On an Age-Structured Hepatitis B Virus Infection Model with HBV DNA-Containing Capsids

San-hong, Liu; Zhang, Ran

doi:10.1007/s40840-020-01014-6

Cited by 14 publications

(6 citation statements)

References 39 publications

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“…Similarly to the proof process in [24,25], we can verify that operator 0 is a Hille-Yosida operator [23].…”

Section: Existence and Uniqueness Of Solutionsmentioning

confidence: 86%

Global Dynamics for an Age-Structured Cholera Infection Model with General Infection Rates

Jiang

2021

Mathematics

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This paper studies the global dynamics of a cholera model incorporating age structures and general infection rates. First, we explore the existence and point dissipativeness of the orbit and analyze the asymptotical smoothness. Then, we perform rigorous mathematical analysis on the existence and local stability of equilibria. Based on the uniform persistence, we further investigate the global behavior of the cholera infection model. The results of theoretical analysis are well confirmed by numerical simulations. This research generalizes some known results and provides deeper insights into the dynamics of cholera propagation.

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“…Similarly to the proof process in [24,25], we can verify that operator 0 is a Hille-Yosida operator [23].…”

Section: Existence and Uniqueness Of Solutionsmentioning

confidence: 86%

Global Dynamics for an Age-Structured Cholera Infection Model with General Infection Rates

Jiang

2021

Mathematics

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“…Transmission is a key process in modeling viral infection. In many models, the transmission is described by either the bilinear mass action law 21,24,27,28,32 or a general incidence rate

F\left(H,I,V\right)

(excluding bilinear incidence and saturation incidence) in Guo et al and Hajhouji et al 25,26 These functions, bilinear incidence as well as Beddington–DeAngelis functional response and saturation incidence, are special cases of our nonlinear incidence satisfying Assumption 1. In addition, since our model was based on the HBV infection models that have convergent asymptotic dynamics in the long term, the result of this paper further shows that the incorporation of reaction‐diffusion, CTL immune responses, two infection modes, and two intracellular delays do not change the global dynamics of within‐host virus infection models.…”

Section: Discussionmentioning

confidence: 99%

“…The model in Elaiw and Al Agha 22 did not study the influence of time delay and cell‐to‐cell infection on the viral load. Liu and Zhang 27 studied an age‐structured HBV model with DNA‐containing capsids and proved the global asymptotical stability of the model. But the effects of reaction‐diffusion, time delay, immune response, and cell‐to‐cell infection on viral load were not considered in their model.…”

Section: Introductionmentioning

confidence: 99%

A delayed diffusive HBV model with nonlinear incidence and CTL immune response

Zhang

Wang

2022

Math Methods in App Sciences

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In this paper, we develop a diffusive and delayed hepatitis B virus (HBV) infection model, which incorporates both virus-to-cell and cell-to-cell transmissions along with cytotoxic T lymphocyte (CTL) immune response. Two threshold parameters ℜ 0 (basic reproduction number) and ℜ 1 (immune response reproduction number) are defined, which determine the dynamic behavior of the model. Employing the approach of Lyapunov functionals, we show that the infection-free steady state is globally asymptotically stable when ℜ 0 ≤ 1; the immune-free infected steady state is globally asymptotically stable when ℜ 1 ≤ 1 < ℜ 0 ; and the immune-present steady state is globally asymptotically stable when ℜ 0 > 1, ℜ 1 > 1, and 𝜑(I) = I. We perform the sensitivity and uncertainly analysis on ℜ 0 with respect to parameters and find that the most important parameter that drives the HBV infection is the mortality of HBV DNA capsids. Moreover, the theoretical results are supported with numerical simulations.

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“…The age of an infected cells serves as a key biological indicator, providing valuable insights into the dynamics of virus behavior. Recently, Liu et al [40] proposed an age-structured model of HBV that treated HBV capsids as a separate compartment. Beyond the studies mentioned above, a broad range of literature exists, examining various aspects of HBV infection.…”

Section: Introductionmentioning

confidence: 99%

Cytoplasmic recycling of rcDNA-containing capsids enhances HBV infection

Sutradhar,

Dalal

2024

Nonlinear Dyn

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Hepatitis B virus (HBV) infection is a deadly liver disease. The main aim of this work is to explore the role of cytoplasmic recycling of rcDNA-containing capsids in the hepatitis B virus (HBV) infection. To this purpose, considering the recycling of capsids, a noval mathematical model is proposed in order to understand the dynamics of this viral infection in a better way. Through a rigorous comparison with experimental data obtained from four chimpanzees, the proposed model exhibits a robust alignment with the dynamics of infection. The effects of three parameters (recycling rate, virus production rate, and volume fraction of newly produced capsids) are examined, revealing an interesting observation: the inclusion of recycling reverses the influence of both virus production rate and the volume fraction of newly produced capsids in infection. A comprehensive global sensitivity analysis is conducted to identify the most positively as well as negatively sensitive parameters for each compartment in the model. In conclusion, this study underscores that the accumulation of rcDNA-containing capsids within the infected hepatocyte is a key factor contributing to the exacerbation of the disease. In addition, another major finding of our study is that due to recycling of capsids, the number of released viruses increases in spite of low virus production rate. In other words, the recycling of capsids acts as a positive feedback loop in the viral infection.

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On an Age-Structured Hepatitis B Virus Infection Model with HBV DNA-Containing Capsids

Cited by 14 publications

References 39 publications

Global Dynamics for an Age-Structured Cholera Infection Model with General Infection Rates

Global Dynamics for an Age-Structured Cholera Infection Model with General Infection Rates

A delayed diffusive HBV model with nonlinear incidence and CTL immune response

Cytoplasmic recycling of rcDNA-containing capsids enhances HBV infection

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