首页|Global Stability of a Viral Infection Model with Defectively Infected Cells and Latent Age

Global Stability of a Viral Infection Model with Defectively Infected Cells and Latent Age

扫码查看
原文链接
  • NETL
  • NSTL
  • 万方数据
The authors propose and analyze a viral infection model with defectively infect-ed cells and age of the latently infected cells.The existence of steady states is determined by the basic reproduction number of virus.With the Lyapunov's direct method,they establish a threshold dynamics of the model with the basic reproduction number of virus as the threshold parameter.To achieve it,a novel procedure is proposed.Its novelties are two-folded.On one hand,the coefficients involved in the specific forms of the used Lyapunov functionals for the two feasible steady states are determined by the same set of inequalities.On the other hand,for the infection steady state,a new approach is proposed to check whether the derivative of the Lyapunov functional candidate along solutions is negative(semi-)definite or not.This procedure not only simplifies the analysis but also exhibits the relationship between the two Lyapunov functionals for the two feasible steady states.Moreover,the procedure is expected to be applicable for other similar models.

Viral infection modelBasic reproduction numberEquilibriumGlobal stabilityLyapunov direct methodAge structure

Jianquan LI、Yuming CHEN、Peijun ZHANG、Dian ZHANG

展开 >

School of Computer Science,Xijing University,Xi'an 710123,China

Department of Mathematics,Wilfrid Laurier University,Waterloo,ON N2L 3C5,Canada

Xi'an Key Laboratory of Human-Machine Integration and Control Technology for Intelligent Rehabilitation,Xijing University,Xi'an 710123,China

Department of Immunology,Xi'an Medical University,Xi'an 710021,China

展开 >

National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNSERC of CanadaNatural Science Basic Research Program of ShaanxiNatural Science Basic Research Program of ShaanxiScientific Research Fund of Xi'an Medical University

119712811207126812071418RGPIN-2019-058922022JM-0292023-JC-QN-00902022JG-53

2024

10.1007/s11401-024-0028-2

数学年刊B辑(英文版)
国家教育部委托复旦大学主办

数学年刊B辑(英文版)

CSTPCD
影响因子：0.129
ISSN：0252-9599
年,卷(期)：2024.45(4)