DYNAMIC BEHAVIOR OF A STOCHASTIC SIR EPIDEMIC MODEL WITH VERTICAL TRANSMISSION | |
Zhang, Xiao-Bing1,2; Chang, Su-Qin2; Huo, Hai-Feng1,2 | |
2019-11-25 | |
发表期刊 | ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS |
ISSN | 1072-6691 |
摘要 | This article concerns the dynamic behavior of a stochastic SIR epidemic model with vertical transmission. We present sufficient conditions which can determine the extinction and persistence in mean of the epidemic. Also we discuss the asymptotic behavior of the stochastic model around the endemic equilibrium of the corresponding model. Moreover, sufficient conditions for the existence of stationary distribution are established. The results are illustrated by numerical simulations. |
关键词 | Stochastic SIR model extinction persistence stationary distribution |
收录类别 | SCI |
语种 | 英语 |
资助项目 | Natural Science Foundation of China[11661050][11861044] ; NSF of Gansu Province of China[061707] ; Development Program for HongLiu Outstanding Young Teachers in Lanzhou University of Technology, Peoples Republic of China[Q201308] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied ; Mathematics |
WOS记录号 | WOS:000505164000001 |
出版者 | TEXAS STATE UNIV |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | https://ir.lut.edu.cn/handle/2XXMBERH/64237 |
专题 | 理学院 材料科学与工程学院 电气工程与信息工程学院 学科建设与学位办公室 |
通讯作者 | Huo, Hai-Feng |
作者单位 | 1.Lanzhou Univ Technol, Coll Elect & Informat Engn, Lanzhou 730050, Gansu, Peoples R China 2.Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China |
第一作者单位 | 电气工程与信息工程学院; 材料科学与工程学院 |
通讯作者单位 | 电气工程与信息工程学院; 材料科学与工程学院 |
第一作者的第一单位 | 电气工程与信息工程学院 |
推荐引用方式 GB/T 7714 | Zhang, Xiao-Bing,Chang, Su-Qin,Huo, Hai-Feng. DYNAMIC BEHAVIOR OF A STOCHASTIC SIR EPIDEMIC MODEL WITH VERTICAL TRANSMISSION[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS,2019. |
APA | Zhang, Xiao-Bing,Chang, Su-Qin,&Huo, Hai-Feng.(2019).DYNAMIC BEHAVIOR OF A STOCHASTIC SIR EPIDEMIC MODEL WITH VERTICAL TRANSMISSION.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. |
MLA | Zhang, Xiao-Bing,et al."DYNAMIC BEHAVIOR OF A STOCHASTIC SIR EPIDEMIC MODEL WITH VERTICAL TRANSMISSION".ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS (2019). |
条目包含的文件 | 条目无相关文件。 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论