THRESHOLD DYNAMICS OF A GENERAL DELAYED WITHIN-HOST VIRAL INFECTION MODEL WITH HUMORAL IMMUNITY AND TWO MODES OF VIRUS TRANSMISSION

被引:1
|
作者
She, Zhikun [1 ]
Jiang, Xin [1 ,2 ]
机构
[1] Beihang Univ, Sch Math Sci, Beijing 100191, Peoples R China
[2] North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China
来源
基金
中国国家自然科学基金; 北京市自然科学基金;
关键词
Threshold dynamics; intracellular delay; virus-to-cell transmission; cell-to-cell transmission; humoral immunity; TO-CELL SPREAD; DIFFERENTIAL EQUATIONS; GLOBAL STABILITY; RAPID-TURNOVER; HIV-INFECTION; REPLICATION; PERSISTENCE; CLEARANCE;
D O I
10.3934/dcdsb.2020259
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, a general viral infection model with humoral immunity is investigated. The model describes the interaction of uninfected target cells, infected cells, free viruses and humoral immune response, incorporating two virus transmission modes and intracellular delay. Some reasonable hypothesises are made for the general incidence rates. Through stability analysis of equilibria under these hypothesises, the model exhibits threshold dynamics with respect to the immune-inactivated reproduction rate R-0 and the immuneactivated reproduction rate R-1. The theoretical results and corresponding numerical simulations show that the intracellular latency, both of virus-to-cell infection and cell-to-cell infection have direct effects on the global dynamics of the general viral infection model. Our results improve and generalize some known results on within-host virus dynamics.
引用
收藏
页码:3835 / 3861
页数:27
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