Global dynamics of a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage
Keyword(s):
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.
2016 ◽
Vol 09
(03)
◽
pp. 1650042
◽
Keyword(s):
2018 ◽
Vol 49
(2)
◽
pp. 155-182
◽
2019 ◽
Vol 50
◽
pp. 365-385
◽
Keyword(s):
2020 ◽
Vol 540
◽
pp. 123488
Keyword(s):
2019 ◽
Vol 356
(13)
◽
pp. 7347-7370
◽
Keyword(s):