## 微分方程在数学建模中的应用

Application of Differential Equation in Mathematical Modeling
Abstract:This paper makes an introduction about the use of differential equations which are based on process and application of mathematical model of mobile phone virus and traffic flow problems.In the model of mobile phone virus, use SIR to settle the problem of viruses spreading in the network. Set up a model of differential equation traffic flow through the relationship of vehicles conservation. Use the method of characteristic line solution and discontinuity solution to solve the traffic model used in traffic lights summary.
Key words:Differential equation;Mathematical model mobile phone virus;Traffic flow problem

1.微分方程在手机病毒传播模型中的应用    3
1.1情境再现    3
1.2问题分析    3
1.3模型的建立与分析    3
1.3.1模型假设    3
1.3.2模型的建立与分析    3
1.4模型的改进    4
1.4.1模型假设    4
1.4.2模型的建立与分析    4

1.5模型评价与推广    6
2.微分方程在交通流数学模型中的应用    6
2.1问题的提出    6
2.2问题分析与假设    6
2.3交通流微分方程的模型建立    7
2.3.1连续交通流方程模型    7
2.3.2间断交通流方程模型    8
2.4交通流模型的应用    9
2.5模型的评价    14

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