两类病毒动力学模型分析

发布时间：2018-05-22 18:32

本文选题：HIV + HCV　；参考：《信阳师范学院》2015年硕士论文

【摘要】：本文对HIV和HCV在个体体内的感染过程进行了建模与研究.建立和研究具有潜伏和时滞的个体体内HIV-1感染模型.对模型的动力学性态进行了系统研究,给出了模型基本再生数的表达式,运用构造Lyapunov函数方法,证明了未感染平衡点和感染平衡点的全局稳定性,数值模拟对理论结果进行了验证.建立和研究具有分布时滞的HCV感染模型.给出了模型基本再生数的表达式,运用构造Lyapunov函数方法,证明了未感染平衡点和感染平衡点的全局稳定性.
[Abstract]:The infection process of HIV and HCV in individuals was modeled and studied. To establish and study the model of HIV-1 infection in individuals with latency and delay. The dynamic behavior of the model is studied systematically, the expression of the basic reproducing number of the model is given, and the global stability of the uninfected equilibrium point and the infected equilibrium point is proved by using the method of constructing Lyapunov function. The theoretical results are verified by numerical simulation. HCV infection model with distributed delay was established and studied. The expression of the basic reproducing number of the model is given, and the global stability of the uninfected equilibrium point and the infected equilibrium point is proved by using the method of constructing Lyapunov function.
【学位授予单位】：信阳师范学院
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：O175

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