一个流感动力学模型的定性性质毕设论文.doc

本科毕业论文(设计) 题 目 一个流感动力学模型的定性性质 摘要 自从传染病出现以来，人类因其死亡的人数无以计数。流行病中的流感是一种很典型的传染病，研究流感模型对传染病有很大意义。本文建立了流感模型来讨论传染病的传播及相关问题。 1.在第一章中，我们主要介绍流感的定义，分类和背景，并且详细的阐述了流感的传播原理和流感带来的危害，以及研究流感的现实意义。 2.在第二章中，我们建立了一个简单的SLIR模型，并对模型做了简单的分析，引入了一些定义和引理作为预备知识。 3.第三章是详细的讨论第二章中建立的模型，对模型解的非负性和有界性进行证明。 4.在第四章中我们详细的讨论了易感者人群和染病者人群，从心理，社会因素，家庭因素，等等方面来分析这两类人群，还补充了一些人体免疫能力方面的知识，如何增强自身免疫能力，在日常生活中怎样保持健康的身心。。 5.在第五章中讨论了染病者的最终去向问题，染病者走向灭亡或持续生存。 关键词： 流感，易感者，染病者，潜入者，康复者，模型的解的非负性，解的讨论，染病者的去向。 Abstract Since the emergence of infectious diseases , because of the number of human deaths to count . The flu epidemic is a very typical infectious diseases, research on infectious diseases influenza model has great significance. Model established in this paper to discuss the flu spread of infectious diseases and related issues. 1.In the first chapter, we introduce the flu definition, classification and background , and a detailed exposition of the principles of the spread of influenza and influenza harm , as well as studies of influenza practical significance.Chapter 2. In the second chapter, we created a simple SLIR model, and the model did a simple analysis , introduces some definitions and lemmas as preliminaries 3.The third chapter is to discuss the model established in the second chapter details on model solutions of non-negative and bounded sexual conduct proof 4.In chapter 4, we discussed in detail the susceptible populations and those infected populations 4 , from psychological and social factors , family factors, etc., to analyze these two groups , but also added some knowledge of the bodys immune capacity how to enhance their immunity, in everyday life how to maintain a healthy body and mind. 5. discusses the ultimate fate of the problem infected persons in the fifth chapter , the infected person demise or continued survival . Keywords: non- negative solutions of flu , susceptible, infected persons , infiltrators , ex- model and discuss the sol