Global dynamics of a delayed model with cytokine-enhanced viral infection and cell-to-cell transmission-Reference-Cited by-同舟云学术

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

Published:2024 Issue:6 Volume:9 Page:16280-16296
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Hong Liang¹²,Li Jie²,Rong Libin³,Wang Xia²

Affiliation:

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

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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