传染病的基本模型及其研究

传染病的基本模型及其研究
                                  

摘要

传染病是危及人类身体健康的重要因素，而传染病的传播过程的研究不可能通过实验的方式进行，因此，传染病模型的建立和研究就很重要.由于不同类型的传染病的传播过程有其各自不同的特点，本文依据通常的传播机理归纳总结了传染病的基本模型，考虑了出生率和死亡率的几种复杂的传染病模型，并对其进行分析.

关键词：SI模型；SIS模型；SIR模型；SEIR模型；SIRS模型.

Basic models of infectious diseases and their analysis

ABSTRACT

Infectious diseases endanger people’s health . However, it is impossible to study the spread of infectious diseases by  experiments . So, establishment and research of models are of great importance. Since various diseases spread differently, we summarize several basic models of infectious diseases, bring up new models considering birth and death rate, and analyse them both quantitatively and qualitatively.

Keywords: SI model; SIS model; SIR model; SEIR model; SIRS model.