Journal
NONLINEAR ANALYSIS-MODELLING AND CONTROL
Volume 16, Issue 1, Pages 59-76Publisher
INST MATHEMATICS & INFORMATICS
DOI: 10.15388/NA.16.1.14115
Keywords
epidemic model; Lypunov function; Ito's formula; global stability; moment exponential stability
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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.
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