Modelling and analysis of a delayed viral infection model with follicular dendritic cell

Yan Geng; Jinhu Xu; Yan Geng; Jinhu Xu

doi:10.3934/era.2024236

Electronic Research Archive

2024, Volume 32, Issue 8: 5127-5138. doi: 10.3934/era.2024236

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Research article

Modelling and analysis of a delayed viral infection model with follicular dendritic cell

Yan Geng ¹,
Jinhu Xu ^{2
,
,}

1.
School of Science, Xi'an Polytechnic University, Xi'an 710048, China
2.
School of Sciences, Xi'an University of Technology, Xi'an 710048, China

Received: 14 July 2024 Revised: 11 August 2024 Accepted: 19 August 2024 Published: 29 August 2024

In this paper, we propose a new viral infection model by incorporating a new compartment for follicular dendritic cell (FDC), nonlinear incidence, CTL immune response, and two intracellular delays. The main purpose of the paper is to make an improvement and supplement to the global dynamics of the model proposed by Callaway and Perelson (2002), in which global stability has not been studied. The global stabilities of equilibria are established by constructing corresponding Lyapunov functionals in terms of two threshold parameters, $ \mathfrak{R}_0 $ and $ \mathfrak{R}_1 $. The obtained results imply that both nonlinear incidence and intracellular time delays have no impact on the stability of the model.
- follicular dendritic cell,
- intracellular time delays,
- nonlinear incidence,
- global stability,
- Lyapunov functionals
Citation: Yan Geng, Jinhu Xu. Modelling and analysis of a delayed viral infection model with follicular dendritic cell[J]. Electronic Research Archive, 2024, 32(8): 5127-5138. doi: 10.3934/era.2024236

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Abstract

In this paper, we propose a new viral infection model by incorporating a new compartment for follicular dendritic cell (FDC), nonlinear incidence, CTL immune response, and two intracellular delays. The main purpose of the paper is to make an improvement and supplement to the global dynamics of the model proposed by Callaway and Perelson (2002), in which global stability has not been studied. The global stabilities of equilibria are established by constructing corresponding Lyapunov functionals in terms of two threshold parameters, $ \mathfrak{R}_0 $ and $ \mathfrak{R}_1 $. The obtained results imply that both nonlinear incidence and intracellular time delays have no impact on the stability of the model.

References

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