Global analysis of a deterministic and stochastic nonlinear SIRS epidemic model
نویسندگان
چکیده
Abstract. 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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*Correspondence: [email protected] 1College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, P.R. China 2State Key Laboratory of Mining Disaster Prevention and Control Co-founded by Shandong Province and the Ministry of Science and Technology, Shandong University of Science and Technology, Qingdao, P.R. China Full list of author information is availab...
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تاریخ انتشار 2011