考虑分阶段细胞免疫生成机制的HIV病毒感染模型  

An HIV Infection Model Concerning the Mechanism of Two-Stage Immunogenesis

作　　者：孔欢 张国洪[1] KONG Huan;ZHANG Guo-hong(School of Mathematics and Statistics,Southwest University,Chongqing 400715,China)

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《西南大学学报（自然科学版）》2020年第5期115-120,共6页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金项目(11701472);教育部基本科研业务费项目(XDJK2017C055).

摘　　要：讨论了一个具有两个阶段细胞免疫生成机制的HIV病毒感染模型.首先证明了无感染平衡点的局部稳定性和全局稳定性,接着得到了免疫未激发平衡点的局部稳定性,最后讨论了免疫激发平衡点的局部稳定的条件.研究表明分阶段免疫生成机制的引入可能导致系统变量产生周期震荡现象,并通过数值模拟证实了上述相关理论结果.In this paper,we discuss an HIV infection model concerning the mechanism of two-stage immunogenesis.First,we prove the local stability and global stability of the non-infectious equilibrium point,then we obtain the local stability of the immune non-activated equilibrium point and,finally,we discuss the conditions for the local stability of the immune-activated equilibrium point.The results show that the introduction of the staged immune generation mechanism may lead to the occurrence of periodic oscillation.At last,the theoretical results are verified by numerical simulation.

关 键 词：分阶段细胞免疫生成机制 稳定性 周期震荡 

分 类 号：O175[理学—数学]