摘要

　　　本文結合常微分方程和數學建模的相關知識,應用常微分方法研究建立了一定條件下兩種群相互作用的傳染病模型，并通過對疾病交叉傳染模型的研究分析得到一些結論.

　　　全文共分為三章:第一章是文章的引言,介紹了傳染病模型研究的背景、研究現狀.第二章介紹了一些經典的傳染病模型.第三章建立了六個新的的傳染病模型,是本文的核心部分.

關鍵詞:傳染病;傳染病模型;種群;疾病交叉傳染

ABSTRACT

　　　Based on the related knowledge of the ordinary differential equations and mathematical modeling, the cross-infection disease models with two species are formulated by application differential method. We also obtain some conclusions by analyze and study the cross-infection disease models.

　　　The whole paper is consisted of three parts: The first chapter introduces the background and research status of the infectious disease model. The second chapter describes some tradition of classical epidemic models. The third chapter set up six new infectious diseases, is a key part of the paper.

Keywords: Infections diseases; Epidemic model; Species; Cross-infection of disease