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| Global Stability of a Viral Infection Model with Defectively Infected Cells and Latent Age |
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Citation： |
Jianquan LI,Yuming CHEN,Peijun ZHANG,Dian ZHANG.Global Stability of a Viral Infection Model with Defectively Infected Cells and Latent Age[J].Chinese Annals of Mathematics B,2024,45(4):555~572 |
| Page view： 1244
Net amount： 430 |
Authors： |
Jianquan LI; Yuming CHEN;Peijun ZHANG;Dian ZHANG |
Foundation： |
by the National Natural Science Foundation of China (Nos. 11971281,
12071268, 12071418), the NSERC of Canada (No. RGPIN-2019-05892), the Natural Science Basic Research Program of Shaanxi (Nos. 2022JM-029, 2023-JC-QN-0090) and the Scientific Research Fund of
Xi’an Medical University (No. 2022JG-53). |
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| Abstract： |
The authors propose and analyze a viral infection model with defectively infected 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. |
Keywords： |
Viral infection model, Basic reproduction number, Equilibrium, Global
stability, Lyapunov direct method, Age structure |
Classification： |
34D20, 35B40, 92D60, 92D40 |
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