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Research Article | Open Access

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

School of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan 030006, China
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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.

CLC number: 34D40, 35K57, 92D30

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AIMS Mathematics
Pages 14122-14139

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Cite this article:
Miao H. Global stability of a diffusive humoral immunity viral infection model with time delays and two modes of transmission. AIMS Mathematics, 2025, 10(6): 14122-14139. https://doi.org/10.3934/math.2025636

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Received: 22 April 2025
Revised: 07 June 2025
Accepted: 10 June 2025
Published: 19 June 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)