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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
Source PublicationELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN1072-6691
AbstractThis 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.
KeywordStochastic SIR model extinction persistence stationary distribution
Indexed BySCI
Language英语
Funding ProjectNatural 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 Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000505164000001
PublisherTEXAS STATE UNIV
Document Type期刊论文
Identifierhttp://ir.lut.edu.cn/handle/2XXMBERH/64237
Collection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
Corresponding AuthorHuo, Hai-Feng
Affiliation1.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
First Author AffilicationColl Elect & Informat Engn;  Coll Mat Sci & Engn
Corresponding Author AffilicationColl Elect & Informat Engn;  Coll Mat Sci & Engn
First Signature AffilicationColl Elect & Informat Engn
Recommended Citation
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).
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