scholarly journals Qualitative Analysis of a Stochastic SIR Epidemic Model with Saturated Incidence Rates

2014 ◽  
Vol 03 (03) ◽  
pp. 127-133
Author(s):  
杨 谭
Keyword(s):  
Qualitative Analysis ◽  
Epidemic Model ◽  
Incidence Rates ◽  
Sir Epidemic Model ◽  
Sir Epidemic ◽  
Saturated Incidence ◽  
Stochastic Sir

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.

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