scholarly journals Bifurcation analysis in a discrete SIR epidemic model with the saturated contact rate and vertical transmission

2016 ◽  
Vol 09 (06) ◽  
pp. 4976-4989 ◽  
Author(s):  
Wenju Du ◽  
Jiangang Zhang ◽  
Shuang Qin ◽  
Jianning Yu
Keyword(s):  
Vertical Transmission ◽  
Bifurcation Analysis ◽  
Epidemic Model ◽  
Contact Rate ◽  
Sir Epidemic Model ◽  
Sir Epidemic

scholarly journals Global dynamics of a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Xiaodong Wang ◽  
Chunxia Wang ◽  
Kai Wang
Keyword(s):  
Vertical Transmission ◽  
Epidemic Model ◽  
Media Coverage ◽  
Existence And Uniqueness ◽  
Deterministic Model ◽  
Reproduction Number ◽  
Global Dynamics ◽  
Sir Epidemic Model ◽  
Sir Epidemic ◽  
Stochastic Sir

AbstractIn this paper, we study a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage. For the deterministic model, we give the basic reproduction number $R_{0}$ R 0 which determines the extinction or prevalence of the disease. In addition, for the stochastic model, we prove existence and uniqueness of the positive solution, and extinction and persistence in mean. Furthermore, we give numerical simulations to verify our results.

scholarly journals Three kinds of TVS in a SIR epidemic model with saturated infectious force and vertical transmission

2009 ◽  
Vol 33 (4) ◽  
pp. 1923-1932 ◽  
Author(s):  
Shaoying Liu ◽  
Yongzhen Pei ◽  
Changguo Li ◽  
Lansun Chen
Keyword(s):  
Vertical Transmission ◽  
Epidemic Model ◽  
Sir Epidemic Model ◽  
Sir Epidemic
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