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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