基于Simulink的传染病模型仿真

随着计算机的发展,数字仿真技术发展迅速且应用领域十分广泛。而传染病模型作为一类发展已十分成熟的数学模型,对其进行研究的相关文献数不胜数,传染病模型的实际应用也十分广泛,但很少有人将数字仿真技术应用于传染病模型。文章利用Simulink仿真软件对传统的SIR模型和在SIR模型中加入政府宣传防控效用的传染病模型进行仿真。首先建立传统SIR模型与在SIR模型中加入政府宣传防控工作效用的数学模型,然后针对这两类数学模型建立仿真系统,最后通过设置合适的参数值,得出仿真结果并与实际情况相对比,结果表明该仿真的结果与实际情况相吻合。

With the development of computer, digital simulation technology develops rapidly and is widely used in many fields.As a very mature mathematical model, infectious disease model has been studied in numerous literatures, and the practical applicationof infectious disease model is also very extensive. But few people apply digital simulation technology to infectious disease model. Inthis paper, the Simulink simulation software is used to simulate the traditional SIR model and the infectious disease model which isadded to the SIR model to promote the effectiveness of prevention and control. Firstly, the traditional SIR model and the mathematical model of the effectiveness of government propaganda and control are established in the SIR model, and then the simulation system is established for these two kinds of mathematical models. Finally, the appropriate parameters are set up. The simulation resultsare compared with the actual situation, and the results show that the simulation results are consistent with the actual situation.