Global dynamics of a delayed model with cytokine-enhanced viral infection and cell-to-cell transmission

Liang Hong; Jie Li; Libin Rong; Xia Wang; Liang Hong; Jie Li; Libin Rong; Xia Wang

doi:10.3934/math.2024788

AIMS Mathematics

2024, Volume 9, Issue 6: 16280-16296. doi: 10.3934/math.2024788

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Research article

Global dynamics of a delayed model with cytokine-enhanced viral infection and cell-to-cell transmission

1.
Research Institute of Forest Resource Information Techniques, Chinese Academy of Forestry, Beijing 100091, China
2.
School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, Henan, China
3.
Department of Mathematics, University of Florida, Gainesville, FL 32611, USA

Received: 10 March 2024 Revised: 23 April 2024 Accepted: 30 April 2024 Published: 09 May 2024
MSC : 34D23, 92D30

Recent studies have demonstrated the superiority of cell-to-cell transmission over cell-free virus infection, and highlighted the role of inflammatory cytokines in enhancing viral infection. To investigate their impacts on viral infection dynamics, we have proposed an HIV infection model incorporating general incidence rates, these infection modes, and two time delays. We derived the basic reproduction number and showed that it governs the existence and local stability of steady states. Through the construction of appropriate Lyapunov functionals and application of the LaSalle invariance principle, we established the global asymptotic stability of both the infection-free and infected steady states.
- cytokine-enhanced viral infection,
- intercellular transmission,
- general incidence rate,
- global dynamics
Citation: Liang Hong, Jie Li, Libin Rong, Xia Wang. Global dynamics of a delayed model with cytokine-enhanced viral infection and cell-to-cell transmission[J]. AIMS Mathematics, 2024, 9(6): 16280-16296. doi: 10.3934/math.2024788

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Abstract

Recent studies have demonstrated the superiority of cell-to-cell transmission over cell-free virus infection, and highlighted the role of inflammatory cytokines in enhancing viral infection. To investigate their impacts on viral infection dynamics, we have proposed an HIV infection model incorporating general incidence rates, these infection modes, and two time delays. We derived the basic reproduction number and showed that it governs the existence and local stability of steady states. Through the construction of appropriate Lyapunov functionals and application of the LaSalle invariance principle, we established the global asymptotic stability of both the infection-free and infected steady states.

References

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