摘要
根据SARS病毒传播的特性 ,建立了SARS病毒传播的常微分方程模型。利用数学软件Matlab求解了此建立的SARS病毒传播的常微分方程模型 ,画出了有关的图形。利用相轨线性质 ,讨论了SARS病毒传播的常微分方程模型解的有关性质 ,描述了SARS病毒传播的整个过程 ,预测了SARS病毒传播的高峰期 ,对SARS病毒传播的预防控制提供了有关的数学模型理论。
According to the spread characteristics of SARS virus ,this paper establishes the ordinary differential equation models of the spread of SARS virus ,whose solutions are obtained and graphes concerned are drawn by mathe-matical software ,Matlab ,taking advantage of the qualities of phase trajectory , discusses the characteristics concerned the solution ,describes the whole process of the spread of SARS virus ,forecasts the peak period of the spread and provides the relevant mathematical model theory about the prevention and control of the spread of SARS virus.
关键词
数学模型
相轨线
特征指数
阈值
Mathematical Model
Phase Trajectory
Characteristic Exponent
Threshold Value
