Stability and Hopf bifurcation in a delayed viral infection model with mitosis transmission

被引：21
作者：
Avila-Vales, Eric [1 ]
Chan-Chi, Noe [1 ]
Garcia-Almeida, Gerardo E. [1 ]
Vargas-De-Leon, Cruz [2 ]
机构：
[1] Univ Autonoma Yucatan, Fac Matemat, Merida, Yucatan, Mexico
[2] Hosp Gen Mexico City, Unidad Med Expt, Mexico City 06726, DF, Mexico
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 259卷
关键词：
Local stability; Hopf bifurcation; Global stability; Permanence; Sensitivity analysis; DYNAMICS IN-VIVO; HEPATITIS-C; INTRACELLULAR DELAY; VIRUS DYNAMICS; TIME-DELAY; ASYMPTOTIC PROPERTIES; HIV-1; DYNAMICS; EFFICACY; THERAPY; CELLS;
D O I：
10.1016/j.amc.2015.02.053
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study a model of HCV with saturation and delay, we stablish the local and global stability of system also we stablish the occurrence of a Hopf bifurcation. We will determine conditions for the permanence of model, and the length of delay to preserve stability. We present a sensitivity analysis for the basic reproductive number. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：293 / 312
页数：20
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