The long time behavior of DI SIR epidemic model with stochastic perturbation |
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| Authors: | Daqing Jiang Ningzhong Shi |
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| Institution: | a School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, Jilin, PR China
b School of Mathematics and Statistics, Changshu Institute of Technology, Changshu 215500, Jiangsu, PR China |
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| Abstract: | In this paper, we present a DI SIR epidemic model with two categories stochastic perturbations. The long time behavior of the two stochastic systems is studied. Mainly, we show how the solution goes around the infection-free equilibrium and the endemic equilibrium of deterministic system under different conditions. |
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| Keywords: | Stochastic DI SIR epidemic model Itô 's formula Stochastic Lyapunov function Asymptotically stable |
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