具有飞沫和直接接触感染的传染病模型分析Analysis of an Epidemic Model through Droplet Infection and Direct Contact
武文江,贾建文
摘要(Abstract)：
考虑由飞沫传染和直接接触引发的传染病,建立了具有非线性接触率和非线性治愈率的脉冲时滞SIRS传染病模型.定义了两个正数R1和R2,并且证明了当R1<1时,系统的无病周期解是全局吸引的,当R2>1时系统持久.最后利用数值模拟验证了主要结论.
关键词(KeyWords)： 飞沫传染;脉冲接种;灭绝;持久
基金项目(Foundation): 山西省自然科学基金资助项目(2013011002-2)
作者(Author): 武文江,贾建文
DOI: 10.13705/j.issn.1671-6841.2016040
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