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Spatiotemporal Dynamics of a Delayed Viral Infection Model with Two Modes of Transmission and Immune Impairment

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  • Hui Miao
  • Meiyan Jiao
  • Akbar Ali

Abstract

In this paper, the dynamical behaviors for a diffusive virus infection model with two general nonlinear incidence functions, CTL immune impairment and discrete delays, are investigated. Cell-to-cell transmission plays a more important role in virus spreading in addition to virus-to-cell infection. Nonnegativity and boundcedness properties of the solutions are proven to show the well-posedness of the model. Five reproduction numbers are calculated and verified to be thresholds determining the global properties of the virus model. A significant impact of cell-to-cell transmission is that they increase the basic reproduction number. If one neglects either the cell-to-cell transmission or virus-to-cell infection, the basic reproduction number of the model is underevaluated. Numerical simulations are carried out to illustrate the dynamical behavior of the model.

Suggested Citation

  • Hui Miao & Meiyan Jiao & Akbar Ali, 2022. "Spatiotemporal Dynamics of a Delayed Viral Infection Model with Two Modes of Transmission and Immune Impairment," Discrete Dynamics in Nature and Society, Hindawi, vol. 2022, pages 1-19, April.
    • Handle: RePEc:hin:jnddns:9531450
    DOI: 10.1155/2022/9531450
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