Asymptotical profiles of a viral infection model with multi-target cells and spatial diffusion

作者：Wang, Xiaoyan; Yang, Junyuan^*; Luo, Xiaofeng

来源：Computers & Mathematics with Applications, 2019, 77(2): 389-406.

DOI：10.1016/j.camwa.2018.09.043

• Principle eigenvalue
• The basic reproduction number
• Global attractivity

In this paper, we propose a viral infection model with multi-target cells on a heterogeneous environment. Then we use the semigroup theory and a variational characterization to compute the local reproduction number R(x) and the basic reproduction number R-0. Furthermore, the model exhibits a threshold dynamics: the virus-free steady state E-0 is globally asymptotically stable if R-0 < 1; otherwise, the endemic steady state E* is globally asymptotically stable. Finally, we perform some numerical examples to illustrate the theoretical results.

• 出版日期2019-1-15
• 单位山西财经大学; 山西大学