Global dynamics of an age-structured viral infection model with general incidence function and absorption

被引:16
|
作者
Hattaf, Khalid [1 ]
Yang, Yu [2 ]
机构
[1] CRMEF, Casablanca 20340, Morocco
[2] Zhejiang Int Studies Univ, Sch Sci & Thchnol, Hangzhou 310023, Zhejiang, Peoples R China
基金
中国国家自然科学基金;
关键词
Age of infection; general incidence function; global stability; WITHIN-HOST; STABILITY ANALYSIS; EPIDEMIC MODEL; HIV-INFECTION; NONLINEAR INCIDENCE; INTERFERENCE;
D O I
10.1142/S1793524518500651
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this paper, we propose an age-structured viral infection model with general incidence function that takes account of the loss of viral particles due to their absorption into susceptible cells. The proposed model is described by partial differential and ordinary differential equations. We first show that the model is mathematically and biologically well-posed. Furthermore, the uniform persistence and the global behavior of the model are investigated. Moreover, the age-structured models and results presented in many previous studies are improved and generalized.
引用
收藏
页数:18
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