病毒感染模型的定性动力学分析

Qualitative dynamic analysis of virus Inflection model

对持续性病毒感染的动力学模型进行定性分析,通过描述系统的定性状态以及状态之间的转移来对系统的定性行为进行预测.对系统动力学的定性描述进行了扩展,将对应于极值点的定性行为和穿过平衡点的定性行为联系起来;给出了定性状态的生成算法,可以从病毒感染的动力学模型自动生成其定性状态图;给出状态转移算法,实现了定性状态之间的自动转换;分析了病毒感染模型的状态变量和定性趋势,得到系统定性状态之间的转换图,并对其进行了定性仿真分析,该方法为缺少定量信息的病毒感染过程建模提供了一种新思路.

The dynamic system of the durative viral infection was analyzed using the method of qualitative description and the qualitative behaviors of the system were predicted by describing the qualitative states and the transition among these states. The qualitative description of a dynamic system was expanded by relating the qualitative behaviors of extrema and those crossing the equilibrium values. The creating algorithm was given to build the qualitative states automatically from the virus infection dynamic mode, and the reasoning algorithm to define the transitions between these states was presented. The qualitative simulation of a viral infection dynamic model was shown without quantitative formulation of parameters in the system. The study shows that the qualitative dynamic analysis can provide an alternative way to model the virus infection process.