the results. (C) 2017 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：31 / 48
页数：18
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