两类SIV传染病模型的行波解（英文）

Traveling waves for two SIV models

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摘要首先讨论了一个总人口为常数的扩散SIV传染病模型,用几何奇异扰动方法证明了其行波解的存在性.接着说明了另一个具有指数输入的SIV模型也具有类似的结果. The existence of traveling waves is established for a diffusive SIV system with constant total population. The approach used is the geometric singular perturbation method. The same result is suitable to another SIV system with exponential input.

作者任景莉侯园昆

机构地区郑州大学数学与统计学院桂林电子科技大学信息科技学院

出处《上海师范大学学报（自然科学版）》 2015年第3期304-313,224,共10页 Journal of Shanghai Normal University(Natural Sciences)

基金 supported by the NSFC project(11271339) the ZDGD13001 program

关键词行波解存在性奇异扰动 traveling wave solution existence singular perturbation

分类号 O175.26 [理学—基础数学]

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参考文献1

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1Jianquan Li, Yali Yang (Dept. of Applied Math. and Physics, Air Force Engineering University, Xi’an 710051).GLOBAL STABILITY OF AN SVIR EPIDEMIC MODEL WITH VACCINATION[J].Annals of Differential Equations,2011,27(2):162-168. 被引量：2
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1朱慧,熊佐亮.一类具有非线性传染率和脉冲接种的SIV传染病模型[J].南昌大学学报（工科版）,2007,29(1):58-61. 被引量：5
2柳合龙,徐厚宝,于景元,朱广田.带有脉冲免疫和传染年龄的SIV传染病模型解的存在性[J].数学的实践与认识,2005,35(5):131-136.
3王晓静,王丹,崔景安.一类具有直接和间接传播的SIV传染病模型[J].数学的实践与认识,2016,46(4):289-296.
4柳合龙,杨金根.脉冲免疫作用某一年龄群体的SIV模型[J].数学的实践与认识,2007,37(20):65-70.

上海师范大学学报（自然科学版）

2015年第3期

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两类SIV传染病模型的行波解（英文）

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