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

Jianquan LI ¹Yuming CHEN ²Peijun ZHANG ³Dian ZHANG⁴

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作者信息

1. School of Computer Science,Xijing University,Xi'an 710123,China
2. Department of Mathematics,Wilfrid Laurier University,Waterloo,ON N2L 3C5,Canada
3. Xi'an Key Laboratory of Human-Machine Integration and Control Technology for Intelligent Rehabilitation,Xijing University,Xi'an 710123,China
4. Department of Immunology,Xi'an Medical University,Xi'an 710021,China
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Abstract

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.

Key words

Viral infection model/Basic reproduction number/Equilibrium/Global stability/Lyapunov direct method/Age structure

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基金项目

National Natural Science Foundation of China(11971281)

National Natural Science Foundation of China(12071268)

National Natural Science Foundation of China(12071418)

NSERC of Canada(RGPIN-2019-05892)

Natural Science Basic Research Program of Shaanxi(2022JM-029)

Natural Science Basic Research Program of Shaanxi(2023-JC-QN-0090)

Scientific Research Fund of Xi'an Medical University(2022JG-53)

出版年

2024

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

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