山西大学学报（自然科学版）2026，Vol.49Issue(2)：254-262,9.DOI:10.13451/j.sxu.ns.2024120
具有体液免疫和凋亡率的病毒模型分析
Analysis of Viral Infection Models with Humoral Immunity and Apoptosis Rates
摘要
Abstract
In order to investigate the effects of humoral immunity and induction of apoptosis in uninfected cells by infected cells on viral transmission,this paper presents a dynamic model of viral infection with humoral immunity,cell-to-cell transmission and apop-tosis rate.Firstly,the non-negativity and boundedness of the model solutions are given,and the basic reproduction number R0 and the humoral immune activation basic reproduction number RH of the model are obtained by simple calculations.Secondly,the local and global asymptotic stability of the disease-free equilibrium and the immune response free equilibrium are proved by using the Routh-Hurwitz criterion and Lyapunov-LaSalle theorem.Finally,by numerical simulation verified the correctness of the theoretical results,and the increase in apoptosis rate was found to have a positive effect on the control of viral infection.关键词
病毒感染模型/细胞间传播/细胞诱导凋亡/体液免疫Key words
viral infection model/cell-to-cell transmission/induced apoptosis/humoral immunity分类
数理科学引用本文复制引用
孟茹,罗颜涛,奴日曼古丽·吐尔送..具有体液免疫和凋亡率的病毒模型分析[J].山西大学学报（自然科学版）,2026,49(2):254-262,9.基金项目
新疆维吾尔自治区自然科学基金(2022D01C64) （2022D01C64）
国家自然科学基金(12201540) （12201540）
