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- W2947888416 abstract "The aim of this paper is to study the stochastic SIR equation with general incidence functional responses and in which both natural death rates and the incidence rate are perturbed by white noises. We derive a sufficient and almost necessary condition for the extinction and permanence for an epidemic system with multi noises begin{equation*} begin{cases} dS(t)=big[a_1-b_1S(t)-I(t)f(S(t),I(t))big]dt + sigma_1 S(t) dB_1(t) -I(t)g(S(t),I(t))dB_3(t), dI(t)=big[-b_2I(t) + I(t)f(S(t),I(t))big]dt + sigma_2I(t) dB_2(t) + I(t)g(S(t),I(t))dB_3(t). end{cases} end{equation*} Moreover, the rate of all convergences of the solution are also established. A number of numerical examples are given to illustrate our results" @default.
- W2947888416 created "2019-06-07" @default.
- W2947888416 creator A5013236214 @default.
- W2947888416 creator A5048218154 @default.
- W2947888416 date "2018-12-08" @default.
- W2947888416 modified "2023-09-27" @default.
- W2947888416 title "Permanence and Extinction for the Stochastic SIR Epidemic Model" @default.
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- W2947888416 doi "https://doi.org/10.48550/arxiv.1812.03333" @default.
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