Global stability of a diffusive humoral immunity viral infection model with time delays and two modes of transmission

In this paper, the dynamical behaviors for a diffusive and delayed viral infection model with two modes of transmission were investigated. The uninfected cells dynamics, two infection modes for both virus-to-cell infection and cell-to-cell transmission, and concentration dependence for the latently infected cells, infected cells, viruses, and B cells were modeled by seven general nonlinear functions along with some assumptions. The basic reproduction number was calculated and demonstrated the global properties of the virus model. The theoretical results were illustrated by numerical simulations.

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Publication Details

Journal
AIMS Mathematics
Published
2025-01-01
DOI
https://doi.org/10.3934/math.2025636
Primary Topic
Mathematical and Theoretical Epidemiology and Ecology Models
Type
article
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article

Global stability of a diffusive humoral immunity viral infection model with time delays and two modes of transmission

Hui Miao
AIMS Mathematics
Mathematical and Theoretical Epidemiology and Ecology Models
article

Global stability of a diffusive humoral immunity viral infection model with time delays and two modes of transmission

Hui Miao
article en

Abstract

In this paper, the dynamical behaviors for a diffusive and delayed viral infection model with two modes of transmission were investigated. The uninfected cells dynamics, two infection modes for both virus-to-cell infection and cell-to-cell transmission, and concentration dependence for the latently infected cells, infected cells, viruses, and B cells were modeled by seven general nonlinear functions along with some assumptions. The basic reproduction number was calculated and demonstrated the global properties of the virus model. The theoretical results were illustrated by numerical simulations.

AIMS MathematicsVol. 10(6)
Shanxi University of Finance and Economics (CN)
Zero hunger
Openalex Percentile: Top 80%
Mathematical and Theoretical Epidemiology and Ecology Models
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