Extinction and persistence of a stochastic SIRV epidemic model with nonlinear incidence rate
Keyword(s):
AbstractIn this paper, a stochastic SIRV epidemic model with general nonlinear incidence and vaccination is investigated. The value of our study lies in two aspects. Mathematically, with the help of Lyapunov function method and stochastic analysis theory, we obtain a stochastic threshold of the model that completely determines the extinction and persistence of the epidemic. Epidemiologically, we find that random fluctuations can suppress disease outbreak, which can provide us some useful control strategies to regulate disease dynamics. In other words, neglecting random perturbations overestimates the ability of the disease to spread. The numerical simulations are given to illustrate the main theoretical results.
2013 ◽
Vol 2013
◽
pp. 1-4
◽
2018 ◽
Vol 11
(07)
◽
pp. 1850091
◽
2017 ◽
Vol 2017
◽
pp. 1-9
◽
Keyword(s):
2013 ◽
Vol 37
(14)
◽
pp. 2150-2163
Keyword(s):
2016 ◽
Vol 11
(4)
◽
pp. 89-104
◽
Keyword(s):
2008 ◽
Vol 79
(3)
◽
pp. 500-510
◽
Keyword(s):
2019 ◽
2020 ◽
Vol 551
◽
pp. 124152