Global dynamics of a delayed latent virus model with both virus-to-cell and cell-to-cell transmissions and humoral immunity

被引：4
|
作者：
Miao, Hui [1 ]
Liu, Rong [1 ]
Jiao, Meiyan [1 ]
机构：
[1] Shanxi Univ Finance & Econ, Sch Appl Math, Taiyuan 030006, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2021年 / 2021卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Virus infection model; Cell-to-cell transmission; Latent infection; Stability; Hopf bifurcation; INFECTION MODEL; THRESHOLD DYNAMICS; HIV-1; STABILITY; RESPONSES; GROWTH;
D O I：
10.1186/s13660-021-02691-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the dynamical behaviors for multiple delayed latent virus model with virus-to-cell infection and cell-to-cell transmissions and humoral immunity are investigated. The virus-to-cell and cell-to-cell incidence rates are modeled by general nonlinear functions. The basic reproduction number R-0 and the humoral immune response number R-1 are calculated and proved to be threshold conditions determining the local and global properties of the virus model. The existence of Hopf bifurcation with immune delay as a bifurcation parameter is presented, and the effects of some key parameters on viral dynamics are revealed by numerical simulations.
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页数：19
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