期刊
NONLINEAR ANALYSIS-MODELLING AND CONTROL
卷 16, 期 1, 页码 59-76出版社
INST MATHEMATICS & INFORMATICS
DOI: 10.15388/NA.16.1.14115
关键词
epidemic model; Lypunov function; Ito's formula; global stability; moment exponential stability
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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