Research article

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

  • 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.

    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

    Related Papers:

  • 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.



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  • © 2024 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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