1、差分方程模型的稳定性分析及其应用The Stability Analysis and Application of the Differential Equation Model专业：2011信息与计算科学姓名：郭甜甜指导教师：申请学位级别：学士论文提交日期：2015年5月25日学位授予单位：天津科技大学摘要本文首先对差分方程这一门课程进行全面深入的研究，了解差分方程的背景，学习差分方程的理论知识，在此基础上对差分方程的稳定性进行学习.并研究相应的数学模型，不仅使这一类常见问题更容易得到解决，更增加了人们的实践经验.差分方程模型作为一种重要的数学模型可以使复杂的生活问题准确、形象地反映出来，
3、分方程；稳定性；数学建模；MATLABABSTRACTThis paper firstly gives a profound and systematic overview of the course of differential equation, including its background and the related theories, and uses these knowledge as a basis to study the stability of the differential equations. Then the study of the related m
4、athematical model is given, which will not only make solving this kind of common problems easier, but also provide more practical experience for future studies. As an important mathematical model, the differential equation can reflect the complicated problems in people's life both accurately and vi
5、vidly. And analyzing the outcome of the differential equation will lead to the evaluation and improvement of the problem. In this paper, I mainly analyze five types of models by using differential equations: the first one is the financial model which can be further divided into two parts --- the lo
6、an model which studies the relationship of the debt, the interest rate, the repayment and other related elements and the endowment insurance model which studies the relationship of the premium, the insurance proceeds, the interest rate and other related elements; the second one is the weight-loss p
7、lan model which studies the influence of diet and exercise on keeping fit and has created a plan to lose weight and keep fit; the third one is the cobweb model in market economy which is created by taking i
