Global analysis of a deterministic and stochastic nonlinear SIRS epidemic model
2011 ◽
Vol 16
(1)
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pp. 59-76
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Keyword(s):
We present in this paper an SIRS epidemic model with saturated incidence rate and disease-inflicted mortality. The Global stability of the endemic equilibrium state is proved by constructing a Lyapunov function. For the stochastic version, the global existence and positivity of the solution is showed, and the global stability in probability and pth moment of the system is proved under suitable conditions on the intensity of the white noise perturbation.
2017 ◽
Vol 25
(1)
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2016 ◽
Vol 24
(1)
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Keyword(s):
Keyword(s):
2019 ◽
Vol 267
(3)
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pp. 1859-1898
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2016 ◽
Vol 09
(05)
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pp. 1650068
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2019 ◽
Vol 514
◽
pp. 671-685
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2015 ◽
Vol 08
(04)
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pp. 1550048
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Keyword(s):