Threshold dynamics of a delayed nonlocal reaction-diffusion HIV infection model with both cell-free and cell-to-cell transmissions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:488

Article

Gao, Yue¹  Wang, Jinliang¹ 

[1] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China

关键词: Cell-to-cell transmission;    Spatial heterogeneity;    Basic reproduction number;    Uniform persistence;    HIV model;   

DOI  :  10.1016/j.jmaa.2020.124047

来源: Elsevier

【 摘 要 】

In this paper, we derive and analyze an HIV infection model containing a fixed latent period and both cell-free and cell-to-cell transmissions. The model is described by a spatially non-local reaction-diffusion system with the zero-flux condition on the boundary. We first show that the model admits global solutions and possesses a global attractor. Following the definition of the next infection operator, we obtain the expression of the basic reproduction number R-0, which is shown as a threshold parameter for the model dynamics. Our results indicate that the clearance/persistence of HIV is governed by the sign of R-0 - 1. In particular, an explicit formula of R-0 is given in the homogeneous case. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free